Proor: Let † and g be one-to-one functions. a) Prove that (a) fog is one-to-one b) Prove that (b) (ƒ o g)¯¹ (x) = (g¯¹ o f¯¹) (x)

Q: Find y′′ y = -3x4(4x+6)2

A: Recall: Power rule; dxndx=nxn-1 Given, y = -3x4(4x+6)2

Q: Problem 3. Match the functions with their graphs. 1. f(x) = cos(x) 2. f(x) = sin(x) 3. f(x) =tan(x)…

A: To match the given functions with the given graphs.

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Q: 2. If x=1.0 and y=2.5 are round up numbers, find the maximum absolute error (A.E) involved in…

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Q: Which linear equation is shown below? y = x/5 +2 y = 4x + 3 y = 5x + 2 y = 5x - 2 y = 5x + 4

A: To find out the correct linear equation which is shown in the graph below.

Q: below

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A: I have stated the used formula in the solution.

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A: According to bartleby guidelines when student post multiple subpart question then expert must have…

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Slope

A: We know that, A function, in mathematics, an expression, rule, or law that defines a relationship…

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Q: Given f''(x) = ¹ƒ(7) Find f [ 16 sin(4x) and f'(0) = 0 and f(0) = 1.

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Q: Using the Factor Theorem, which polynomial function has the zeros 5 and 4-5/? Ox²-9x-5x + 25/+20…

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Q: Calculate the double integral √ √(8x + 2y + 16) dA where R is the region: 0 ≤ x ≤ 1,0 ≤ y ≤ 4.

A: The objective is to evaluate the double integral.

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Q: Find parametric equations that define the curve starting at (6.0) and ending at (7.9) as shown. Let…

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Q: Consider the graph y = f(x) below. -4 -3 -2 3 2 tion 8 6 2 3 T Find all value(s) of a such that lim…

A: The objective of the question is determine the points in which limits doesn't exist and not…

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Q: 2ucot 2x

A: Please see the below picture for detailed solution.

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A: To find out the location means the points where the trolley meet the train.

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Q: Show the connection between the slope of a tangent of a function at a given point and its derivative…

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Q: Find the equation of the tangent plane to z = ln(x³ + 1) + y³ at the point (0,6,216).

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Q: Consider the following function. f(x)=√x-4, What is the domain of f? (Enter your answer using…

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Q: the

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Q: the graph below has the equation Ax + By = C, which statement MUST be true? A > 0 C = 0 B 0

A: From the given graph we can notice that the line passes through origin.

Q: 1 4. fv³ (a²-v²) dv

A: Given problem:- ∫v3a2-v212dv

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Q: (d) Find the time required for the coin to reach the ground level. (Round your answer to three…

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Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

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Q: Thank you for your help! Also, what was the 3rd digit for the 4.04?

A: I think you need all answers having three decimal places. So,i am uploading all the answers with…

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: The graph will be  Option (B)

Q: What is the 8th partial sum of 10,000-2,000+400-80+7 Round your answer to the thousandths place.…

A: The given sequence is: 10000-2000+400-80+... To find the 8th partial sum.

Q: For the curve: f(x)=√x-5 the equation of the tangent line when x=9 is Oy--(x+1) Oy--1(x-1) y= Oy- (x…

A: This question can be solved using the concept of tangent and normal.

Q: Use the Principle of Mathematical Induction to show that the given statement is true for all natural…

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Q: What type of graph is this? A parabola An absolute value graph A hyperbola A linear graph

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Q: 4. If = tanx, show that the relation y' = 1 + tan²x.

A: Let's solve.

Q: e) lim (1+sec 3x)cot 3x 7 2 X-

A: The objective is to find the limit.

Q: approach 2/3). Thus there is a horizontal asymptote at y= Case III. Degree of the numerator is…

A: According to company rules, I need to solve first question when multiple questions are posted.  So…