Question 6 8(x,z) = 2xz+3z-x X-Z Let f(x,z)= Z. 2z2–3 Blank 1: Find the total differential of f(x,z) evaluated at: x=2, z=1, dx=2, dz=1 Blank 2: Find the total differential of g(x,z) evaluated at: x=2, z=1, dx=2, dz=1 Blank # 1 Blank # 2

Q: The integer n = 12700140x3243243 is missing the digit x. a) If n congruent to  3 (mod 9), then what…

A: According to the given information, Consider the given integer n:

Q: Which of the following is a possible value of the gradient V f of a function f (x, y) of two…

A: The gradient of f(x,y) is given by:

Q: Find the directions in which f increases and decreases most rapidly at point P. Then find the…

A: As per guidelines, we will solve first question only.

Q: ctan x (2) Let h(x) = t dt, calculate h'(T/3). ww. t2 + 2

A: Solve the following

Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: What is the gradient of the function f(x) = 5 sin(5x) A sin(5x) - sin(5x) E B 25 cos(5x) F -cos(5x)…

A:

Q: U(x,y)=(x+2)^2(y+3)^3 Find the partial derivative of x and y

A: U(x,y)= (x+2)2(y+3)3We have to find partial derivative of x and y

Q: at the point (In 12,2) Find the gradient for the function f(a, y) = y'xe # Find exact values. No…

A: The given function whose gradient is to be calculated at a given point is:

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: 6z²–2z Find the derivative of f(z) = " z + 0 . Select one: 6z-12 O f'(z) = O f'(z) = 6–12z %3D 6–2z…

A:

Q: What is the maximum rate of change of f(x, y) (2,0) 2x+2y 4x²+4y2 2 0 None of the above x²+y at the…

A: at the point

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described by the…

A: Function, Tx, y, z=x2y+y2z

Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

A:

Q: Find all the first and second order derivatives of the function f(x, y) = x³ ln(y) + xy + x³y² + 4x…

A: