drite down the integral that gives the arc length of the following curve ot evaluate the integral. =, for 1sx<4 %3D

Q: Use a calculator to approximate the length of the following curve. Simplify the arc length integral…

A: As we know that; The expression for the arc length of the curve is: L=∫abx't2+y't2+z't2dt Given:…

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

A: Given,  y=xe-x+9

Q: 10. Write and simplify the integral that gives the arc length of the curve y = x³ +500 for -1 ≤ x ≤…

A: Consider the equation of the curve, y=x3+500 for -1≤x≤2. the arc length is defined by the formula,…

Q: Evaluate the following line integral along the curve C. I +y") ds; C is the circle of radius 7…

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Q: Evaluate the following line integral along the curve C. x²+y)ds; C is the circle of radius 25…

A: Given that, C is the circle of radius 25 and centered at (0,0). The equation of the circle with…

Q: Name a function for which the integral V1 + 16x2 dx represents the arc length of the function on the…

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Q: For the function f(x) = e* + e*, prove that the arc length on any interval has the same value as the…

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Q: VT(y – 3) where 1< y < 2.

A: the given curve,   x=13y y-3 where 1≤y≤2

Q: x for -1 < x < 2. Then Write and simplify the integral that gives the arc length of the curve y =…

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Q: Consider the function f(x) = (1/4) ex + e−x . Compare the definite integral of f on the interval [a,…

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Q: For r = 4 cos 0 on the interval 0 < 0 < , find a definite integral that represents the arc length.

A: Length = ∫ (r²+(dr/dθ)2)1/2dθ

Q: arc length of y = e,0 << 2

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Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value.…

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Q: Find the exact arc length of the curve over the stated interval. 24xy = y4 + 48, from y = 2 to y = 4…

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Q: Find the formula for the arc length of the curve x = 2 cost, y = 3 sint, T ≤ t ≤ 3. Then use a ㅠ…

A: As per the question we are given the curve (ellipse) in parametric form as : x(t) = 2 cos(t)  ,…

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

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Q: a) 1 dz z2 + 4 b) 1 (z² + 4)2 az

A: In the given question we have to calculate the integrals |z-i|=2 s.t we will solve the integrals…

Q: Find the arc length of the portion of the graph of y = x? + where -1 < x < 1. You may numerically…

A: Please refer to the image below

Q: 4. Write the integral that gives the arc length of y = sin a for r < a < 80T. The use a midpoint…

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Q: Find the arc length of the given curve on the specified interval. This problem may make use of the…

A: Explanation of the answer is as follows

Q: Simplify the Determine a definite integral that represents the arc length of r = 7 sec(0), 0 < 0< 3…

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Q: Find the the arc length of y = 4x? – 2 from = 0 to x = 2 No decimal entries. Find the exact value. L

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Q: Find the arc length of f (x) = In|sec x| over [a/6, x/3]. Round your answer to two decimal places.

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Q: Set up an integral that represents the arc length of the function y=2x^4+4x from the point (0,0) to…

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Q: Use a calculator to approximate the length of the following curve. Simplify the arc length integral…

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Q: a. Write and simplify the integral that gives the arc length of the following curve on the given…

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Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the…

A: Given, vector equation

Q: a. Write and simplify the integral that gives the arc length of the following curve on the given…

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Q: Calculate the arc length integral s(t) for the logarithmic spiralc(t) = (e t cost,e t sin t).

A: Consider the provided information, ct=etcost, etsint Calculate the arc length integral s(t) for the…

Q: y = -2 In x, for 2sxs3 The integral that gives the arc length of the curve is, L = JO dk. dx.

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Q: Name a function for which the integral below represents the arc length of the function on the…

A: We compare the given integral with the arc length formula

Q: Write and simplify the integral that gives the arc length of the following curve on the given…

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Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the…

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Q: Evaluate the following line integral along the curve C. +y) ds; C is the circle of radius 24…

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Q: Find the exact arc length of the curve over the stated interval. 48.xy = yt + 192, from y = 3 to y =…

A: Given: 48xy =y4 + 192 To Find : Exact arc length of the curve over the stated interval i.e. from y =…

Q: y = x2 - 2x + 1, y = 1 about the line x = 3

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Q: Determine a definite integral that represents the arc length of = 7e", 0<0 < 4. de Submit Question

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Q: Round your final answer to two decimal places. Set up the integral for arc length and then…

A: By using arc lenght formula and using mid point rule

Q: For the function f(x) = ÷e* + e¯x, show that the arc length on any interval has the same value as…

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Q: a. Write and simplify the integral that gives the arc length of the following curve on the given…

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Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the…

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Q: Find the exact arc length of the curve over the stated interval. 24xy yt + 48, from y = 2 to y = 4…

A: This question is related to definite integration, We will solve it using given information.

Q: a. Write and simplify the integral that gives the arc length of the following curve on the given…

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Q: Find a definite integral that represents the arc length. r = 4 sec(0) on the interval 0 < 0 < 3 π/3,…

A: The given question is an application of integration to find the length of an arc with the function…

Q: a. Write and simplify the integral that gives the arc length of the following curve on the given…

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Q: For the function y In (6x) on the interval [1, 9], answer the following questions. (a) Give the…

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Q: Find the arc length of the given curve on the specified interval. This problem may make use of the…

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Q: Find the arc length of y = (x + 7) + (x +7) for I < x < 2. %3D (Give your answer to three decimal…

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Q: Evaluate the following line integral along the curve C. (x + y) ds; C is the circle of radius 17…

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Q: I don't know how to set this problem up and can you explain step by step please no rush I just want…

A: The given curve is: y=4-x2, 0≤x≤3