Ex 6.2, 7 Show that 𝑦 = log (1 + 𝑥) – 2𝑥/ (2 + 𝑥) , 𝑥 > – 1 , is an increasing function of 𝑥 throughout its domain.Given 𝑦 = log (1+𝑥) – 2𝑥/ (2 + 𝑥) , 𝑥 > –1We need to show that y is strictly increasing function for 𝑥 > –1 i.e. we need to show that (𝒅𝒚 )/𝒅𝒙 > 0 for 𝒙 …Solve by Substitution x^2+y^2=1 , x^2-y^2=1, Step 1. Solve for in . Tap for more steps... Step 1.1. Add to both sides of the equation. Step 1.2. Take the specified root of both sides of the equation to eliminate the exponent on the left side. Step 1.3.Solve by Substitution x^2+y^2=1 , x^2-y^2=1, Step 1. Solve for in . Tap for more steps... Step 1.1. Add to both sides of the equation. Step 1.2. Take the specified root of both sides of the equation to eliminate the exponent on the left side. Step 1.3. Algebra. Graph y=1/2x^2. y = 1 2 x2 y = 1 2 x 2. Combine 1 2 1 2 and x2 x 2. y = x2 2 y = x 2 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Free system of equations calculator - solve system of equations step-by-stepparallel\:y=\frac{1}{4}x-3,\:(4,0) parallel\:y=3x-2,\:(-1,3) parallel\:2x-y=8,\:(3,4) Show More; Description. Find the equation of a parallel line step-by-step. parallel-line-calculator. en. Related Symbolab blog posts. Slope, Distance and More. Ski Vacation? Nope, this is serious stuff; it’s about finding the slope of a line, finding …Algebra. Graph y=x^ (1/2) y = x1 2 y = x 1 2. Graph. y = x1 2 y = x 1 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Jan 30, 2024 · Then we have. Now for any positive number, either it or its reciprocal must exceed 1, unless both are 1. If xy is negative, then the statement is obvious since xy < 0 ≤x2 +y2. Otherwise, xy is non-negative, and we can show that xy ≤ 2xy ≤x2 +y2, where the latter follows from the trivial inequality (x − y)2 ≥ 0.Get ratings and reviews for the top 6 home warranty companies in Middlebury, VT. Helping you find the best home warranty companies for the job. Expert Advice On Improving Your Home...Credit checks are your ticket to everything from a new credit card account to a loan for furniture, a car or even a new house. The Federal Reserve Bank of San Francisco's website e...Click here:point_up_2:to get an answer to your question :writing_hand:if xsqrt 1 y 2 ysqrt 1 x 2. Solve. Guides. Join / Login. Use app Login. 0. You visited us 0 times! Enjoying our articles? Unlock Full Access! Standard XII. Mathematics. Question. ... If cos − 1 (x 2 − y 2 x 2 + y 2) = tan ...Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to, use that power of … Divide 1-y, the coefficient of the x term, by 2 to get \frac{1-y}{2}. Then add the square of \frac{1-y}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square. Type a math problem. Solve. Quadratic equation. x2 − 4x − 5 = 0. Trigonometry. 4sinθcosθ = 2sinθ. Linear equation. y = 3x +4. Arithmetic. 699 ∗533. Matrix. [ 2 5 3 4][ 2 −1 0 1 3 5] Simultaneous equation. { 8x + 2y = 46 7x + 3y = 47. Differentiation. dxd (x −5)(3x2 −2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 +2x −3x2 −9. More Examples. a) Multiply the whole number 1 by the denominator 2. Whole number 1 equally 1 * 2. b) Add the answer from the previous step 2 to the numerator 1. New numerator is 2 + 1 = 3. c) Write a previous answer (new numerator 3) over the denominator 2. One and one half is three halfs. Multiply both numerators and denominators. Step-by-step solutions for differential equations: separable equations, first-order linear equations, first-order exact equations, Bernoulli equations, first-order substitutions, Chini-type equations, general first-order equations, second-order constant-coefficient linear equations, reduction of order, Euler-Cauchy equations, general second-order equations, higher-order equations. 