Find when dy dx x(t) 1. 2. 3. 4. 5. 6. dy dx dy dx dy dx dy dx dy dx dy || = tlnt, y(t) 1+ ln t 2 cos² t sin t 1 + Int 2 2 sin²t cost 1 + Int 3 cos² t sin t 3 sin² t cost 1+ ln t 2 cos² t sint 1 + Int 3 cos² t sin t = sin³ t. 3

Q: Vydy 1+ y\y 3.

A: Soln:

Q: dy Find dx 2x %3D sin (x + 9y)

A: Given that e2x=sin (x+9y) Chain rule: If a function y=f(x)=g(u) and if u=h(x), then the chain rule…

Q: as a function of x when y =

A:

Q: (sin(æ) + 2 cos(y)) dy ^ dz + (zổ – y cos(x)) dz A dæ + 11xyz dx ^ dy. Find dw. dw dx ^ dy ^ dz

A:

Q: linear or not linear? 1) dy 1ax +exy = x²4² dx 2) y + e* sinx= x³y² 31 y\nx - x²y = xy! 4) dy + cosy…

A:

Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

A:

Q: dy cosx+ ysin x =1 dx

A:

Q: 故(x3+5) ex A al d Iny d in5x

A: According to our guidelines we can answer only three subparts, or first question and rest can be…