Use Definition 0.10 to show that each pair of functions in Exercises 67–70 are inverses of each other. 1 2 67. f(x) =2 – 3x and g(x) = -x+ 3 68. f(x) = x² restricted to [0, 0) and g(x) = V 69. f(x) = and g(x) = 1+x 1-x 1 1 70. f(x) = and g(x) 2x 2x

Q: Assignment No. 1 Q/ Solve the following inequality. Write your answer as an interval or union of int...

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A: We will find the respective functional values by putting X equal to that value.

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Q: Number 5. Please write the equation In terms of x.

A: Let two positive numbers be x and y  x+y=110

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A: To write the level surface in terms of f(x,y).

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A: According to the problem, we have

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Q: Use the Direct Comparison Test to solve 194

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. in 9 an = ...

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Q: Write an equation for a line perpendicular to y=−5x−3y=-5x-3 and passing through the point (-5,0).y ...

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Q: Q2: Reverse the order of integration Sz dxdy, then evaluate.

A: we need to evaluate the integral of ∫01∫y2ydxdy by reversing the order.

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A: the critical numbers are x=2,-4

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Q: Select all of the following graphs which are one-to-one functions. 4 -5 -4 -3 -2 -1 -2 -4- |5+ -5 -4...

A: We have to match the function

Q: Number 5

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A: We will use long division to answer this question

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A: Given  y=x3To determine :Whether the given equation defines y as a function of x.

Q: Q/ Solve the following inequality. Write your answer as an interval or union of intervals. Show the ...

A: Take the 2 cases and solve for x than take the intersection of them.

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A: given function : f(x) = 6 − 7x as the highest power of function is 1 the given function is linear. 

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Q: Please solve 6 and 7 sub-parts

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A: According to the problem, we have

Q: 2. Solve the following inequalities: (a) {x: x- 3x S 5x -9x} (b) {x: 6x-x > 0} (d) {x:-20} x' +1 2x ...

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Q: Q8:- Find the limit of the following functions:- x² – 2xy + y² ху — у - 2х + 2 (1) Lim (х,у) ->(0,0)...

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A: First find the general solution of the given equation than find the values in given interval.

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Q: Use the Direct Comparison Test to evaluate 198

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Q: In Problems 67–74, complete the square of each quadratic expression. Then graph each function using ...

A: Since you have posted multiple sub questions. We will solve first three parts for you. If you want a...