ate f(c(t)) and ds = ||c'(t)|| i te Sc ƒ(x,y, z) ds.

Q: Let y =(f(u) + 3x)² and u = x³ – 2x.

A: The given function isand,Also,To find,

Q: of of and dy 6. For the function f(x.y) = sin ° (6x - 5y), find of df dy II

A: In partial derivative when take the derivative with respect to one variable consider other variables…

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

A: Given:     To determine:

Q: 8. For the function y = e* + sinx: a. Determine y', y",y",y^),y(5), y(6). b. Describe the pattern…

A: We have to find the differentiations of the give function and find y101.

Q: Find the extrema of f(x,y)=(x+1)(y+1)(x+y+1)

A:

Q: Evaluate y dx + x dy along the curve y x² from (0,0) to (1, 1).

A:

Q: Differentiate the function f(t) = t (11t+ 2). Answer f'(t) =

A:

Q: Find fxxx for f(x, y) = Sin() at (π, π)

A:

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) = 2t²1 - 4tj + ²t³k (a) r(t) (b) r"(t) (c)…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: If f(z) is analytic function and u(x,y) = x3 - 3xy find f(z) %3D

A: Given that the real part of the analytic function f(z) is, u(x,y) =x3-3xy To find the analytic…

Q: Use the Second Derivatives Test to find all the relative extrema and saddle points of f(x, y) = x³y³…

A:

Q: af If f(x,y) = sin-(4x³y?) then dx 12x?y? 1-(4x³y²)² O a. b. 1 4x³y²/(4x³y?)² – 1 c. 12x²y² 4x³y?…

A:

Q: 1 1 dz = lim V3(w + h) – 2 V3w – 2 h 1- dw h-0

A:

Q: Q2- If Z = f(x, y) = sin(x³y5) Find fyy and fyx

A:

Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

Q: f(x)= x' -9x² +15x – 7 what is the tangent line slope which is drawn at the inflection point of…

A: The given function is f(x)=x3-9x2+15x-7

Q: Let r (t)= - The x component of r' (-1) =

A: r'(t)=<2t,3,5> r'(-1)=<-2,3,5>

Q: 3 f(x, y) = x° sin(xe")+ xe

A: