Let y = sin(3x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Ay ~ = 1.2 Find the percentage error error = % OF

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A: The rectangular box has a square base. Let the base side be x Then the base area is x2 The Sum of…

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Q: y = x*lnx %3D %3D

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D…

A: We can find the tangent equation and normal equation as below.

Q: What is the equation of the line normal to f(x) = 5x5 – 2x at x = -1 %3D

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Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Let y = sin(5x). If Ax : = Ay ~ = Find the percentage error error = 0.2 at x = 0, use linear…

A: Linear approximation of y=f(x) at x=x0 is L(x)≈f(x0)+f'(x0)(x-x0)

Q: Approximate the derivative of y=x at x=1 by forming small changes.

A: SOLUTION:-

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: Find the derivative of y = x³. dy/dx = 4x

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Q: Use forward, backward and central difference approximations to estimate the first derivative of:…

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Q: Assume that y is a function of x. Consider the curve defined by ln y=x^2+xe^y. Find the slope of the…

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