Which of the following equations shows the best way to solve the length of the arc of the parabola x2 = 4y from x = -2 to x = 2? %3D A. L = 1+ B. L = S, 1+4y dy x4 dx 16 C. L = S, = L x2+4 dx 4

Q: Find the exact arc length of the curve over the stated interval. y = 7x/2 – 5, from x = 0 to x = 1 -…

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Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y…

A: Solution is written in below steps.

Q: If f(x) = 3x^2/3 − 10, find the arc length of the graph of f from the point A(8, 2) to B(27, 17).

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Q: Evaluate (x + y?) dx + 3x dy, where C consists of the arc of the parabola = y? from (1, 1) to (4,…

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Q: nd and classify the eguilibriam solutions to: dy -y° - ly dx 2

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Q: Find the arc length of the curve from z = 3 to = 6. Leave your answer as a simplified radical. f(x)…

A: Explanation of the answer is as follows

Q: Find the length of the arc of the given parabola: x²=4y from x=-2 to x=2

A: We know that the length of the arc of the parabola y=f(x) from x=a to x=b is given by L = ∫ab1+dydx2…

Q: Find the arc length (s) of the curve r(t) = (2t, 4 cos(3t), 4 sin(3t)) for 1 <t < 4 S =

A: Application of integration and partial derivatives use to solve this problem.

Q: Find the arc length of the following curve on the given interval. x- 24t+9, y= 10t-7,0sts1 The…

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Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: 6. Find the length of the arc in one branch of the curve y2 = x³ from x = 0 to x = 1. %3D %3D A 1.2…

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Q: 2. 6. 2. (3), 6. (x) 10. 12- 14. (4, 17) 16. B. 18+ f4)= 2x2+1 Find the arc length of the graph from…

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Q: Solve the following using exact equation or linear whichever is applicable. 1. (х + у) dx + (х — у)…

A: 1. An equation of the form Mdx+Ndy=0 is exact if My=Nx. Here My is the partial derivative of M with…

Q: 1. Find the length of the arc of the cycloid: x = t - sint, y = 1 – cost , 0st<2n

A: given that x=t-sint, y=1-cost, 0≤t≤2π find the length of the arc of the cycloid we know that length…

Q: Find the arclength of y = 3r/2 on 1 < a < 3

A: As we know that the expression for the arclength is:   l=∫x1x21+dydx2dx...(1)   Given: y=3x32x→1 to…

Q: Find the length of the curve 7 (t) = (cos(3t), sin(3t), 2t) for – 8<t< 7 - Give your answer to two…

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Q: Find the length of the curve 7 (t) = (3 cos(4t), 3 sin(4t), 4t) for –5 <t< 8 Give your answer to two…

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Q: Show that the arclength of the graph of y=sinx on the interval [0, 2n] is equal to the circumference…

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Q: The arc length of the curve x| + \yl = 1 is Select one: a. 4/2 b. 4 C. 2

A: The graph of the function helps to find the arc length of the curve. Since lengths of all the sides…

Q: 127x+1 M. K 63x+1 JMK what is the meAure Of Arc

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Q: Find the arc length of the graph of the given equation from A to B (x+3)2 = 8 (y-1)3 A(-2,3/2)…

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Q: Find the arc length in the second quadrant of the curve x23 + y23 2/3 = 9 from x = - 27 to x = – 1.…

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Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

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Q: 39. Approximate the arc length of the parabola æ = t? - ty = t² +t on [-1, 1) using Simpson's Rule…

A: x=t2-t,  y=t2+t on -1, 1. Differentiating with respect to t, we get dxdt=2t-1  &amp;  dydt=2t+1 Now…

Q: 3 The arc length of the portion of the curve y=x 2 with 0<x<4 is

A: I have append the formula used to find arc length in the solution part.

Q: Find the length of the curve 7 (t) = (ei cos(;),ei sin(;),ei) for 0 <t<4. Arc length =

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Q: Find the arc length of the graph of r(t) = ev2ti + ev2rg + 2tk, 0<t<V2 In 3 %3D NOTE: Enter the…

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Q: What is the length of the arc described by r(t) = 3t² i + 2t³j+k, (A) 1 (B) √6-1 (C) 2 (D) √6 (G) 6…

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Q: Determine which formula we are using when we are trying to find the arc length: cx=b •y=d dy 2 dx dx…

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Q: stuck on the attached problem

A: Please refer to the white board. We have to find the volume shaded in the first diagram. This volume…

Q: Find the arclength of y = 2x? +1 on 0 < x < 4

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Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

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Q: Find the arc length (s) of the curve 7(t) = (e*, 4e", - 2et) for 0 <t < In(5) |

A: we are given the curve  r→(t)=e5t,-4e5t,-2e5t =e5ti-4e5tj-2e5tkwhere 0≤t≤ln5

Q: Find the arc length of the graph y =(x2 + 8)°/2 from x = 1 to x = 4. 12

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Q: 1 for the interval [1,3]. 8x2 Find the arc length L of the curve y

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Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: 26. (а) dz dy dx x² Jo r2-y 0, r2-x-y (b) dz dx dy 0. (c) dx dz dy -2 Jo

A: Part (a) Set the limits on x, y, and z-axes and sketch the region as follows:

Q: Find the arc length of the graph of r(t) = ev2'i + e-V24j+ 2tk, 0<t< v2 In 9 NOTE: Enter the exact…

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Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

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Q: a) Show that the length of the arc of parabola y? =16x measured from the vertex to an extremity of…

A: Given the parabola y2 = 16x.

Q: Find the arc length of the following curve on the given interval. x=8t-2, y = 15t-3, 0≤t≤2 The…

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Q: S2 S1 - R1– -R2-

A: We have to find arc length of S1.

Q: Given the parametric equation x=(4/5)t5/2 and y= (1/4)t4-t find the arc length of the curve on the…

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Q: Find the arc length of y = 7r +1 over the interval [0, 2]

A: y = 7r + 1 arc length=∫02 1+(dy/dr)2dr dy/dr = 7' arc length=∫02 1+(7)2dr arc length=∫02 50dr arc…

Q: (2? – y) dæ + (y² + æ) dy] - where C is the parabolic arc Y = x2 from (1, 1) to (0, 0). Oo None of…

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Q: Find the exact arc length of the curve y = (x^6+8)/16x^2 from x = 2 to x = 3

A: We first write y as two terms and then find dy/dx using the power rule

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

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Q: x = -3-3/f, y = 41*, (16 <t S 25)

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.