Suppose that L = 27, a2 = 1, and the initial temperature distribution is f(x) = 27 - x for 0

Q: For each of the given functions f(z), find the derivative (f)'(c) at the given point c, first…

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Q: 5. Find the derivative of the function. f(x) = x°/1- 8x x(16-136x) 2/1-Sr x'(16+136x) f (x)3D 2/1-8x…

A: The function is given by,

Q: What is the approximate value of the first derivative of S(x)=-01x-0.15x-0. 5x-0.25x +1. 2 at x-0.75…

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Q: Estimate g(1.2) − g(1) if g'(1) = 4.

A: Given: g'(1)=4 Now, Using the Linear approximation formula:

Q: 5. Let X have the pdf f(x) = 5x¹, 0 < x < 1, zero elsewhere. Find the pdf of Y = - 2ln(X).

A: The random variable X has the pdf given below: fx=5x4,   0&lt;x&lt;1 The transformed variable is…

Q: Consider the function h(z), for which h(4) = -12 and h'(4) = -7. %3D h(z) Find f'(4) for the…

A: To Determine: find f'4 Given: consider the function h(x) for which h4=-12 and h'4=-7 also…

Q: Find the x value(s) for any relative extrema. Use the Second Derivative Test to determine if this is…

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Q: Let f(1) = 2 and "(1) = 3. Suppose g(a) = f(a)]. Calculate g(1). %3D

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Q: Find the first derivative f(t)-4cos (t)-10tan(t) -1

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Q: Consider the function f(x)=1/x  on the interval [1,8]. Find the average or mean slope of the…

A: Given query is to apply mean value theorem and find value of c.

Q: The first derivative of a continuous function y = f(x) is y' = (12x-10x²) (3 - x)². Find y'' and…

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Q: Given f(x) = 1 divided by x+12, find the average rate of change of f (x) on the interval [8, 8 + h].…

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