10 years ago. y = a (x-h)^2 + k is the vertex form equation. Now expand the square and simplify. You should get y = a (x^2 -2hx + h^2) + k. Multiply by the coefficient of a and get y = ax^2 -2ahx +ah^2 + k. This is standard form of a quadratic equation, with the normal a, b and c in ax^2 + bx + c equaling a, -2ah and ah^2 + k, respectively.Circle on a Graph. Let us put a circle of radius 5 on a graph: Now let's work out exactly where all the points are.. We make a right-angled triangle: And then use Pythagoras:. x 2 + y 2 = 5 2. There are an infinite number of those points, here are some examples:Hiking the Santa Rosa Mountains is one of the top attractions in the Palm Springs area. Find out more in this guide to hiking the Santa Rosa Mountains. Advertisement For most of us...My favorite part of the holiday season, next to family time and watching every Hallmark movie ever created, is the food. My mom and grandma make homemade kremas (think eggnog, but ...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Recipe 1: Compute a Least-Squares Solution. Let A be an m × n matrix and let b be a vector in Rn. Here is a method for computing a least-squares solution of Ax = b: Compute the matrix ATA and the vector ATb. Form the augmented matrix for the matrix equation ATAx = ATb, and row reduce.Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to, use that power of …perpendicular\:y=-5x+2,\:x=1 ; perpendicular\:4x-2y+6=0,\:(2,7) perpendicular\:y=3x-2,\:x=-1 ; Show More; Description. Find the equation of a perpendicular line step-by-step. perpendicular-line-calculator. en. Related Symbolab blog posts. Slope, Distance and More. Ski Vacation? Nope, this is serious stuff; it’s about finding the … Algebra. Graph y= (1/2)^x. y = ( 1 2)x y = ( 1 2) x. Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 y = 0. Horizontal Asymptote: y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations ... Algebra. Expand Using the Binomial Theorem (1-x^2)^2. (1 − x2)2 ( 1 - x 2) 2. Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n = n ∑ k=0nCk⋅(an−kbk) ( a + b) n = ∑ k = 0 n n C k ⋅ ( a n - k b k). 2 ∑ k=0 2! (2− k)!k! ⋅(1)2−k ⋅(−x2)k ∑ k = 0 2 2! ( 2 - k)! k! ⋅ ( 1) 2 - k ⋅ ... plot x^2+y^2<1 and y>x. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….Despite the myth, sharks don’t need to keep swimming to keep breathing. Early-stage startups, on the other hand, are not so fortunate. Americans spent nearly $20 billion on pizza d... Graph y=1/x. y = 1 x y = 1 x. Find where the expression 1 x 1 x is undefined. x = 0 x = 0. Consider the rational function R(x) = axn bxm R ( x) = a x n b x m where n n is the degree of the numerator and m m is the degree of the denominator. 1. If n < m n < m, then the x-axis, y = 0 y = 0, is the horizontal asymptote. 2. Graph y=(x-1)^2. Step 1. Find the properties of the given parabola. Tap for more steps... Step 1.1. Use the vertex form, , to determine the values of , , and . Step 1.2. Since the value of is positive, the parabola opens up. Opens Up. Step 1.3. Find the vertex. Step 1.4. Find , the distance from the vertex to the focus.Find the area of the region included between the parabola y2 = x and the line x + y = 2. Maharashtra State Board HSC Arts (English Medium) 12th Standard Board Exam. Question ... [ \Rightarrow y = - 2\text{ or }y = 1\] \[ \therefore x = 4 \text{ or }1\] \[\text{ Consider a horizantal strip of length }\left| x_2 - x_1 \right|\text{ and width }dy ...Note: General Form always has x 2 + y 2 for the first two terms.. Going From General Form to Standard Form. Now imagine we have an equation in General Form:. x 2 + y 2 + Ax + By + C = 0. How can we get it into Standard Form like this? (x−a) 2 + (y−b) 2 = r 2 The answer is to Complete the Square (read about that) twice ... once for x … Graph y=1/x. y = 1 x y = 1 x. Find where the expression 1 x 1 x is undefined. x = 0 x = 0. Consider the rational function R(x) = axn bxm R ( x) = a x n b x m where n n is the degree of the numerator and m m is the degree of the denominator. 1. If n < m n < m, then the x-axis, y = 0 y = 0, is the horizontal asymptote. 