a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b. Use a right Riemann sum with n= 10° approximate integral. y =, for 5sXS 15

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: X = c = Jy- y de 4 <ys 9.

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Q: Find the total arc length of the cardioid r=1+cos6O

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Q: Find the point On the curve R(t) = 5sint i + 5cost j+ 12t at adistance (26T) units along the curve…

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Q: Determine a definite integral that represents the arc length of r = 3e°, 0 < 0 <7. de 0.

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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: Calculate the arc length integral s for the logarithmic spiral c(t) = (e' cos(t), e sin(t)) for 0…

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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 point On the curve R(t) = 5sint i + 5cost j+ 12t at adistance (26t) units along the curve…

A: Arc length of a parametric curve: Let rt be a parametric curve. The arc length of the curve rt from…

Q: Express the arc length of the curve y = tan x for O &lt; x &lt; ~ as anintegral (but do not…

A: Given that, Curve, y=tanx 0&lt;x&lt;∞

Q: Find the arc length of the portion of the graph of y=x2+x , where −1≤x≤1 You may numerically…

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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: Given that v1+ tan x dx represents the arc length of some curve defined by y= f(x) on 0, A,…

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Q: [] 10. r(t) = (41, – cost, sint) 0, over

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Q: Determine the arc lengths defined by the following functions over the given intervals: a.) y=1/3…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the surface area of a sphere of radius r using the formula of arc length with respect to x.

A: The objective is to find the surface area of a sphere of radius r using the formula of arc length…

Q: Find the arc length of the indicated portion of the curve: r(t)=(e' cost)i +(e' sint)j+e'k, In 4…

A: Given:rt=etcosti+et sintj+etkInterval 4≤t≤0Arc length:L=∫abdxdt2+dydt2+dzdt2 dt

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: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1).…

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Q: Find the point On the curve R(t) = 5sint i + 5cost j + 12t at adistance (267) units along the curve…

A: Given:-               rt = 5 sin t, 5 cos t, 12 tdistance = 26 π unitspoint = 0,0,0

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

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Q: Show that the arc length of y = 2√x over [0, a] is equal to√a(a + 1) + ln(√a +√a + 1). Hint: Apply…

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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: Find the arc length of y = (x+ 6) + (x + 6)- for 1 < x < 2. (Give your answer to three decimal…

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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: 3) Find the arc length nE the following curve on the Given interca X=4sint -4T COst, y=4c0s T t4t…

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Q: Find the arc length of the curve below by integrating with respect to y. x= 9y-7, for -7sy36 .... d…

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Q: Find the arc length of f(x) = In(csc(x)) on [0, T/4]. CSC

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

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Q: Find the area of the surface generated when the given arc is revolved about the y-axis ㄷ y = 4 - x²…

A: We have to find area of the surface .

Q: Find the arc length of the following curve on the given interval. x= 24t + 1, y = 7t + 7, 0sts2

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Q: drite down the integral that gives the arc length of the following curve ot evaluate the integral.…

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Q: Given x = y²+2y 8 - In(y + 1), find the arc length for 0 ≤ y ≤ 2.

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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: Which of the following integrals represents the arc length of the graph of y=2lnx over the integral…

A: Here we we will find intigral which represents arc length of given graph,

Q: Show that, for any interval, the arc length of y = }e² +e¬# is equal to the area under that portion…

A: Consider the given equation, y=14ex+e-x   The formula of arc length is defined as, Arc…

Q: For the function f(x)=1/4e^(−x)+e^x, prove that the arc length on any finite interval has the same…

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Q: The arc length along the parabola y = x from (1,1) to (2,4) is given by which of the following…

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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: 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: 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: Consider the curve f(y)=12y^7+1 over the interval 0≤y≤1. Use a calculator to approximate the…

A: To approximate: the integral for the arc length of the curve. Round your answer to the nearest…

Q: Prove that the arc length on any interval has the same value as the area under the curve.

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