Please solve each question in the space provided. You should give the details of your solutions and not just the final answer. Q-1: [4+4+4 marks] x²-x a. If f(x)=3x-3 and g(x) = x² - x i) Find (go f)(x) and write the domain of (go f)(x). ii) Find the intersection points between f(x) and g(x). b. Find the zeros for the function : f(x)=4x³- 6x2+2x

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Q: Find the limit of the sequence: 3n² + 3n+6 ап 7n² + 7n +9

A: Step 1: The limit of a sequence is the value that the terms of the sequence approach as the index n…

Q: Suppose we have the following scenario: Multiplier: 1.6 Tax Rate: 20% Increase in spending: $200…

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Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

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Q: find the derivative of f(x) = x2- 3/x, x isn't = 0

A: The objective of this question is to find the derivative of the function f(x) = x^2 - 3/x. The…

Q: Find the general solution of y' = 5 (y — 17). y(t) = c. e5t +17 c·e+17 A Note: Use C for the…

A: Solution

Q: Find the absolute minimum value on [0, ∞) for f(x) = (x + 12)(x-6)².

A: The objective of this question is to find the absolute minimum value of the function f(x) = (x +…

Q: The table lists the amount of emissions of a certain pollutant in millions of tons. Year 1980 1985…

A: Step 1:Step 2:Step 3:

Q: Practice Find each measurement indicated show work. Round your answers to the nearest tenth

A: We will use the cosine law here. The formula uses two sides of the triangle and the angle between…

Q: Evaluate the iterated integral by converting to polar coordinates. 2 √4-x2 e-x² - y² dy dx

A: Thank you,Please rate my response.

Q: Which of the following functions has the smallest average value on the given interval? Select one:…

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Q: Leah needs to find the exact coordinates of the centroid. She is struggling. Please help her by…

A: 1: Sketching the Region:We'll sketch the region bounded by y=x,y​=0 and  x=4 in the xy-plane.The…

Q: 3a Solve the following volume problems using double or triple integrals (where indicated):

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Q: Practice Find each measurement indicated. Round your answers to the nearest tenth.

A: Step 1:Indicated to find m∆A Angle A = 66.1°   Step 2: Step 3: Step 4:

Q: 3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is…

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Q: dy d²y Find and dx dy dx d²y dx2 slope = concavity and find the slope and concavity (if possible) at…

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Q: Practice

A: Step 1:We need to write down the given vector in the form ai+bj1) <-8, 4>Compare this with…

Q: Which of the following is the equation x² + y² = 4 in spherical coordinates? Or² = 4 Op² = 4 Op²…

A: Step 1:    Step 2: Step 3: Step 4:

Q: Determine the open t-intervals on which the curve is concave downward or concave upward. (Enter your…

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Q: Consider the series Σn-1 an where an (2n+8) 2n (-5n-3)n In this problem you must attempt to use the…

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Q: This is the criteria:  Your functionMaximum/minimum…

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Q: Question 6 Evaluate the following Integrals. (a) |√1-de dr 422 (b) 25 √1+x² dx (c) s sin (1/x) -da…

A: Step 1: Step 2: Step 3: Step 4:

Q: Sketch the triangle with vertices at the orgin O, P=(5,4,0), and Q=(2,1,4), and compute its area…

A: Given:                      Origin O: (0,0,0)                     Point P: (5,4,0)…

Q: Solve the following for x:

A: 1)To solve the equation ((1/5)x+1=125x), we can rewrite (125) as (53) since (125=53). Then the…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: If f(x) = (x+4)sin(√x+4), what is the average off on the closed interval [0, 5]? Round to 3 decimal…

A: Approach to solving the question: Detailed explanation:Key references:

Q: 12 3. F(s) = = 53 +8 + sin 2t - 1). Suggestion: After finding the three cube roots -2 and 1±√√√3i of…

A: The given Laplace function is: F(s)=s3+812​ F(s)=(s+2)(s2−2s+4)12​ Now using partial fraction…

Q: Please please be thorough. Double check your work and the questions!! Please complete the first…

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Q: Use the limit process to find the area of the region between the graph of the function and the x-…

A: Step 1:​Region is bounded by y=−4x+5,[0,1] Area =∫01​(−4x+5)dx​Step 2:​Using Riemann…

Q: (9 and 10) Explain how to solve these question in detailed steps.

A: Thanks for your patience!.Kindly comment if you need any clarifications.

Q: A Publically traded company has issued $50M worth of stocks. The stock holders expect a rate of…

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Q: evaluate the series is convergent or divergent: (n^2 - 3n)/(n^10 - 4n^2)^ 1/3

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Q: Find the inverse transformative of {s/(s^4+ 4s ^2)} without using parcial fractions

A: Given the Laplace transform:21​cosh(2t)u2−4u−2​​⋅2u−2​1​du=21​⋅u2−4du​F(s)=s4+4s2s​First, complete…

Q: To test this series for convergence ∞ 2n +4 4n n=1 You could use the Limit Comparison Test,…

A: Step 1: Step 2: Step 3: Step 4:

Q: What integral can be approximated with the following: (-3+ 5113157 i=1 (5x)dx √2(5x)³ dx 021x3dx JO…

A: Step 1:​i=1∑n​[41​(−3+n5i​)3]n5​​Step 2:​Using Riemann…

Q: Evaluate the line integral f(x2+2y2)ds for C: the line segment from (1,2) to (4,6)

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Q: A particle moves along a line for time 20 such that its velocity is v(t) = 10e cost. What is the…

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Q: Find the limit of the sequence. Hint: Remember that cos n always satisfies -1 ≤ cos n ≤ 1. an = (cos…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: For a company that manufactures tennis rackets, the average cost per racket is found to be C: where…

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Q: - ⑪The two lines with equations 7 = (1, 2, −4) + (k + 1, 3k + 1, k − 3), te R, and a = 2 - 3s, y = 1…

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Q: Direction: Implicit Differentiation

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Q: A cup of coffee, cooling off in a room at temperature 23°C, has cooling constant k = 0.083 min ¹.…

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Q: 1. Digicel's profit function for the sale of S21 is as follows: л(q) = −2q² + 350q-150 The selling…

A: a:Given information:Profit function: π(q) = -2q^2 + 350q - 150Price function: p = 600 - 2qStep 1:…

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Step 1: Given data  ∫e39−37tdt Note :  ∫exdx=ex+C Step 2: Calculation  ∫e39−37tdt−−−−−−−−−−−−−−−(1)…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1: Step 2: NOTE : FIRST PAGE IS THE INTEGRAL B AND SECOND PAGE INTEGRAL A Step 3: Step 4:

Q: Test each of the following series for convergence by either the Comparison Test or the Limit…

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Q: Reorganization The Verbrugge Publishing Company's 2019 balance sheet and income statement are as…

A: However, I can guide you through the thought process to solve this problem.Here's how to approach…

Q: 2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution…

A: Please see the attached images for the solution.If there are queries, please do not hesitate to ask.…