10. √x(x² + 3x-8)dx A. -4 B. -404 105 D. -28 105

Q: Given r''(t)=4e2ti-9cos(3t)j+4k, r'(0)=2i+4k, and r(0)=i+j+5k, find the formula for r(t)

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A: Given :fx=1x

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A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

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Q: Integration by Parts; For the following integral, which part would be assigned the u and the dv? S…

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Q: Find r'(t), r(t0), and r'(t0) for the given value of t0. r(t) = (1 + t)i + t3j,    t0 = 1 r'(t0)  =

A: Given the curve r(t)=1+t i+t3 j, t0=1

Q: 16. Find the quadratic function such that f(4) = - 26, f‘(4) = -19 and f“(4) = -6.

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Q: Evaluate [P r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ F. dr where F = (4z, - 3y, 2x), and C is given by

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Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

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Q: onds and S(1) is the distance in feet from the top of the building. What was the average speed of…

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Q: 3 여 x 3

A: Given: 121-111231X=0-21

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A: Here we will find whether given vectors are orthogonal or not,

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Q: Find all solutions of the equation in the interval [0, 21). cos²x = 1+ sinx Write your answer in…

A: Topic = Trigonometry

Q: Solve the given IVP using Laplace Transforms. Solve for x(s) and STOP! (Express x(s) as a single…

A: Given IVP is x'' + 9x = cos3t,  x0=0,  x'0=2

Q: Determine whether​ Rolle's Theorem applies to the following function on the given interval. If so,…

A: Rolle's theorem states that if a function f(x) is continuous on the closed interval [a, b] and…

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Q: 11. inverse Laplace transform of (a) F(s) = (b) F(s) = (c) F(s) = (d) F(s) = 3 8² +4 4 (8 - 1)³ 2s +…

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Q: Evaluate the integral. Select the correct answer. 432 3 216 3 In 36- 432 3 In 36- none of these 432…

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Q: 39. An open top rectangular box with a square bottom has a volume of 120 cubic meters. Its bottom…

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Q: 17. Assume that f'(x) = (x - 1)(x - 2)²(x-3)³. (a) Find the interval(s) on which is increasing. (b)…

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Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral 8 x-6 So ²x+8 dx

A: Use fundamental theorem of calculus to evaluate the integral.

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A: We have to solve above question of vector and 3D.

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A: I appended the formula used in the solution part of the question

Q: Define a polynomial function with all of the following properties. Roots: x=7, x=-8, x=0. It bounces…

A: Given problem:- Define a polynomial function with all of the following properties. Roots: x=7, x=-8,…

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Q: No calculators. Using the Shell method only, find the exact volume created by rotating the region…

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Q: Step 3 Rewrite the integration in terms of u and v. 110 Step 4 (cos w)ew dw = (cos w)ew - Again…

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Q: Work Problem 2 [ 31 (a)[3 Find a vector equation and parametric equations for the line that passes…

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: To find out the interval in which the function is increasing or positive.

Q: Question: The two equal sides of an isosceles triangle measure 95 centimeters and the angles that…

A: The two equal sides of the isosceles triangle are, a=b=95 centimeters The angle that subtend them…

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Q: If we use the secant method to find the root of the function 0 = sin x, then one of the following…

A: This is a solving of roots by secant method problem

Q: 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

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Q: In a triangle ABC, a = 10, b = 12 and C= 40°, find c. - (Use cos 40° = 0.766) (Round the answers to…

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Q: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

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Q: (b) Estimate the maximum allowable percent error in measuring the circumference if the error in…

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Q: es (x²+bx+c)² dx

A: As per Bartleby guideline, only the first question has been answered in case of multiple questions.…

Q: How much must be deposited today into the following account in order to have $65,000 in 5 years for…

A: Given :Future value =F=$65000Present value =P=?Rate = r=6%=0.06Time=t=5 years

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A: Given that Say a candidate is running for mayor of a city. During the incumbent mayor's first year…

Q: Find the indefinite integral. x + 7 x² + 14x5 Step 1 To find the indefinite integral dx J 1 x + 7 x²…

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Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: A department of roads and highways is doing a drive, a driver's rest area on the side of a highway.…

A: Ans=200 m  For detail...go through the solution...I have done solution in detail