x²e*z sin(x²yz) Let f(x, y, z) = %3D 12 find dydzd x at the point (4, 0,0) 8. 4 0 6 0 12 O

Q: dy using implicit differentiation: 4x°y² – /æ +3y = 57 Find dx %3D O dy -20z'y² + }a¯1/2 8r°y+ 3 dz

A: Given,            4x5y2 -x + 3y =57

Q: Let y tan 1)2x then dy/dx at x-1 is

A:

Q: Linear Non-Homogenous – Variation of y" + 4y = cos 2x parameters

A: We need to use method of variation of parameters to solve  y''+4y=cos(2x)  General form of second…

Q: 2. Describe the function's level uvves a) faiy) -L (2 ty) %3D 76y) = Sin(y-s) d) f(y) = tan %3D

A: We have to find the function level curves for the following function...

Q: fyx if f(x, y) = sin(xy) + x² In y %3D

A:

Q: Exercise: Find dy O y = lox +3 Cost ® y =cscx- 4 Vx +7 Cotx 1+ Cotx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find df and dxo f , and write (dxo f )(X – Xo). (a) f(x, y) = x³ + 4xy² + 2xy sin x, Xo = (0, –2)…

A:

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: 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: dy da =y+ Vx? - y²

A: Given: xdydx=y+x2-y2

Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

A: Given is a differential equation:12.7y''+68.58y'+153y=0.289y+1To find the complementary equation of…

Q: SiSi dx dy dz Q4) Evaluate xyz

A:

Q: cos y – sin y dy 1+ sin(2y)

A: Given: ∫cosy-siny1+sin(2y)dy

Q: 11. Obtain the Mx and My of the area generated y = 2x +1, x + y =7 and x= 8

A: Intersection points:x+y=7, y=2x+1y=7-x, y=2x+17-x=2x+13x=6x=2 → y=5Intersection point (2, 5)Line…

Q: What is the af dy of f(x, y) = tan (x²y³ + 2xy)?

A: Topic- Partial differentiationf(x,y)=tan(x2y3+2xy)we know that,ddx(tanx)=sec2xddxxn=nxn-1 We are…

Q: Intergrate:

A: To evaluate the integral.

Q: X dy dx - Y 2 x arcsin (r)y5

A: CONVERT THE GIVEN EQUATION IN LINEAR EQUATION OF FIRST ORDER BY SUBSTITUTING v=1y4 AND THEN SOLVE…

Q: Q2: dy du (A) Show that if y=csc(u), then -csc(u) cot(u) dx dx

A:

Q: dy Find using implicit differentiation: a In y + 2y = 2x %3| dx dau

A: Given:xlny+2y=2x3

Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

A:

Q: 1 dy +y=1 x dx

A: Given differential equation, 1xdydx+y=1

Q: 1- f(-vt) ve x 1tve 117e x 1, wave which is mot a solilio to wave epuation. sinncost y at3 =…

A: We need to find the solution for equation y(x)=f(ax+bt)