(c) Show that (d/dz)z does not exist anywhere,

Q: Find the differential dy: y = In (sec² (3ª²–2x+5)).

A:

Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: Given: fx,y=exsiny+lnxy To find the partial derivative of ∂3f∂x∂2y Partial differentiation: Partial…

Q: Let y=x2+2x. Compute Δy and dy at x=3 if dx=0.2. What is the difference between Δy and dy? That is,…

A:

Q: Find dy for all of : dx 1- y = x/Inx у

A:

Q: The linear approximation at z = 0 to sin(8x) is A + Bx where A is: %3D and where Bis:

A: Given : The linear approximation at x=0 to sin(8x) is Ax + B   To Find : Value of A and B

Q: Compute /. x² dx dy dz, where E = {(x, y, z) : x² + y² < 1,0 < z < 1}.

A: To evaluate ∬∫Ex2dxdydz, Where E is the region E=x,y,z:x2+y2≤1, 0≤z≤1.

Q: Verify that [(y- 2x \dx +(2xy +x*dy = [S -川- dA where C is the bounda ôy R defined by y = 0, x = 1,…

A: See the details solution in below

Q: J. In (T/2) cos ey dx dy In (/6)

A:

Q: dy for y= In(In(2r')) dt

A:

Q: Suppose that u and v are differentiable at x = 2 and that u(2) = 4, v(2) = -9, u'(2) = 5, and v'(2)…

A:

Q: The integrating factor of the LDE y'=x-2ycotx is A B с D sin²x sec²x csc²x cos²x

A:

Q: dz is equal to .. dt Let z= In (x2+y²) where x=ue"sin t and y = ue"cos t. If u= -2 and t=0 then -

A:

Q: w =sec (xyz) - Yx +y+z

A:

Q: Transforming A S B © D dx secx + 1 7 dz 1-2² 1==323d² -dz 1+z² [1+2²21 2-272 1+z² -dz -dz using…

A:

Q: The order of the differential equat 2x2 - 3+y = 0 dy + y = 0 dx2 dx O not defined O 2

A:

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = sinh (xy - z2)

A:

Q: b) f(x) = In(1 – 3x) %3D c) f(x) = cos(t³) dt

A:

Q: If x = y3 - y and dy/dt = 5, then what is dx/dt when y = 2?

A: Given,

Q: [-+] 5t dy 3.1는-51%3D-y dt

A: This is a linear 1st order differential equation.

Q: Show that d/dz(z^2 z ̅) does not exist anywhere.

A: Here we show that ddzz2z does not exist anywhere.

Q: Compute the differential dz of the function. z = x'y8 dz

A:

Q: Compute the differential dz of the function. z = x*y" ,7,,11 dz

A:

Q: Find the Wronskian for the differential equatio: dy dx2 fip dx 3 10y = 0

A:

Q: dz Find dz -3 and of z = x³ In(1 + xy). dy

A:

Q: dy In(5a + 2) Find for y = %3D dx

A: Giveny=ln(5x+2)7e5xdifferentiate…

Q: 1. xy + z2

A:

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

A:

Q: Find dy at x = -1 if y = u’ +5u – 4 and u = x² +x . dx

A:

Q: dx + 3x dt cos(5t) %3D with x(0) = 1. x(t) = %3D

A: The given initial value problem is: dxdt+3x=cos(5t) ;         x(0)=1

Q: O from the equation z = In(x² + y²) + Zyy Show that zxx %3D

A:

Q: dz az B. Find əx and ay 3. x eY+ cos xy36xz+5x²

A: partial derivative

Q: Intergrate dy (2y-x) =In Co)

A:

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: If a = 5+ti and y = 3t - t then dy at t = 1 dz is :

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Compute ∫C(ln(x + 5) - x2y)dx + (xy2 + sin(ey))dy. C is a unit circle with counterclockwise…

A: We need to compute ∫C(ln(x + 5) - x2y)dx + (xy2 + sin(ey))dywhere c is a unit circle Equation of…

Q: Find dy if y = In* +1 7 -t dy dt

A: Derivative is below

Q: I = 1- 6x?y dx dy.

A: In double integration, we start integrating from the inner part with respect to the inner variable.…

Q: Use the differential dy to approximate Ay whenx changes from x = -2 to x = -1.96. %3D y = x² + 1

A:

Q: Draw the slope field for Y - 2y dx

A:

Q: 1-fd dydx R = {0,1} * {2,5} y2 2-S y2 (1–5x)2 dxdy R = {0,1} * {0,2}

A:

Q: Verify the linear approximation at ( 0, 0) for e^x cos(xy)

A:

Q: If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

A: Differentiate both sides with respect to t.

Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

Q: 3) Find dy/dx Cas %3D X-

A: Given:

Q: xy*-dy = (a* lIn a – y (а* In a - y %3D

A: we have to find the differential of ax=y

Q: Find dr dy at x = -1 if y =u° +5u – 4 and u = x² +x.

A:

Q: 1. Defermine the integrating thators of the pallo wing non- exnet exact esuations. A. (1+ 4xy -…

A:

Q: Let W=x*yz.compute the differential dw.

A:

Q: dy dt II

A: