3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] 2 2 b. f (x) = x²√√√1+x³, [0,2]. c. f (x) = cos x sinx, [0, π]

Q: 3. Find , 9 for the functions: ax' ây sin(x³ + y* ) x* +y , (x,y) = (0,0) f (x.y) = .(x.y) = (0,0)

A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

Q: 5. (S.10). By using the second divided difference find f [1, 1.2, 1.4] for f (x) = e-a*; 6. (S.15).…

A: Since you have asked multiple question, we will solve the first question (5) for you. If you want…

Q: Find the smallest interval in x over which the functions sin(x/xo) and cos(Tx/xo) are orthogonal. On…

A:

Q: For the function f(x.y) = e 4xy, find f, and f,. f, =

A:

Q: The function f: x 1-> a + b cos x, is defined for 0sxs 2n. Given that f(0) = 10 and that %3D n)= 1,…

A:

Q: Find the absolute extrema (max and min) of the function f(x) = ex 2−4 on [ -1,2]

A:

Q: The function f(æ) = tanh I> 0 is equivalent to which of the following functions Select one: 2x -1 a.…

A:

Q: The derivative with respect to x of 2 cos (x² + 2) is A. 2 sin (x²+2) cos (x² + 2) -2 sin (x² + 2)…

A:

Q: Consider the function f(x)= sin(x) near x=0.2 Compute P2(0.4), P4(0.4) and P6(0.4) and find the…

A:

Q: find the (a) domain and (b) range.

A: As per guidelines, we are supposed to solve only first three questions. Please repost other…

Q: 1. Let f (x, y) = 3+ /1+x – y² a. Find f(0,0) b. Find the range of f. c. Find and sketch the domain…

A:

Q: -y . If f(x, y) is harmonic, show that f is x2 + y2' x2 + y2 also harmonic.

A: