Sin[t] 2) Suppose a 3D motion is given by X[t] = Cos[t] t-2) Find a time when the speed v[t] is not changing, E = 0 @ t = a) 0 b) 1 c) 2 d) T/4 e) T/2

Q: Pr. #14) Find and sketch the domain of the function in R2. In [sin- ()] (x, y) x2+y² %3D -

A: This is the problem of multi-variable functions.

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A: Answer

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Q: Determine an equation for the sinusoidal function shown. 2 2 2 -1 -2 O a) y--2cosx O b) y = -coS TX+…

A: We have to determine the sinusoidal function of the following graph -

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Q: Find the derivative of y= a) 1 b) -1 O co d) 2 X - six at x = 2.

A:

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A: Given problem:-

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Q: (b) 는(cosx)=-sinx (d) VI+ tan x 1+* Q1) Show that: (a) (1+x) =1+6x (e) (V): *- () %3D

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Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

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A: x = -2 sin t, y = 2 cos t Table for values of x and y: t x y 0 0 2 π 0 -2 π2 2 0 2π 0 2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.