Calculate the arc length of the indicated portion of the curve r(t). 43) r(t) = 2t2i + 11t2j+ 10t2k, 1 st≤2 A) 675 B) 337.5 C) 45

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A: Let's find.

Q: Let f (z) = 470 = Q A = 2and B= 2 + 2Let C1 be the contour composed of the line segments O Aand AB…

A: Let x(t) and y(t) be two real valued continuous function an[a, b] then z(t)=x(t)+iy(t), t∈[a,b] is…

Q: Let f (z) = 470 = Q A = 2and B= 2 + 2Let C1 be the contour composed of the line segments O Aand AB…

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A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

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Q: Prove that for the curve x = 31, y = 3 f, z = 2 ² 3 (1+21²) 2 p=-o=

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Q: Find the slope of the line that is tangent to the graph of f(x) = x° + 2 x³ – x² + 2 at x = 1. а) О…

A: The objective is to find the slope of the line that is tangent to the graph of f(x) at x=1.

Q: 2 b) у +3х +2у -20%3 0 2 a) x* +4у + 4х - 8у-8%3D0

A: This is a question of the Transformation of axes.

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A: Given: 2y3+y2-y5=x4-2x3+x2. Graph the curve: The graph of the function represents a bouncing…

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Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: 13. If B is the midpoint of AC, and AC= 8x- 20, find BC. 3x - 1 В

A: We will find BC as following.

Q: vestigate and ske ² + 2x +8y - 31

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Q: Find the length of the following three-dimensional curve. r(t) = (2+5t,9-3t, -6+3t), for 1st≤4

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Q: Prove that for the curve x = 31, y = 3 f², z = 2 8³, 3 (1+21²) 2 p=-o=

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Q: . C is the part of the circle x2 + y? = 36 in the upper half plane y > 0, oriented…

A: Given query is to find value of the integral.

Q: 3. A toy is fred its position roc ket Straight up into the air. Let slt) = -6t+72t denote. teet…

A: The following function represents the path of rocket  s = - 6t2 +72t     feet