Let f(x) = x³/2. Determine the length of the arc swept over x E la, b).

Q: Calculate the arc length of y = 3x + 1 as a varies from 0 to 4. S =

A: Given that ,Calculate the arc length.

Q: Suppose a>0. 1 The arc length of the curve y=(a²+2)³/2 for 0<<a is. 3

A: L=∫abdydx2+1dx

Q: curve is described as X= g(y), cs ysd then the formula for arc length appropriate to use is: 2 dy 1…

A: our objective is to find the correct choice.

Q: we draw a tangent line on y=/25 –x² at x = -3. 14 - find the slope of this tangent line. O A) 2/3…

A: To find- slope of the tangent line.

Q: Keparametrize the curve rit) = with respect to its arclength measured from the point (e"20,e"2) in…

A: Given curver(t)=etsint,etcost,et Above curve is passes from the point eπ2,0,eπ2.we need to find the…

Q: Find the length of the curve F(t) = (eỗ cos (‡), eỗ sin(‡), eś) for 0 ≤ t ≤ 2. Arc length =

A: To find arc length of the curve

Q: Evaluate 112x C: arc on y = x5/2 from (0, 0) to (4, 32) (2x - y) dx + (x + 3y) dy.

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Q: 1 y = 6 2.x +

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Q: Find the length of the arc f(t) = (sin t, cos t, √3t) for t € [-1,1].

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Q: Find f (x-y3)d a + xy dy if the contour C looks as follows: It consists of two arcs of radius 1 and…

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Q: Use the formula for arc length to show that for any constant C, the graphs y = f (x) and y = f (x) +…

A: For any given function y=f(x), arc length is given as:

Q: Find the slo pe of the Para bola y=X at the Point PC2,4).write an equation for the tangent to the…

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Q: Find the arc length over:

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Q: Find the length of the curve (t) = (et c Arc length: = (et cos (‡), et sin (#), e) for 0 ≤ t ≤ 1. =

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Q: Find the arclength of y = 2x - 1 on 0 ≤ x ≤ 4

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Q: Find the arc length of the curve x = 5y³/2 from y = 0 to y = = 4. Length= =

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Q: Find the arc length of the curve x = Length: = → 5y³/² from y = 0 to y = 4.

A: