Question 2 Suppose an object is moving along the unit circle. (æ(t), y(t)) Find the correct relation between x, y, dx and 2x + 2y = 0 2 + y? dy = 1 dt dy + y = 0 di y² = 0 2些+2% =(

Q: 14. For a given 5-minute period, the rain is falling at a rate (in mm/min) of R(t) = 0.5cos(t) +…

A: Total Rain is obtained by integrating R(t).

Q: а. 3(х + 1)2

A: Given that : The equation is y = ( x + 1)3 .

Q: Find dy/dx x = 2eθ , y = e−θ/2

A: Given:  x = 2eθ  and y = e−θ/2

Q: Find dy/dx.

A: We have to find dydx: 2y-1=9x23+y Rewriting the equation, 2y-1=9x23+y2y-112=9x23+y We know the…

Q: Examplei- Let F 4)= tittjt Sintk then find a)

A: Given,           F→t=ti+t2j+sintk

Q: 1. Separating the variables dy 1 x(y- 3) =D4y dx %3D

A: In the separation of variables method of solving the differential equation, the different variables…

Q: find dy/dx

A: y=∫sec x21t2+1dt.

Q: 2. The slope of a curve at any point (x, y) is given by dy da 4x, if the curve passes through (-1,…

A:

Q: dy *3. (a) Suppose that r and y are functions of t, where r and y are measured in feet and t is…

A: We use implicit differentiation

Q: – by dy 1. dx ах — by bx -

A: