Let u = exsin(y), where x = -(1/2)ln(t) and y = (pi)(t). Find du/dt when x = ln(2) and y = (pi/4)

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A: Explanation is given below...

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A: Use fundamental  theorem of calculus

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A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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Q: Find the total differential of the function. 5x + у f(x, у, 2) y + 3z df =

A: Total differentiation

Q: Let y = 5x?. Find the change in y, Ay when a = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: Find the total differential w = x2yz2 + sin yz

A: Partially differentiate w = x2yz2 + sin yz with respect to x and keep y and z as constants.…

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Q: Suppose y = square root 2x + 1 where x and y function of t . A) if dx/dt =12 , find dy/dt. When x= 4…

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Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8Vx + dy

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Q: Let xy = 3 and dy/dt = 4. Find dx/dt when x=2?

A: Given :                xy = 3  , dydt = 4 To find :                      dxdt when x=2

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Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y f(x, y, z) =…

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Q: suppose that x and y are both differentiable functions of t and are related by the given equation.…

A: Suppose that x and y are both differentiable functions of t and are related by the given equation…

Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: Find the differential of the function. y = sqrt(1+ln(z))   dy=?

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Q: Estimate Ay using differentials. y = x/5 e3x-1 a = 1, dx = 0.1 (Give your answer to four decimal…

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Q: Let y = tan(2x +5). Find the differential dy when x 3 and dr = 0.1 Find the differential dy when z =…

A: Given that y=tan(2x+5) find the differential dy when x=3 and dx=0.1 find the differential dy when…

Q: Find the change in y, Ay when x 1 and Ax = 0.1 Find the differential dy when x = 1 and dx 0.1

A: Let y=5x^3

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A: First differentiate then put the values

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A: The objective is to find total derivative dw.

Q: Find the differential dy when x = 3 and dx = 0.2 %3D

A: When you get function of function form to differentiate, we use the chain rule. y = f(g(x)) dy/dx =…

Q: . Let y =sqrtx Find the differential dy

A: To find, y=x To find the differential dy.

Q: Change the order of in tegration 10 10 dy dx

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Q: Find the total differential. z = 10x6y7 dz =

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Q: Find the total differential. z = 10x y10 dz =

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Q: Find the total differential df to the function f(x, y) = x²y – xy? when x decreases from -2 to -2.01…

A: We will find out the required value.

Q: Let y = tan(3x + 4). Find the differential dy when x = 4 and dx = 0.4 Find the differential dy when…

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Q: (a) Find thẻ đéřivătivė. rivative. 1 y = In(x2 – 6) 3 dy dx (b) Find the derivative. 3 = INVX2 – 6…

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Q: Let y=3sqrt(x)Find the change in y, Δy when x=5 and Δx=0.2 Find the differential dy when x=5 and…

A: Given function is Change in y is calculated as follows. when x=5 and Δx=0.2

Q: Find dy/dx using logarithmic differentiation. y = xx − 8,    x > 0

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Q: If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y. TRUE or FALSE ?

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Q: Let y=(x2+4)to the 4th power. Find the differential dy when x=3 and dx=0.3.... Find the…

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Q: Let x > 0 and b > 0. Show that

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