az Use the Chain Rule to find az and as for z = x2y3,x = s cos t, y = s sin t. %3D at

Q: Determine the exact value of ex e3x cos 2x dx

A:

Q: Find y' and y". y = cos?x

A: The given function is y=cos2x To find: y' and y''

Q: If rcos(x)sin(y)=a, rcos(x)cos(y)=b and rsin(x)=c, find r.

A: Formula used is written in the bracket of the first photo.

Q: Differentiate y = In (cos² 3x).

A:

Q: 2- 1- 3一寸

A:

Q: Sec (Cosx) dydx 1- Sin

A:

Q: dy -y'sinx is: dx The solution of Select one: a. y3cosx+ C O b. %3D COSX-C C. V=3 CO5X + C d.…

A:

Q: B) Find and itx sin 3z and y tan 3z dx2

A: Given: x=sin23z and y=tan3z If x and y are function of z, then using parametric differentiation we…

Q: Locate the bifurcation values of t for the family and draw phase lines. Describe the bifurcation as…

A: Derivative of the function f(y) is the measure of how fast the function is changing with respect to…

Q: Find sun alpha and tan alpha if the terminal side of alpha lies along the line y=-8x in Q2

A:

Q: dw Use the Chain Rule to find , where w = sin 8x cos 4y, x= dt , and y = t. dw dt (Type an…

A: Given w= sin(8x)cos(4y), x=t/2 , y=t3

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

A:

Q: Use an appropriate form of the chain rule to find and if z = xe" , x = 2uv , ди y = sin(uv). You…

A: By using the definition of  chain rule for two independent variables we find the value of ∂z∂u, and…

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

A:

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: Evaluate 4x cos(2-3x) dx

A: Given: The objective is to evaluate ∫4xcos2-3xdx.

Q: 1- 2- If x=y√√1-y², find Find y' for y=cos(sin²x) dy dx

A:

Q: y = cos(-4x)

A:

Q: Q/ Find the intergration 3 tan? Vx dx.

A: Consider the provided integral, ∫3tan2xxdx Evaluate the provided integral. First, we take outside…

Q: B) Find and It x sin 3z and y= tan 3z dx

A: x=sin23xy=tan 3xWe need to find dydx and d2ydx2.