8. State the transformations applied to y = f(x). a) y = -3f(x) b) y = f(2x) – 7 c) y = f(-x) d) y = f(x+3)

Q: Evaluate the indicated partial derivatives. f(x, y) = 625x¹ - 3³ fx(5,3)= fy(5,3)=

A: Solution ) f ( x , y ) = 625 - x4 - 3y3 Partial differentiate with respect to  x  fx = ∂/∂x (625) -…

Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative

Q: 5.6 8.7 Find the four second-order partial derivatives for f(x, y) = 7x°y° + 3x°y".

A: To find the second order partial derivatives

Q: Prove that converting the Higher-Order derivatives to the finite difference formula would be: f(xi)…

A: Solution: (1) f''xi=fxi-2fxi-1+fxi-2∆x2 We know that f'x=fx-fx-∆x∆x and fxi-1=fx-∆x,  fxi-2=fx-2∆x…

Q: and the parmial 58. Find the value of ax/az at the point (1.-1.-3) if the equation +y Inx + 4 = 0…

A:

Q: 2. Compute F-dr where E= (x+ y,x-2z,z- y) and curve C is the line segment from (-3,5,1) C to…

A: Using line segment as the base of a rectangle, we choose the height to be the height of the surface…

Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y)…

A: Please see the below picture for detailed solution for detailed solution.

Q: Find the first partial derivatives of the function. w = In(x + 2y + 7z) %3D aw Əx aw ду aw %3D az II…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the four second partial derivatives of the following functic f(x.y) = y* cos 5x

A:

Q: 37. f(x,y) = 9-x² – 7y³; f.(3, 1), fy(3, 1)

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Q3:Find all the second order partial derivatives of the f(x, y) = 2x*- 5x'y3-y

A: Given: A function fx,y=2x4-5x3y3-y3. First, find first-order partial derivatives fx by…

Q: Find the first partial derivatives of the function. z = (7x + 8y) az !! ax %3! ду

A:

Q: 12. Please help me solve all parts to this calculus problem

A: Let's find.

Q: could I get help finding all the 2nd order derivatives please

A:

Q: Find the Linearization L(x) of y = (1+x)¬1/² at a = 8. L(x) = %3D

A:

Q: Compute the partial derivative if z = A) - 3ry? B) 1 C) D) Does not exist.

A:

Q: Find the first partial derivatives of the function. w = In(x + 3y + 6z) %3D

A: Given, The function, W = ln(x + 3y + 6z)

Q: If f is a function of three variables that has continuous second-order partial derivatives, then…

A: This question  is based on a simple theorem

Q: 1 A point is moving along the graph of the functiony = dy 9x2 + 6 such that dt = 3 centimeters per…

A:

Q: 3.4 Find the first partial derivatives of f(x, y) = 7x°y* + 9x y° +3. df = 21x y" + 18xy dx of %3D…

A: solution

Q: Find the Partial Derivatives of the fun 6) f(x,y,z)= e %3D

A:

Q: 6.4 Find the four second-order partial derivatives for f(x, y) = 6x°y° + 2x°y*. 5.8 fxx = XX fyy fry…

A: The given function: f(x,y)=6x5y8+2x6y4

Q: 16) Compute the first and second-order partial derivatives for f(x, y) = x²y³ + x + y² − 3

A:

Q: 2. IShow, using the definition of the derivative, that the function f(x, y) differentiable at every…

A:

Q: 7. Let f(x, y) = 10x³y* + 21xy². Find fyyy. .3,4

A:

Q: Find the partial derivative with respect to x of the function 4 x 4y – 4/-5 z – 3. 10 z 4y-4 V-5 z-3…

A:

Q: 2.2 11, IfF = xyz\+x*y°z}+ xyz k then find div F at (2, 1, – 3).

A:

Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

A:

Q: 1. Use the definition of partial derivative as the limit of a difference quo- tient in order to…

A:

Q: Compute the partial derivative of h(x, z) = e4xz-3x²z. (Use symbolic notation and fractions where…

A: In this problem first we need to partially differentiate the function with respect to z and then put…

Q: Suppose that the real variables p, v, t, and u satisfy the equations f(p, v, t, u) = 0, g(p, v, t,…

A: Given that the real variables p, v, t and u satisfy the equations fp,v,t,u=0,    gp,v,t,u=0 We need…

Q: Find the first partial derivatives of the function. z = (8x + 7y)5 Əz ax az %3D Əy

A:

Q: ,7. Find the four second-order partial derivatives for f(x, y) = 9x°y° + 6x'y 8,6 Txx %D fy %D Txy…

A: Four partial derivatives are given below

Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

A:

Q: Find all second-order partial derivatives for the following. 5 6,5 4.7 R(x,y) = 6x° – 8x°y$ + 3x*y7…

A: We have to find derivative

Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

A:

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Compute the indicated partial derivative. g(x, у) %3 сos(x + ) 9xxy

A:

Q: Confirm that the mixed second-order partial derivatives of f are the same. f (x, y) = 5 In(x² + y²)…

A: Given:    f(x,y) = 5 ln ( x2 + y2 )

Q: 4. Find all the second-order partial derivatives of f(x, y) = 2ry In(r+ y).

A:

Q: 2. Suppose that z is a function of a and y, and F(x2 - y², xy - 2², yz - 2²) = 0. Calculate and…

A: Solution :

Q: Q3:Find all the second order partial derivatives of the f(x,y) 2x* - 5x'y3-y3

A:

Q: 1. Use the definition of partial derivative as the limit of a difference quo- tient in order to…

A:

Q: Q3:Find all the second order partial derivatives of the f(x,y) = 2x*- 5x'y-y3

A: the given function is  f(x, y) = 2x4 - 5x3y3 - y3

Q: 7.5 Find the four second-order partial derivatives for f(x, y) = 3x*y® + 8x°y$. "yx

A:

Q: Find all the second order partial derivatives of the given func f(x.y) = xy2 + yex + 5 A.

A:

Q: Find the 1st partial derivatives of z=(4x+6y)^11

A: Here we have to find partial derivatives by differentiating it with respect to x ( keeping y…

Q: (b) Form the partial equation by eliminating function f from z = f(x?

A: