dy for 2xy - 3x+5y = - 30, with the conditions dx Assume x and y are functions of t. Evaluate = - 10, x=5, y= -1. dt dt dt (Type an exact answer in simplified form.)

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y%3D 2x . -5 dy

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A: Topic = Derivative

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A: y= 3x-2Find dy/dx when x changes from x=2 to x= 2.03

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Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

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Q: dy Find - given that dt dx x + y? = 3x + 5y, x = 4 y = 1, and 9. dt dy dt II

A: As we know that the chain rule: dydx=dydt×dtdx The Power rule: ddxxn=nxn-1 Given: x2+y2=3x+5y…

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Q: 2. Assume w=xy* , where x and y are functions of t. dw Find dt dx =2, when x=3, dt dy - 4, and y=1…

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Q: Let y = 4/T. Find the change in y, Ay when a 3 and Ar Find the differential dy when x 3 and dx 0.2

A: fx=4x here x=3 f3=43 . Δx=0.2 fx+Δx=4x+Δx f3+0.2=43+0.2 f3.2=43.2 . Δy=f3.2-f3 Δy=43.2-43…

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Q: dy dx Assume x and y are functions of t. Evaluate for 4xy - 2x + 4y³ = - 28, with the conditions dt…

A: Given,            4xy - 2x + 4y3 = -28 and dxdt= -16, x = 4, y = -1

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A: given y=3x2-3 ........(1)

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Q: dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and…

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Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows

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Q: a) How is ds/dt related to dx/dt if y is constant? ds/dt=___(dx/dt)

A: Consider a function S with variable x and y as constant. S=fx+ywhere, fx=function with x as…

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A: Here, dxdt=ddt7tet      =7tddtet+etddtt(used product rule)      =7tet+et(1)      =7et(t+1) Now,…

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Q: dy Find dx x2 y = dt dy dx (Type an exact answer in terms of e.)

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A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Let y = (x² + 3)². Find the differential dy when x = 5 and da = 0.2 Find the differential dy when x…

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Q: dy for 2xy - 4x +2y3 = - 32, with the conditions dt dx 3 - 4, х%3D2, у%3 -2. Assume x and y are…

A: 2xy-4x+2y3=-32 Differentiating with respect to t, we get…

Q: E. Find , and in terms of dx dt' dt 1. x = t°- 1 2. x = 4t + 3 y = 3t – 2 y = 4 - t

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

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A: We will find the derivatives and value at a point.

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A: Given that: y=3x       NOTE: As per our answering guidelines, we can only answer 1 question or 3…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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