Extra Practice with Inverses of Exponentials and Logs Problem 1- Find the inverse of the following functions. f(x) 7* a. b. f(x) In(x) f(x) 3*+2 - 1 d. f(x) log4(x - 1) +7 С. f. f(x) -log(x + 4) e. f(x) 9 2-4 + 3 11 p. 58

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

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A: The inequality –x2–2x<–3  is graphed. 

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A: Apply log rule.

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A: Sketch the point (5,–12) with terminal side of θ as shown below.

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A: The given function is y = 4cos(3x/4) which is in the form of y = acos(bx).Here, a = 4 and b = 3/4.Co...

Q: limit as x approaches infinity of (e^x + e^-x)/(e^x - e^-x)

A: Consider the given expression of which limit has to be calculated:

Q: 61. Given the fact that a root for the function f(x) = 2 - 3 lies in the interval 1, 1.5, use the Bi...

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Q: Find x1 and x2. х, -3 2 12 18 + - 5 -4 10 22 X1 x2 II

A: First solve the left-hand side.

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A: To determine the interval on which the function is constant for the graph given below:

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A: Rules of Differentiation that are used in the given problem.

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A: From part (b), the definite arc length integral is,

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Q: The trough in the figure below has width w=4, lengthL=20 ft and height h=6. If the trough is full of...

A: The base, height and length are 4ft, 6ft and 20ft, respectively.Then the thickness of the triangle i...

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Q: (4) Prove the formula cosh x - sinh2 x 1 using the methods in this workshop. In other words, express...

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A: It is known that the domain is the set of all values of x for which the function f(x) is defined.Now...

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A: A function which has the same output value for whatever input value given is a constant function. It...

Q: How do you factor completely out of this equation if so what are the steps to do so ? x7/2+2x-5/2+x-...

A: As a first step, take out the least power of x from all the terms. The middle term has the power of ...

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A: To compute C=C(M) as a function of M

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A: To find (if any) the intervals over which the given function is strictly decreasing

Q: Find the asympototes of f(x)= x4-2/x3+1

A:  f(x)= x4-2/x3+1 We can find the vertical asymptotes by finding the values that make the function un...

Q: Find the derivative of the function. f(x) =  7x (x3 − 4)2 f '(x) =

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A: To determine, how much amount should be invested.

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A: Since f(x) is one-to-one, therefore inverse of f exist.

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A: The given inequality is – x2 – 4x < 3.Solve and graph the solution of the inequality as follows.

Q: Problem 1 Parts B, C, and D

A: a.Use the online graphing calculator to draw the graph of the functions as shown below in Figure 1.

Q: result by induction. 88. Prove that d2n d2n (cos x) (1)" sin x dr2n (sin x)= and (-1)" cos x. dr2n

A: a) By induction method, prove for n =1.

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Q: The graph of a function f is given. Use the graph to estimate the following. y X 2 (a) All the local...

A: From the given graph it is observed that, the function is continuous and defined in the interval (–∞...

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A: To sketch the graph of the function and determine its range and domain.

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A: For a Rational function R(x) = p(x) / q(x) ,lowest form, domain is given as set of all values of x i...

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Q: Find the linearization L(x) of the function at a. f(x) = rad(x),    a = 25

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A: To determine the vertical and horizontal asymptotes of the function and sketch their graph.

Q: f(t) = 2t2+9t-10 Find f'(t), f'(1), and f'(2)

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Q: Can you help me on 13? It’s integration by parts

A: To evaluate the integration by part of the function

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A: Given,