Find the length of the curve correct to four decimal places. (Use a calculator r(t)= (cos(nt), 2t, sin(2t)), from (1, 0, 0) to (1, 8, 0)

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Q: Find lim f(x), if f(x) = {*5* x²-x X-3 if x = 3 if x = 3

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A: The graph of the function g(x) is

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A: The solution is shown in step-2

Q: Find the indicated derivative or integral: d dx Answer: a. b. d C. (3²x+1) (5 ln (x² + 3x + 7)) dx…

A: As per the guidelines I am supposed to solve three subparts. Please repost other parts…

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Q: Find the area of the region bounded by the graphs of y = 1 + 3x, y = 8, x = 2 and x 3.

A: To find the area of the region bounded by the graphs of  and Note: Since the student has posted…

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Q: II F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F…

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Q: Using the graph of g(z) below, answer the following questions: AV

A: The solution is shown in step-2

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Q: Two spacecraft are following paths in space given by r₁ = (sin(t), t, 1²) and r2 = (cos(t), 1-t,…

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Q: √144-x² Choose the correct region of integration S-12 So (x² + y²) dy dx. Assume that in each…

A: The given integral is:

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A: We have to dind the integrals for the center of mass of a thin plate covering the region bounded…

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Q: find the domain of the vector function r(t)=⟨√(t^2-1,log⁡〖(t^2-3t+2),1/√(-t)〗 )⟩

A: The solution is shown in step-2

Q: Find the radius of convergence, R, of the series. R = 4 n = 1 747 Find the interval, I, of…

A: The series is

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Q: For the integral be rewritten as av 1² 20x³ sin (5x + 6) dx, we can choose an appropriate function u…

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Q: N 0.5 -0.5 B A/ 2.5 B A (f) Circle the correct responses below. Give reasons for your answers in…

A: The solution is shown in step-2

Q: (1) Find the antiderivative of f(x). Initial condition is f(0) =3. Let f'(x) = 4x³ + x² – 3x (2)…

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Q: 5. √¸¸xy²dx + 2x²y dy, C is the triangle with vertices (0, 0), (2, 2), and (2, 4)

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Q: sim хэ-со духа - X+2

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Q: 1. Find the critical number for the function on its domain. ƒ (x) = x = x + √1-x, 0<x< 1

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Q: Particular values of the marginal cost function of Kuddly Kites, a company that sells kites shaped…

A: Particular values of the marginal cost function of Kuddly Kites, a company that sells kites shaped…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0, 1].…

A: To evaluate the following limit by first recognizing the sum as a Riemann sum  for a  function…

Q: Two spacecraft are following paths in space given by r₁ = (sin(t), t,t²) and r₂ = (cos(t), 1 —…

A: Two spacecraft are following paths in space given by  The temperature for the points is given by

Q: Find f. f(x) = f"(x) = cos(x), f(0) = 1, f'(0) = 3, f "(0) = 7

A: Given: , , , To Find: To find .

Q: et f(r) be the function 107² +9r+ 5. low the steps below to use the formal definition of the…

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Q: Determine whether the sequence converges or diverges. a₁ = en/(n+4)

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Q: The graph below is of a function g(x) with domain (-∞, ∞). It consists of two lines and a…

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Q: Find the circulation and flux of the field F= -xi-yj around and across the closed semicircular path…

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Q: nozamie ad luas In Exercises 5-10, calculate the arc length over the given interval. 5.) y = 3x + 1,…

A: Given:We are required to find:

Q: In the theory of relativity, the Lorentz contraction formula L=40√/2-1/2/2

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Q: 1릇을 4+ 쫓아서, // dx=4+ 1

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Q: y³dx + (3xy¹) dy = 0 (6xy-y³¹) dx + (4y + 3x²-3xy²) oly =

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Q: Let ƒ(x) = ²⁄3 x³ – ½¼⁄x² + 5x + 3 be defined on the entire real line. Which of the following…

A: we have given function to find the extreme points.

Q: The region formed by y = 2x - x²and the x axis is revolved around the y-axis. Find the volume.…

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