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Get the free "Equivalent Expression Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.Algebra Graph y=1/2x+2 y = 1 2 x + 2 y = 1 2 x + 2 Rewrite in slope-intercept form. Tap for more steps... y = 1 2x+ 2 y = 1 2 x + 2 Use the slope-intercept form to find the slope and …Divide -y, the coefficient of the x term, by 2 to get -\frac{y}{2}. Then add the square of -\frac{y}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square.richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 ...y=-1/2x+3 Geometric figure: Straight Line Slope = -1.000/2.000 = -0.500 x-intercept = 6/1 = 6.00000 y-intercept = 6/2 = 3 Rearrange: Rearrange the equation by subtracting what is …If y = y (x) is the solution of the differential equation, x d y d x + 2 y = x 2 satisfying y (1) = 1, then y (1 2) is equal to: View Solution. Q4. A function y (t), such that y (0) = 1 and y (1) = 3 e ...Algebraic fractions Calculator. Get detailed solutions to your math problems with our Algebraic fractions step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here. Type a …Vicinity Motor News: This is the News-site for the company Vicinity Motor on Markets Insider Indices Commodities Currencies StocksHINT: (x+y)(x+y+xy+2)=-xy There exist no solution for positive integers x,y, since L.H.S. is +ve and R.H.S. is -ve. What if both -ve or one +ve, one -ve? ... 对 x^{2}+\left(2-2y\right)x+\left(1-y\right)^{2} 进行因式分解。一般而言，当 x^{2}+bx+c 为完全平方数时，总是可以因式分解为 \left(x+\frac{b}{2}\right)^{2} 这 ... Graph y-2=-2 (x-1) y − 2 = −2(x − 1) y - 2 = - 2 ( x - 1) Move all terms not containing y y to the right side of the equation. Tap for more steps... y = −2x+4 y = - 2 x + 4. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: −2 - 2. y-intercept: (0,4) ( 0, 4) Ex 5.5, 12 Find 𝑑𝑦/𝑑𝑥 of the functions in, 𝑥^𝑦 + 𝑦^𝑥 = 1 𝑥^𝑦 + 𝑦^𝑥 = 1 Let 𝑢 = 𝑥^𝑦 , 𝑣 = 𝑦^𝑥 Hence, 𝑢+𝑣=1 Differentiating both sides 𝑤.𝑟.𝑡.𝑥. (𝑑(𝑣〖+ 𝑢〗))/𝑑𝑥 = 𝑑(1)/𝑑𝑥 𝑑𝑣/𝑑𝑥 + 𝑑𝑢/𝑑𝑥 = 0 (Derivative of constant is 0) Calculating 𝒅𝒗/𝒅𝒙 𝑣=𝑥^𝑦 Taking ...This implies that |y| = y, thus the question becomes is x·y > y^2. Reduce by y (we can safely do this since we know that y is positive): is x > y. We don't know that. Not sufficient. (1)+ (2) From (2) the question became whether x > y and (1) confirms that. Sufficient. Answer: C.Rewrite in slope-intercept form. Tap for more steps... y = − 1 2x+3 y = - 1 2 x + 3. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: − 1 2 - 1 2. y-intercept: (0,3) ( 0, 3) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y ...To graph a point, enter an ordered pair with the x-coordinate and y-coordinate separated by a comma, e.g., . To graph two objects, simply place a semicolon between the two commands, e.g., y=2x^2+1; y=3x-1. Polynomials. Algebra Calculator can simplify polynomials, but it only supports polynomials containing the variable x.Mar 30, 2015 · To find the derivative of a ratio, apply the formula. D f (x) g(x) = f '(x)g(x) −f (x)g'(x) g2(x) In particular, if f (x) = 1, you have that f '(x) = 0, and the expression becomes. D 1 g(x) = −g'(x) g2(x) Since your g(x) is x2, you easily get that g'(x) = 2x. So, −g'(x) g2(x) = − 2x x4 = − 2 x3. Answer link. Divide -y, the coefficient of the x term, by 2 to get -\frac{y}{2}. Then add the square of -\frac{y}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square.degree\:57y-y^{2}+(y+1)^{2} degree\:(2x+3)^{3}-4x^{3} degree\:3x+8x^{2}-4(x^{2}-1) Show More; Description. Find the degree of a polynomial function step-by-step. polynomial-degree-calculator. en. Related Symbolab blog posts. Middle School Math Solutions – Polynomials Calculator, Adding Polynomials.y-intercept: (0,4) ( 0, 4) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 4 2 5 x y 0 4 2 5. Graph the line using the slope and the y-intercept, or the points. Slope: 1 2 1 2. y-intercept: (0,4) ( 0, 4) x y 0 4 2 5 x y 0 4 …Real numbers x,y satisfies x2 + y2 = 1. If the minimum and maximum value of the expression z = 7−x4−y are m and M. How do you solve the system of equations x2 + y2 = 11 and x + y = 15 by substitution? See below Explanation: We set x= 15 −y (from the second equation). Then, x2+y2 = 11 (15−y)2 +y2 = 11 ...20h. $0.0000007880 Super Trump (STRUMP) realtime price charts, trading history and info - STRUMP / SOL on Solana / Raydium.Divide both sides by cos2(x) to get: cos2(x) cos2(x) + sin2(x) cos2(x) = 1 cos2(x) which simplifies to: 1 + tan2(x) = sec2(x) Answer link. See explanation... Starting from: cos^2 (x) + sin^2 (x) = 