Suppose that the graph of the velocity function of a particle is as shown in the figure, where t is measured in seconds. ya ► x -1 0 1 ▸ Sketch a graph of the acceleration function.

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A: Given:  r(t)=<5cot(t), 3 sin(t), 4 sin(t)>To find:  Arc length form t=0 to t=2π

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A: The given function y=2x4-3x3+x2+6

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Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN dx ?

A: We are asked to find the δNδx

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Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 8,…

A: Given g(x) is the inverse function of f(x)

Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

A: Note:- according to the company policy we can do only 3 subparts of a question so please upload the…

Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

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Q: Determine if the function is continuous at the given number c. If it is discontinuous at c, state…

A: f(x) = 6-x , c= 5 f(x) = (x2 + 2x)/(x2 + 5x+6) , c= 0 here for check contineuty  satisfy this…

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: To find the value of f(1) in the given integral.

Q: Let z=f(x,y) = 20x² - 25xy + 16y². Find the following using the formal definition of the partial…

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A: In this question we have to find the (1, 2) entry of x.

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Q: Question 2. Evaluate the following integral 1. 1., integration (shade the region). Show all your…

A: Given problem:-

Q: (16,5) 5 10 15 (4,0) (16,0) (a) Find the length of each side of the right triangle. Distance between…

A: The triangle has vertices 4,0, 16,0, 16,5

Q: Given cost and price (demand) functions C(q) = 110q+44,000 and p(q) = -1.8q +850, what is the…

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Q: Calculate the double integral. JS y dA, 4xye+²y R R= [0, 1] × [0, 8]

A: Given; ∫∫R4xyex2ydA, R=0,1×0,8   As we know the common integral. ∫eax+bdx=1aeax+b+C  And ∬dA=∬dxdy…

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A: As you mentioned question no. 3 solved

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

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Q: For the function f(x,y)= x + 4y 3 4 x +y find f, fy, f(5,-5), and f,(1,3).

A: For the function fx, y=x2+4y3x3+y4, to find fx, fy, fx5, -5, and fy1, 3.

Q: Suppose that f(x) is a function with f(85) = 49 and f'(85)= 3. Estimate f(80). f(80) =

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Q: f (x) Sketch the graph of a single function that satisfies all of the following conditions. Use the…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using horizontal…

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Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1

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Q: -15 Evaluate the integral: -dz x²√²+64 (A) Which trig substitution is correct for this integral? 0x…

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Q: 6. - Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral that will give the volume.

Q: .. Solve the following differential equation using the indicated method. (a) y"+y' - 2y = x² + 2 sin…

A: Solution is here