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

Q: Find the arclength of y = 4x³/2 on 1 < x < 3

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Q: Find the coordinates of the inflection point of f(x)=cot(x) that is nearest (but not on) the origin…

A: Consider the given: fx=cotxAn inflection point is a point on the graph at which the second…

Q: Suppose the position function of a particle is given r(t) = (√3 cos (t), t-4, √3 sin(t)). If the…

A: Given : r(t)=3cos(t), t-4, 3sin(t) is the position function of a particle. To find : If the particle…

Q: 8. Find for y=√√4x (arcsin(x²+2x)) dx

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Q: Find the least and the greatest values of distance of the point (cos , sin 0), 0 R, from the line 3x…

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Q: What is the length of the arc y = (x6/6) + (1/16x4) on the interval [1,2]?

A: Given, function and interval

Q: d (h) Find sec (arctan (0~))] do

A: We need to find out the derivative.

Q: Suppose θ(t) measures the minimum angle between a clock’s minute and hour hands in radians. Find,…

A: Given that:  θ (t) measures the minimum angle between a clock’s minute and hour hands in radians. An…

Q: Find the domain of the vector function 7(t) = Domain: {t| <t< }

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Q: Find the equation of the tangent line to the curve x = 1 - cos thetha, y = thetha  - sin thetha at…

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Q: ) If y = cos2x + 2cosx for 0 < x < 2n. Find the points at which the tangent line is horizontal.

A: Given function is y=cos2x+2cosx for 0≤x≤2π. To find the points at which the tangent line is…

Q: Find the tangent line to y = tan x + 9 cos x at x = n.

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Q: sin Tt cos Tt dt

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Q: Find the length of the curve r(t) = (5 cos(2t), 5 sin(2t), 2t) for − 2 ≤ t ≤ Give your answer to two…

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Q: X = +²37₁ y = + ²3² Find the values of + that correspones to vizontal vertical tangent lines to the…

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