1 Divide both sides by cos^2 (x) to get: cos^2 (x)/cos^2 (x) + sin^2 (x)/cos^2 (x) = 1/cos^2 (x) which simplifies to: 1+tan^2 (x) = sec^2 (x)Click here:point_up_2:to get an answer to your question :writing_hand:the solution set of log122x24xgeq 2 is Algebra. Simplify (1/x+1/y)/ (1/ (x^2)-1/ (y^2)) 1 x + 1 y 1 x2 − 1 y2 1 x + 1 y 1 x 2 - 1 y 2. Multiply the numerator and denominator of the fraction by y2x2 y 2 x 2. Tap for more steps... y2x2(1 x + 1 y) y2x2 ( 1 x2 − 1 y2) y 2 x 2 ( 1 x + 1 y) y 2 x 2 ( 1 x 2 - 1 y 2) Apply the distributive property. Print lines of output; each line (where ) contains the of in the form: N x i = result. Sample Input. 2 Sample Output. 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8 2 x 5 = 10 2 x 6 = 12 2 x 7 = 14 2 x 8 = 16 2 x 9 = 18 2 …y-intercept: (0,4) ( 0, 4) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 4 2 5 x y 0 4 2 5. Graph the line using the slope and the y-intercept, or the points. Slope: 1 2 1 2. y-intercept: (0,4) ( 0, 4) x y 0 4 2 5 x y 0 4 2 5.If you’re on the most recent version of Windows 10, you might have noticed that you can’t create guest accounts like you used to. Here’s a workaround to fix that problem. If you’re...Vacationing at resorts in the mountains is on-trend for 2022. Mountain vacations offer luxury relaxation in beautiful natural settings. Respite from the city, endless adventure, sn...e x p a n d p o l y n o m i a l x-3 x 3 + 5 x-2. Math Input. Natural Language; ... quotient of x^3-8x^2+17x-6 with x-3; remainder of x^3-2x^2+5x-7 divided by x-3; roots of x^2-3x+2; View more examples; Access instant learning tools. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... Divide 1-y, the coefficient of the x term, by 2 to get \frac{1-y}{2}. Then add the square of \frac{1-y}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square. Algebra. Find the Domain and Range y=1/ (x^2) y = 1 x2 y = 1 x 2. Set the denominator in 1 x2 1 x 2 equal to 0 0 to find where the expression is undefined. x2 = 0 x 2 = 0. Solve for x x. Tap for more steps... x = 0 x = 0. The domain is all values of x x that make the expression defined. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Indices Commodities Currencies StocksAnswer: The graph is attached below. Step-by-step explanation: y – 1 = 2(x – 2) y-1 = 2x - 4. add 1 on both sides. y = 2x - 3. To graph the given equation we make a tableCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Divide 1, the coefficient of the x term, by 2 to get \frac{1}{2}. Then add the square of \frac{1}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square. We're given a table of values and told that the relationship between x and y is linear. Then we're asked to find the intercepts of the corresponding graph. The key is realizing that the x -intercept is the point where y = 0 , and the y -intercept is where x = 0 . The point ( 7, 0) is our x -intercept because when y = 0 , we're on the x -axis. . Algebra Graph y=1/2x+2 y = 1 2 x + 2 y = 1 2 x + Statement One Alone: x^2 - y^2 < 0 We y-intercept: (0,4) ( 0, 4) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 4 2 5 x y 0 4 2 5. Graph the line using the slope and the y-intercept, or the points. Slope: 1 2 1 2. y-intercept: (0,4) ( 0, 4) x y 0 4 2 5 x y 0 4 2 5.Real numbers x,y satisfies x2 + y2 = 1. If the minimum and maximum value of the expression z = 7−x4−y are m and M. How do you solve the system of equations x2 + y2 = 11 and x + y = 15 by substitution? See below Explanation: We set x= 15 −y (from the second equation). Then, x2+y2 = 11 (15−y)2 +y2 = 11 ... This is how the solution of the equation 2 x 2 − 12 x + 18 = 0 26 Aug 2020 ... Sketch the region enclosed by the given curves. Decide whether to integrate with respect to or . Draw a typical approximating rectangle and ...Rewrite in slope-intercept form. Tap for more steps... y = 1 3x+ 2 y = 1 3 x + 2. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 1 3 1 3. y-intercept: (0,2) ( 0, 2) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Step 1: Enter the linear equation you want to...

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