Which of the following is dž for t = 1 if dz dt 2t Z = In(x²y³), x = e¹ and y = e²¹ ? Select one: O None of them e² 08 0 1

Q: If y = 2x3 + 5x and dx = 2, find dt dy Y when x = 4. dt dy - dt

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Q: If y= X In x, Find d'y

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Q: Evaluate e |/| 2xz dV where E = {(x, y, z) | 0 < z < 1, ¤ < y < 2x, 0 < z < z + 3y} E Round your…

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Q: ind the derivative with respect to x for the follo a. y = 43x b. f(x) = 22x3cos x c. y = tan(23*) d.…

A: Since you have posted multiple questions with multiple subparts, we will solve the first three…

Q: Let dy dx V 2 + by = ay + . Find at (2, 0). O 73 23 13 | من 0 19 3 ان | دن 3

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Q: Let A = {x E Z: 8x} and let B={rEZ:12lx}. Then * ACB ВСА None of these A=B

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Q: let y = x² +5, find dy/dx O none of these answers O 2x+5 2x O x²

A: Given query is to find derivative.

Q: Which of the following is true if 2x y = 5 + "e* dt a. and y(1) = 5 e dx O b. dy 2eAx and y(0) = 5…

A: Explanation of the answer is as follows

Q: Assume that x = x(t) and y = y(t). Find x² + y² =4.52: dx using the following information. dy = -2…

A: The objective of the question is to find the derivative of the equation x² + y² = 4.52 with respect…

Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

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Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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Q: Let xy - x³ + 15y - 35 = 0. Compute dy. dx dy dx ||

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Q: dr Find dt

A: Given that r=s+1   and   s=16t2-20t. Obtain the derivative as follows.

Q: dy Find for each of the following functions dx 2x – 5 - y = In xVx² + 1 y = xCos(z)

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Q: Find for y=x cott²dt. dy dx 2

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Q: 2. Evaluate the following: d a. dx 2 1+t? d c anx 1 -dt b. (8-2x) dx x' +1 C. Jo x+1 dx

A: We have to evaluate the following integrals: a.  ddx∫2tanx11+t2dtb. ∫138-2xdxc. ∫01x3+1x+1dx We know…

Q: ression for dy over dx given that (x + y)5 + 2x4 + y2 = 300

A: Given that the equation is                          (x + y)5+2x4 +y2=300.                  To find…