x(8x*-30x +5x-80) 14. S(x* – 3x³ + [? -2)dx | 40

Q: Find the solution with the given initial condition. r"(1) = (e', sin (1), cos (t)), r(0) = (1,0, 1),…

A: First we integrate r"(t) twice and then imposing given initial conditions we get our required…

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Q: n: - 4.r? with f'(x) = (x+ 2)2 r(r+8)(r – 2) (x + 2)3 8(7.r – 4) - f(r) = and f"(x) = %3D %3D %3D…

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Q: M=N

A: answer is in next step

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Q: 1. Given: - 4r? with f'(r) = (r+ 2)2" r(r+8)(r – 2) (x+2)3 8(7r-4) (x+2)4 f(r) = and f"(x) = %3D %3D…

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

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Q: Evaluate the integral. [TI/3 2 sin(0) + 2 sin(0) tan2(0) sec2(0) de Step 1 2 sin(0) + 2 sin(0)…

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Q: If a ball is thrown vertically upward with a velocity of 80 ft/s. then its height after t seconds is…

A: We have to use simple derivative of the function to solve the problem

Q: -3/2 dx S(35 + 4x – 4x²)

A: Explained below

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Q: 12. 5 In(3x) dx 5ln (3x) + C 4

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Q: 5. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

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Q: 3. f(x) = (1+x + x² + x*)!5

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Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

Q: Find Duf at P. 2. f(x, y, z) = 4x³y°z²; P(1, –2, 1); u = i+ Duf = i

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Q: Evaluate the integral using Integration by Parts. 8x sin(x) dx (Use symbolic notation and fractions…

A: Please see the answer below.

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Q: Given: a, =4, d=-1 Answer the following questions. Part: 0 / 2 Part 1 of 2 (a) Write the first five…

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Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: average cost per gigabyte of RAM can be approximated by the function C(t)= 8,500,000(0.65)^ t, where…

A: Given query is to find the the average cost of ram for the given time.

Q: Find f. f" (0) = 2e® + 3 sin 0, f(0) = 0, f' (0) = 1 Using O for 0. O f(0)=2e^O -3sin O f(0)=2e^O…

A: Given query is to find the function f(O).

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Q: The integral of the given function csc x dx is equal to 3cos' x-10sinx cos'x-15sin xcOsx 15sin'x…

A: To evaluate the given integral.

Q: Find the sum of the series. 2n n=0 6.

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Q: In the given integral below, what is the values of u and a? * dx V3 – x² – 2x - u = x + 1 and a = 2…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 1 8 - Find an equation of the plane containing the Point P (2,1, -1) and having the normal vutor N :…

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

A: Given query is to find the parametric and symmetric equation.

Q: ES dx = 4x + C

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Q: Solve for x, if ∠1 = (4x+40)   and ∠2 =  (6x-20)

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A: According to our company's guidelines I can only answer first three subparts of the question. For…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. (y - x) dx +…

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Q: For numbers 4-10, answer the following questions for the piecewise defined function f(t). t2 t+6 for…

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Q: Compute the length of the curve r(t) = (21, In(?), r²) over the interval 1 < t < 7. (Use symbolic…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find the location at t = 3 of a particle whose path satisfies dr 14t 4 dt (t + 1)² r(0) = (8,5) (Use…

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Q: 3. Given that 3e¬4rt + 2se" – 4w²rt = 3. aw (a) Find using implicit differentiation. at (b) Find at…

A: “Since you have posted a multiple question, we will solve first question for you. To get remaining…

Q: Sa413 - 3x5/2) dx x4/3, 5)

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Q: Evaluate the integral using Integration by Parts. (Use symbolic notation and fractions where…

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Q: =i-j+ 2k and Find the area of the parallelogram that has u v = 2j + k as adjacent sides. NOTE: Enter…

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