Describe the long run behavior of f(t) = - (t + 3)°(t + 1)(t + 2) As t → - 0, f(t) –→ ? As t → 0, f(t) → ?

Q: 8y'' - 12y' + 5y = 6 cos t

A:

Q: Find all second-order partial derivatives. f(x, y) = 8ye2z²–7y a? f 32ye^(2x2-7y)4x2+1…

A:

Q: Compute the first partial derivatives of the fol f(x.y) = 4 – tan 1 (3x?+2y?) -1(3x2 +2y)

A: f(x,y)=4-tan-1(3x2+2y2)partial differentiation w.r.t xfx=0-1(3x2+2y2)2(3×2x)…

Q: The quadratic partial derivatives are continuous and fa (x, y) = x + y? and fy (a, y) = x – y meets…

A: We have to check whether the statement, "The quadratic partial derivative are continuous and…

Q: Find all the second partial derivatives. f(x, y) = x³y² + 6x^y fxx (x, y) = {xy(x, y) fyx(x, y) (xin…

A: We want to find second order partial derivatives.

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: Given: y=7x-1 We know that ddxxn=nxn-1                                                       ..1

Q: Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2/2, 7) where g(x, y) =…

A: According to our policy at Bartleby, I can solve only 1 question. Given a function : g(x,y)=12x+5y2…

Q: Q2/ by using chain Rule to find dw at t = 1 if dt w = 2ye* – Inz ,x = In(t? + 1), y = tan 1t,z = et

A:

Q: Use the Chain Rule to evaluate the partial derivative at the point specified. ∂f/∂s at (r, s) = (1,…

A: Use the Chain Rule to evaluate the partial derivative at the point specified. ∂f/∂s at (r, s) = (1,…

Q: 011) For the z=(2x+3y)10,which is correct partial derivative? * b. fx=20(2x+3y)9 O d. fz=30(2x)9 a.…

A: Given: z = (2x+3y)10 To find: Correct partial derivative.

Q: (b) Compute the partial derivative fy at the point (x, y) = (1, 1), or show that it does not exist.…

A: Let f:R2→R  be the function   F(x,y)=x-1.y-113(b) compute the partial derivative fy at the point…

Q: dw where w = cos 8x sin 3y, x=- dt 5. and y=t". Use the Chain Rule to find 2

A:

Q: Find the linearization of g(x) = 3 + sec (t - 1) dt at x = -1.

A:

Q: Find the linearization of f(x) = 9 – dt at x = 1. 2+t

A:

Q: dz Suppose that z = x³ – 3y?, x = 4(t³ – 1), and y = Int. Find using the Chain Rule. dt %3D -

A:

Q: dz Use an appropriate form of the chain rule to find dt z = 8x"y³; x = t°, y = t Enter the answer in…

A: Topic :- Differentiation

Q: Q2. Find the second order partial derivative of F(x.y) = x³+ x°y°- 2y² w.r.t. x at (2,1).

A: Given:        Fx,y=x3+x2y3-2y2  taking first partial derivative with respect to x.…

Q: If f(x, y, z) = 12ry - 2yz - 6zx + 7, then the first order partial derivative f = O - (2y – 6x) (2y…

A:

Q: Suppose F(x,y)=sin²(xy +e"), where x=u² +v and y = In(u² +v). Find the . ƏF ¸ ÔF value of when u =1…

A: The given function is: F(x,y)=sin2xy+eywhere:x=u2+v         and         y=lnu2+v

Q: For f(x,y,z)=3xy+2y+8z - cos(x²+y²–z), the partial derivative fxy(1,2,5)=

A: Given function is fx,y,z=3xy+2y+8z−cosx2+y2−z. We have to find the partial derivative fxy1,2,5.…

Q: dz at t = dt if z = f(x, y) = x² – 3xy+ 2y², x = x(t) = 3 sin 2t, y = y(t) = 4 cos 2t. Use chain…

A:

Q: Find all the second-order partial derivatives of the function f(x,y) = 4x2 + 9y + 7x2y?.

A:

Q: Find the partial derivatives of the function

A: Given function,

Q: dw if: dt Q1) Using the chain Rule to find w = xy + 3z, x = sint, y 2 cost, z=t (x2 +)

A:

Q: I the function z(x, y) = ex sin(3y) and x = ut-t², y = √u² + t², Find : dz dz and 2- (by chain rule)…

A:

Q: If f(x, y, z) = 2x5 + 3y5- 8x2y?z?, what is the partial derivative of f with %3D respect to z? fz =…

A:

Q: b. Find the partial derivatives fx ,fy of the f (x,y) = x². e²y+3x

A:

Q: For the function f (x,y,z,w) with x, y, z, and w all functions of s, t, andr, write out the chain…

A: The function is fx,y,z,w x,y,z,w are functions of s,t,r.   Partial derivative of a function with…

Q: Find all the first order partial derivatives for the fo f(xy) = (2x°y* + 9)?

A: Partial derivative

Q: Given that e2y, 10x2+4. f (x, y) = sin Enter a 10 significant figure approximation to the partial…

A: We will use matlab to find the answer

Q: Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the…

A:

Q: 1 t3 4u p А (р, t, u) : pt2 u?

A:

Q: Use an appropriate form of the chain rule to find dz/dt 1. 2 3xy; a r-t' and y

A: use partial derivative for finding drivative.

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

A:

Q: d Use the chain rule to calculate f(x) if f(x) In (1+ tº) dt. dx, 0. f(x) =

A: let's use chain rule and find derivative of integral.

Q: dx Use the chain rule to find () in terms of x and y dy 2 y = ( and X = t2 at t= 2

A:

Q: If f(x, y, z) = 2x5 + 3y5 - 8x3y²z², what is the partial derivative of f with respect to x? (A 10х4…

A:

Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

A:

Q: Find the first partial derivatives of the function. R(p, q) = tan-1(pq5) Rp(p, q) Ralp, a)

A:

Q: Find the linearization of x = -1 f(x) = 3+ S sec(t – 1)dt at

A:

Q: Use the Chain Rule to evaluate the partial derivative at the point specified. ag at s = 9, where…

A:

Q: Suppose that f(0) = 1, ƒ(0.5) = 2.5, f(1) = 2, and f(0.25) = f (0.75) = a. Using trapezoidal rule…

A:

Q: Solve for the indicated higher-order partial derivatives, fæx, fæy, fyy- · f(x, y) = Vx² + y?

A:

Q: Find the partial derivative with respect to z of the function (3a – 2)e2y-5 In(-5z - 1).

A:

Q: Use the Chain Rule to find dz / dt or dw/ dt.(odd) z = xy3 - x2y, x = t2 + 1, y = t2 -1

A:

Q: ди + 3x- = 1 + u, dx ди -co 0, dt u(x, 0) = f(x).

A:

Q: Use the Quotient Rule to compute the following: t2 + 1 at t = -2 dt \ t2

A:

Q: Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the…

A: Given functions are

Q: Use the chain rule to calculate the partial derivatives of the function f(1,y) = sen (r2 – 0²) +…

A: We will find out the required value.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.