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Q: If the substitution u = √x + 1 is made, the integral 3 A S u² u² - 1 du B du 3 2u²2 u² - 1 √ √x+1 dx…

A: We solve the given problem by using the substitution method.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: The objective of this question is to determine whether the given sequence converges or diverges as n…

Q: S₁²+ x² + 12x +35 Select one: O a. Inx+5 +1n|x +7 |+C O b. In|x+51 In x+7| (In)x+ 5 )(lnx + 7) + C…

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Q: The brakes on a bicycle are applied using a downward force of F= 28 pounds on the pedal when the…

A: The brakes of bicycles are applying a downward force as = - 28k.The pedal cracks and make the angle…

Q: a) Use the Quotient Rule to find the derivative of the given function. b) Find the derivative by…

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Q: x = log (5) - log(10)

A: To solve the single unknown.

Q: What is the area of the region in the first quadrant between the x-axis, the graph y = O O Select…

A: The function of the graph is The shaded region starts from  and goes to infinite distance.

Q: 4. Find the limit : (a) lim x →∞ (b) lim X→3 2 4 2 3x² + 7x²-8x + 10 3 12x³-4x² - 4 X-9x + 18 x-3

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Q: Q2) Evaluate the following integrals: a. f√x5 dx b. f(3+1/2+ sin x) dx

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Q: Use the graph of f (x) = 1/1/0 below to find a number & such that f (x) - 0.25| < 0.1 whenever 0 <…

A: By using the graph of  below to find a number  such that .

Q: Can you please help find an equation that describe the points P = (x,y) which are equidistant from Q…

A: Points P = (x,y) which are equidistant from Q = (2,3) and R = (5,–1)

Q: ind the partial derivatives indicated. Assume the variables are restricted to a domain on which the…

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Q: if f(1) = 10 and f'(x) = 2 for 1≤ x ≤4, how small can f (4) possibly be?

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Q: Help evaluate each limit please

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Q: Directions: Find and classify the critical points of the following function. If there are more…

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Q: Find the radius of convergence, R, of the series. n=3 Find the interval, I, of convergence of the…

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Q: Directions: Solve the initial value problem. Solution: y 9- 1+t 1(1+t) y = 9 - y 1+ t 2 and y(0) = 9

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Q: We create a solid of revolution by revolving R about the line y = 12. Set up an expression with…

A: Given that the region R bounded  by the lines

Q: The graph of f (x) is shown below. Find: f(x)dx 1 1 -1. G www ... 13 10 ........ f(2 40

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Q: 2 y = f(x) 3 4 5

A: The given graph of function f(x)

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Q: Determine the linear and use it to approximation of the function f(x) = √x +1 at a=0 approximate the…

A: The given function is The linear approximation at

Q: solve d and e.. do working out with pen

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

A: Given: The graph of the velocity function  for  is shown below.To Find: To determine all intervals…

Q: Determine the end behavior of the following monomial functions. (That is, does the function output…

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Q: Let R be the rectangle consisting of all points (x, y) such that: 0≤x≤2 and 1. Calculate SS₁ e dx dy…

A: Application of integration  and find the volume.

Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = 2t³ – 6t² –…

A: The position of the particle is given byFormula used: The veocity of the particle can be determined…

Q: please provide detail working out for b and c ,looks like you have hust gave the answers

A: Differential Equation

Q: (BC Topic) Which of the following integrals diverge? Select one: O a. O b. O c. O d. 5,0 = = = = 1…

A: The given integrals

Q: Directions: Calculate the following indefinite integral (make sure you include +C as part of your…

A: we need to find out the integration.

Q: Consider the following. br (a) Set up an integral for the volume a solid torus (the donut-shaped…

A: a=2;b=8

Q: Determine the distance between the point (2, 1, 3) and the plane x+y+z+1=0. 3.12 units 3.46 units…

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Q: Directions: Approximate the following definite integral using the Midpoint Rule, Trapezoidal Rule,…

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Q: For the points P₁ (2,2,3) and P₂(1,1,4), find the direction of P₁ P2 and the midpoint of line…

A: (.) Given points are,     We have to find direction of .

Q: Directions: Calculate the following definite integral. Use the substitution rule or integration by…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) |x - 8| lim 18+ x - 8 Enter…

A: we need to find out the limit.

Q: The total cost, in dollars, to produce q items is given by the function C(q) = 30,000+ 15.20g…

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Q: Q5) Choose your technique(s) to evaluate the following integrals. a. jx³√²³² +4dx b. Je dx

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Q: Task 1 The variation of resistance R ohms, of an aluminium conductor with temperature 0° C is dR…

A: The variation of resistance R ohms, of aluminium conductor with temperature  is given by

Q: A particle moves along the x-axis so that at time t≥ 0 its velocity is given by v(t) = 3t² – 12t –…

A: Given that the partical whose velocity is  to find the value of t when partical is at rest

Q: Find the horizontal and vertical asymptotes of f(x). f(x) = 6 X 2 x + 2 Find the horizontal…

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Q: Use the angle in the unit circle to find the exact value of each of the six trigonometric functions.…

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Q: (b) ∞ 2 X 2 2 (8x² - 12x) dx -∞

A: given integration

Q: (Technology NOT permitted). Let g be a function such that g'(x) = (x−1)−². S²³ g'(x) dx converges or…

A: The given function is

Q: A particle moves along the x-axis so that at time t≥ 0 its velocity is given by v(t) = 9t² − 54t +…

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Q: -erations. Show your work. 2. - 2X-7 f(x) = x²2 + 4x- 1 g(x) = x²-3x+7 Find: (f + g)(x) f(x) +9(x) =…

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Q: :Sketch the graph of a function that satisfies all of the given conditions. Explain. f'(0) = f'(2) =…

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Q: Determine whether the statement is true or false. 1 1 4 -2 X dx = 3 8

A: Let assume,

Q: Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing…

A: The given polynomial functions

Q: Find the expected value and variance for the random variable whose probability density function on…

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