Find the arc length of the curve c(t) = (cos(9t), sin(9t), 2t³/2) on the interval 0 ≤ t ≤ 1. (Express numbers in exact form. Use symbolic notation and fractions where needed.) L(c) =

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Q: Find the arc length of the graph of the function f(x) = 9√³ from z = 5 to z = 7. arc length=

A: The formula to find the arc length of a curve y=f(x) from x=a to x=b is given by

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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…

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Q: =[in(4-x cos (r4

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Q: Consider the function f(x) = 3 sin (r). Find the equation of the line tangent to the curve f(x) = 3…

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Q: Let f(x) = arctan + arccos (sin x), find and simplify.

A: Given function: We have to find  and simplify.

Q: 1) Use Excel to plot both of sin(x), cos(x) at the same plot, where: 0<x <2n.

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Q: What is the slope of the line tangent to the curve x = 7et – sin 6t and y = 6e6t - cos 6t at the…

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Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: Find for the following functions: (4) y = x sinh 2x --cosh 2x (2) y = tan³√/cot(7x); (3) y= sin Imvr

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x = 5.² in six…

A: Given integral is ∫0πsinxxdx. We have to evaluate the given integral by using composite trapezoidal…

Q: F() = (ei cos(), ei sin(;), ei) for 0 <ts4. 8 COS Find the length of the curve

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