Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

Q: Find the centroid of the region bounded by y = Vx, y = 0, and x = 9. This region is covered by a…

A: We have to find the coordinates of the centroid.

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = 6(x³ - x) g(x) = 0 y 10 f 4 -2 -2…

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Q: Consider the following equations. f(y) = y(7 – y) g(y) = -y Sketch and shade the region bounded by…

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Q: Find E( +1)? O 367 418 O 423

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Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

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Q: Find the Taylor polynomial of order 3 generated by x at a f(x) 1 a = 0 x+6*

A: Solve the following

Q: 2. Let f (x) = 3 cos(2x) – 1. (a) Find the period and the amplitude. (b) Sketch the graph of the…

A: Use function

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: Se2x sec?e2x Vtan e2x + 2 dx

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Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: Use a graph to determine whether the given function is continuous on its domain. [3 – x if x 3…

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Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: 4. Find the exact value without the use of a calculator. Show all steps. (a) cos(45') cos(15') –…

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Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

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Q: Prove i = [- 2,5, 1], = [2,1, – 1] and w = [-6,0, – 12] are orthogonal. %3D %3D %3D

A: SEE ATTACHMENTS

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

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Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce¯+c,e¯2x+x-3 O b.…

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Q: 2. Let R(t) = } sin 4t î – bcos“(21) j + 2t k. E

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Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A: We know that on unit circle , x co-ordinate is cosθ and y is a sinθ. Therefore cosθ=-35sinθ=45we…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Which is the power series representation (a) n! n=0 (b) -1)". (2n)! n=0 2n+1 (c) X-1)* (2n + 1)! n=0…

A: We have t

Q: Evaluate the definite integral (12a² – 6x + 6)dx 3.

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Q: A firm estimates that it will sell N advertising, where dollars. Use the derivative to find the…

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Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 2 4 5 -2 -3 -4 -5 Clear All Draw: a.…

A: Given problem:-

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this:

Q: Find g'cx) gon= XX dx

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Q: t*dt then If f(x) = 3 f'(x) =

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Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: Зх + 108 dx х2 + 2х — 48

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Q: What is the slope of the tangent to the curve y=arctan 4x at x= 1/4 A. -2 B. 0 C. 1/2 D. 2…

A: To find the slope of tangent to the given curve.

Q: Find the radius of convergence, R, of the series. 00 (x - 9)" "ח n= 1 R = Find the interval, I, of…

A: Use power series concept

Q: 2. 4. 6. . (2n) n! n = 1 Identify a, 2n! n! 2.4 6 (2n) n! (2n)! n! (2n)! 2 4· 6 • . . · . (2n)…

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Q: The graph of y= f (x) is drawn below, sketch a graph of y = f(x).

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Q: Given the Demand Function D(p)= 275-4p^2 Find the Elasticity of Demand at a price of $5

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Q: Question 1: Using appropriate substitution tan'x xp: sec5x

A: LetI=∫tan3xsec5xdxI=∫sin3xcos3(x)1cos5xdxI=∫sin3xcos3(x)×cos5xdxI=∫sin3xcos2xdxI=∫sin2xsinxcos2xdxI=…

Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

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Q: Let f(x) tan-(cos(32)) f'(x) =

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Q: Evaluate the definite integral 6 sin(x)dx

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Q: y=f(x) A1 АЗ 3 5 7 А4 A2 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: Area above x-axis is taken as positive and area below the x-axis is taken as negative.

Q: g(x) If f(x) then h(x)'

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Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: Finding the Area Bounded by Two Graphs Sketch the region bounded by the graphs of the functions. See…

A: This is a problem related to area of the intersected region by given curves. Based on the general…

Q: Consider the following series. 8 + e-n n = 1 What does the Test for Divergence reveal about this…

A: We know the necessary condition for the convergence of a series. A series ∑nan   is convergent…