22-12x x²(3x² - 10x-8) To solve - for this integral? a dx partial fraction is to be employed. What is the most appropriate form of C

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A: Find the derivative at the given point and write the equation of tangent line using slope point…

Q: Consider the function f(x) = x|x|. a.) On the interval (-∞o, 0), f"(x) = 0 b.) On the interval (0,…

A: topic - derivative of a function

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

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Q: Question 5 > The plot below represents the function f(x): 3 3-4-32 1 2 3 4 Evaluate f(-3): f(-3) -…

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Q: 1. Use the graph of y = f(x) given below to find the answer to each of the following. You do not…

A: By using the graph of y=fx given below to lisy all the intervals on which f is increasing.

Q: ["u pus C=P Op2-13 an=19 +

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Q: Given sin(a)= and a is in quadrant II and sin(3) = and B is in quadrant II. Use sum and difference…

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Q: Determine the equation of the tangent line to the function f(x) = x square root (5-x^2) at x = 1

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Q: √xdx (1+x)³

A: Follow the procedure given below.

Q: Calculate the derivative. f(x) = (6ex - 7x²) (x³ + 1) (Use symbolic notation and fractions where…

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Q: Fourier Series Exercise 1. Consider the following periodic function f(t) of period of 27 over the…

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Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

A:

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: 1 0 0 1 -1 1 -1 1 1 1 0 a) Find A-¹. b) Write the corresponding elementary matrix for each row…

A: We will solve the given question using the inverse matrix method To find the inverse of matrix A…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ||ti + 1²3|| dt =

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Question 2 Select all of the following tables which represent y as a function of z. I y Iy I y I y…

A: Given query is to find which table is a function.

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t)= -0.009t² +0.8t where…

A: Given

Q: 1. S-10 sin 5x dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the radius of convergence, R, of the series. Σ (x - 7)" 07 n=1 R = Find the interval, I, of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Show that if x is an integer, then gcd (x+1, x^2 -x +1) divides 3. Use this result to find knowing…

A: Solving

Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: Write the equation of a sine or cosine function to describe the graph. 3- 3 1 π - 4 4 -2 -3 r k | 2

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Q: Use the second derivative test to find the location of all local extrema in the interval G for the…

A: Given f(x)= -2ex/(-4x-1)= 2ex/(4x+1) So, f'(x)= [2ex(4x+1)-8ex]/(4x+1)2 To get local extrema we put…

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2<x≤41.5x-6if x>4

Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

Q: A lighthouse is on an island 500 meters off shore. The lighthouse beam makes a full turn every 7…

A:

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions: a = 30,…

A: I am attaching image so that you understand each and every step.

Q: Find a set of equations to represent the graph of the rectangular equation using t=x and t=2-x. y=…

A: The given rectangular equation,y=4x-2

Q: -0.4t The rate, r, at which people get sick during an epidemic of the flu can be approximated by r…

A: Solved below.

Q: b) fex-c - cos x + 1dx

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Q: Use any method to find the Area of domain bounded by curve parametrized by X = cos³t₁ Y = sin³t, 0≤…

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Q: H-w.4 Find the volumes for the following solids whose Weights are defined by Z(x,y) and bases are…

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Q: x²-3x - 7 2 (x² + x + 2)(2x - 1) dx

A: Simplifying the given integrand: x2-3x-7(x2+x+2)(2x-1)=x2-3x-72(x2+x+2)x-12

Q: A 10-foot ladder leans against the side of a building. If the top of the ladder begins to slide down…

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Q: Slove.. -x e lux by BiSection

A: Answer is in below steps.

Q: The function f is defined as follows. 2x if -2<x<0 f(x) = x³ if x20 (a) Find the domain of the…

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Q: Find the exact value of the trigonometric function of using the given format: 5T Let 8 = then is in…

A: I am attaching image so that you understand each and every step.

Q: Given the function of f(x) = 8x² - 8x on the interval [0, 1], find a point c between 0 and 1 so that…

A: Answer is in step 2.

Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: 2. Solve the following using the inverse matrix method: 6x - y = 0 2x - 4y = 1

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Q: and a is in quadrant III and cos(3) = Given sin(a) = following: Note: You are not allowed to use…

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Q: y 8 6 4 2 y = 3x+1 2 J C 4 y = 8 - x 8 CO X

A: Given query is to find the area under the curve.

Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: f(x) = 8x + 2x−¹

A: answer is in next step