Given the joint density function ¤(1+3y²). 0< x < 2, 0 < y << 1, 4. f(x, y) = 10, elsewhere,

Q: Find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

A: To find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: Find the absolute extremum (if any) for the function

A:

Q: Find S f(x)dx if f(x) = [2 for x<2 [x for xz2

A:

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: Find the domain of (f • g) where f (x) and g (x) = Vx + 4.

A:

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

A:

Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: Find the local and global extremum values of the function f(x)=x²-3x+1 on the interval 0 ≤ x ≤ 2.

A:

Q: 1. Let f(x) = x² + 1. %3D (a) Compute f(0), f(-1), f(1/2), and f(/2). (b) For what values of x is it…

A:

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: Find the absolute extrema of the function f(x) = x3 − 3x2 − 24x + 5 on [−3, 6], if they exist as…

A: We have to solve given problem:

Q: f(x) = x³ – 3 %3D

A:

Q: (3х, if x 2 Find f(-5), f(0), f (1), f (2), f (5) 4.

A: