For the curve defined by 7(t) = 4 cos(t)i + 4 sin(t)j + 3tk evaluate | F"(u)||du S = to find the arc length function. S = Solve the arc length function for t: Parametrize 7 (t) by arc length by substituting in the solved arc length function. ř(s) = %3D

Q: 6. (d) Sketch the curve described by x = 2 sin t , y = 2 cos t (you can use your calculator). (e)…

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A: given,  y=cos(pi tanx)6  at x=π2

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Q: What is the slope of the line tangent to the curve x = 9e' – sin 8t and y = 3e8t - cos 8t at the…

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Q: Find the sum of the three harmonic motions: x1(t)=10cos(wt + 2)  x2(t)=15sin(wt + 2) x3(t)=…

A: Consider the given three harmonic motions: x1t=10cosωt+2x2t=15sinωt+2x3t=15cosωt here we need to…

Q: Find the length of the curve y = 5+³/2, 0≤x≤ 2. [Formula you may need: arc length formula L = - S*…

A: Formula for the length of the curve is given as follows

Q: Find the arc length of the curve c(t) = (cos(9t), sin(9t), 2t³/2) on the interval 0 ≤ t ≤ 1.…

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Q: Find the length of the curve cos(t) + In(tan(;t)), y= sin(t), n/4 <t < 3T/4. x = %3D Length = %3D

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Q: Use the value of the given hyperbolic function to find the values of the other hyperbolic functions.…

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Q: F(t) = 3 cos(t)ỉ + 3 sin(t)j + 2tk

A: