Find the arc length parameter along the given curve from the point where t=0 by evaluating the integral s(t) = · SIV(T)| 0 r(t) = 5costi + 5sint j + 6t k, where 0 ≤ts- dt. Then find the length of the indicated portion of the curve

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A: if f( x ) is continuopus at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

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A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

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Q: 65. r = 1 - sin

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Q: 14. The set of all critical numbers of f(x) = 2 cos x + sin 2x on (0, 2) is A. {7, 37) c. (3, 57)…

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Q: 10. Select the expression equivalent to In(7). O log(7) ○ In(21) + In(3) O In(21) In(3) In(21)-In(3)

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Q: 35. (AP Study) The number of rabbits on an island during a measured five years period of t was found…

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Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. y = -x³ + 5,…

A: Topic = Area

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: 1) Derive the gradient descent approach for L₂ regularized linear regression. Specifically: E(c) =…

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Q: 16. (D² + 3D)y = -18x; y = 0, Dy = 0 when x = 0

A: Given differnetial equation ( D2 + 3D )y = -18x

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A: given  u=-122

Q: a) A pyramid has a height of 510 ft and its base covers an area of 15.0 acres (see figure below).…

A: (a) A pyramid has a height of 510 ft and its base covers an area of 15.0 acres.  The volume of a…

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A: Given V( t ) = 400 - 20t

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Q: 1. Show all steps to solve for x log3 (log5 (4x + 1)) = 0.

A: We need to find out the value of x.

Q: 3 Define { Evaluate the following limits as (x,y) → (1,0) of G(x, y): • along the line y=0- i.e.…

A: Please see the below picture for detailed solution.

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

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Q: 5s - 7 (s + 3) (s² + 2)

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Q: 20. y = x², y = 4x − x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…