Let z(x, y) 2x2 – 3y? where a 2s – 4t & y = 9s + 8t. he at dy dx az Calculate ds dz by first finding & and using the chain rule. & - at as as' at az as at

Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

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Q: Use the product rule to help you find dy/dx for each of the following functions: 13. y = (x²)(2x -…

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Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: 2 (In x)² x3 da

A: Introduction: The definite integral of any function can be expressed either as the limit of a sum…

Q: - ydx + (x ++ Vxy )dy= 0

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Q: 2y′ + y = 3t2

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Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

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Q: Let X: EXP(0). suppose Y= 2x , the Y is i = 1 Select one: a. Gamma (n,-) b. Camma(n. 4) С.…

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Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: L Lyx² exydxdy -y

A: We need to evaluate ∫-10∫-y1x2 exy dx dy The region of integration is given as Here -y≤x≤1-1≤y≤0 On…

Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: 49y" — 42y + 5y = 0, and - y(4) = 4, y'(4) = 1. y =

A: 49y''-42y'+5y=0, y(4)=4, y'(4)=1 Auxiliary equation 49m2-42m+5=0

Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

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Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

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Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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Q: 4 Let f(x) = 6x°va + || f'(x) =

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Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

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Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

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