dz and Q\ let z = In (r² + 1) where r =r sin 0 find dr dz de

Q: Cary)= x°Cscx +secy J sinx Cot y

A: Given function is fx, y =x3 cscx +secy sinx coty

Q: y = In x3 sinx 2 Cx² + 4

A: The function is given by y = lnx3sinxx2+4 To evaluate: The expression of dydx.

Q: Find dy y = X 2 In (x+5x-1)+sinx

A: To find (dxdy​) for the function (y=xln(x2+5x−1)+sinx), we'll use logarithmic differentiation.1.…

Q: | cos r In(sin z)dr

A:

Q: Solve Ordinary Ditferential equatior: x) du + (g°cosyt 13 13e+ 4x sin 곳e 2.

A: Firstly expand the equation  (13ey +4x2sinx)dx+(y2cos y+13x2ex) dy=013ey dx+4x2sinx dx+y2cos y…

Q: sin t dy If y = tan" ), show that cos t-1 dt 2 II

A: Formula Sin2x + cos2x =1  Find dy/dt

Q: [ sec2t dt + S sin?t dt + § n'-1dt

A:

Q: 2y dr - y dy y (x-2y) dy, y(0) =-1 O x = 2y - e +3 %3D a y = 2r- e+3 0x= 2y-e+3 O x = 3y + 2e +1

A: Given DE is 2y dx-y dy=y(x-2y)dy ⇒dx-12dy=12(x-2y)dy⇒dx=121+x-2ydy⇒dxdy=12+x2-y⇒dxdy+x-12=12-y Which…

Q: Q) Find F(x) of Sin x O Fix)- S sec?t dt O Fia)=SEdt

A: The cumulative function is given by ​​​​​​​

Q: f SSR5e -27 sin(5x)y cos(2y) dxdy = f, 5e-2¹ sin(5x) dx f2, y cos(2y) dy where R = [-1, 1] x [1,2].…

A: This is a double integration problem

Q: dy da =y+ Vx? - y²

A: Given: xdydx=y+x2-y2

Q: -351 ye dc -3 tanx dx t. tan x (e-casx) dy =0

A:

Q: dy Let y = f(x) such that y = x + tan xy. Find dx %3D

A:

Q: when u = 0, v =1 if du Use Chain Rule to find z = sin ry + x sin y, r= u² + v² and y= uv.

A: Given: z=sinxy+xsiny, x=u2+v2 and y=uv. To find: ∂z∂u at u=0, v=1. Solution: Partial derivative of a…

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: S(1- cos )´sin ź dt, u = 1 – cos 4. U = V5x+8' dx ,u 5x + 8

A:

Q: Intergrate:

A: To evaluate the integral.

Q: find dw/ar if w = (x + y + z)?, y = cos(r + s), at the point (r, s)3(1,-1) x = r - s, z = sin(r + s)

A: Given w=(x+y+z)2 x=r-s y=cos(r+s) z=sin(r+s) point (r, s)=(1, -1)   when we differentiate partially…

Q: B. Verify that dz/dy dz/dx 1 =. If xy + z = sinz.

A: