Simplify ( (3x^ (3/2)y^3)/ (x^2y^ (1/2)))^2 ( 3x3 2 y3 x2y−1 2)−2 ( 3 x 3 2 y 3 x 2 y 1 2) 2 Move x3 2 x 3 2 to the denominator using the negative exponent rule bn = 1 b−n b n = 1 b n ( 3y3 x2y−1 2x−3 2)−2 ( 3 y 3 x 2 y 1 2 x 3 2) 2 Multiply x2 x 2 by x−3 2 x 3 2 If √x √y = 5, then dy/dx at (4,9) is (a) 2/3 (b) 3/2 (c) 3/2 (d) 2/3 asked in Mathematics by KumariMuskan ( 339k points) bseb model setPiece of cake Unlock StepbyStep Natural Language
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3/x y 2/x-y=3 2/x y 3/x-y=11/3- So, for the given example, we see that we will use the power rule on the lefthand side On the right, don't be misled by the twothirds power a2 3 is still a constant d dx (x2 3 y2 3) = d dx a2 3 Power rule 2 3 x− 1 3 2 3y−1 3 dy dx = 0 Multiply both sides by 3 2 x− 1 3 y− 1 3 dy dx = 0 1 x1 3 1 y1 3 dy dx = 0X^3 x^2 y x y^2 y^3 WolframAlpha Volume of a cylinder?
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Solve the following systems of equations 2/x 3/y = 9/xy 4/x 9/y = 21/xy, where, x ≠ 0, y ≠ 0 asked Apr 26 in Statistics by Haifa ( 521k points) pair of linear equations in two variablesStep by step solution of a set of 2, 3 or 4 Linear Equations using the Substitution Method y=x3;y=2x3 Tiger Algebra SolverSystemofequationscalculator 3x^2=y, x1=y en Related Symbolab blog posts High School Math Solutions – Systems of Equations Calculator, Elimination A system of equations is a collection of two or more equations with the same set of variables In this blog
Subtract x^ {3} from both sides Subtract x 3 from both sides Combine x^ {3} and x^ {3} to get 0 Combine x 3 and − x 3 to get 0 Reorder the terms Reorder the terms This is true for any x This is true for any x Use the distributive property to multiply xy by x^ {2}xyy^ {2Simple and best practice solution for 1/3xy=2 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand,Algebra Graph y=3/2x2 y = − 3 2 x − 2 y = 3 2 x 2 Rewrite in slopeintercept form Tap for more steps The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x b Write in y = m x b y = m x b form Tap for more steps
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or x = 2y 3 y − 1 Hence inverse of y = x 3 x − 2 is y = 2x 3 x −1 Observe that each of the function is a reflection of the other in the line x = y graph { (y (x3)/ (x2)) (y (2x3)/ (x1)) (xy)=0 10, 10, 5, 5} Answer link
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