G(x) = 1₂₁² In J2 X 1 In(t) (a) Find G '(x) = dt for x ≥ 2. (b) Is G(x) increasing or decreasing? O increasing O decreasing

Q: Q3: Find f'(5) for f(x) = x³e-x, h= 0.01 using three points formula, compute the error

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Q: Use the following table of values to answer (a) and (b) a)  Let h(x) = f (g(x)) . Find h'(2) .…

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Q: Find g(e, 1) when g(x, y) = ln ⁡ ( x y + y − 1 )

A: Given function

Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: find Zrr and Zss for function Z(r,s)=ln(2r+3s)

A: Given that  find Zrr and Zss for function Z(r,s)=ln(2r+3s)find Zrr and Zss for function…

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Q: Find the absolute extrema of the function on the interval [2, 3]. (Round your answers to the nearest…

A: The function is given by

Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

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Q: Sx2 - 1 x > 1 (1- x, x < 1' 3. Show that the function f (x) = has no derivative at x = 1.

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Q: For the following exercises, assume that f(x) and g(x) are both differentiable functions for all x.…

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Q: (d) Let h(x) g(f(x)). Use the figure below to find h'(1) or state why the derivative does not exist.…

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Q: Let f(x) - x|x|. (a) Sketch the graph of the function. y 2 -2 -2 -2 -2- -2 -2 -4 -4 -4 (b) For what…

A: Objective is to find the function and check the differerentiability.

Q: 1. Let A(x) = | e -tdt. (a) Sketch a graph of e-t and use your graph to illustrate what A(x)…

A: Given:Here A(x)=∫1xe-tdtTo find:a)sketch the graph of e-tb)find the value of A(2)c)find…

Q: nd a in terms of u when : U= Vln(z) +2, u = ln(3 +1), u = arctan(e® +1)

A: Given query is to find x in terms of u.

Q: Let P(x) = F(x)G(x) and Q(x) , where F and G are the functions whose graphs are shown. G(x)' F 4 2 G…

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Q: Which of the following statements is false for functions f(x) and g(x) and constant c? O (c - f(x))…

A: Given query is to find which statment is false.

Q: -2 -1 3 pove function f(x ) = 2 1.2", estimate f'(x) using h = 0.001 for the following three val

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t…

A: Given that Ht be the cost of heating a building in dollars per hour when the outside temperature is…

Q: - 3/7 Find g'(x) for g(x) = x g'(x) =

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