If possible, find k so that the following functions are continuous on any kx x≤2 4 x>2 a) f(x) = k= (2k cos(x) < 0 x

Q: Suppose we define a function f(x) by f(x) = a1 sin(x) + a2 sin(2x) +· + an sin(nx), .. for constants…

A:

Q: Show that the extreme values of f(x) = a sin x + bcos x tVa2 + b2. are

A:

Q: Which of the following functions are continuous on the interval 1 < x < 7? A. h(x) B. f(x) = 2² +²36…

A: In this question, we will check the given function is continuous.

Q: The function f(x) = 2x - √x if x ≤ 1 x²-1 x-1 2 if 1<x<2 Select one: O True False if x22 is…

A:

Q: Let f(x) sin() 10 if x #0 if x = 0 Show that f has the intermediate value property. That is,…

A:

Q: 2. Test continuity at x = 0 and x = 3 for the function (3 + 2x; - 3 3

A:

Q: Find a value for the constant c so that the function с if x < 8 f(x) = { x-10 6x 1 - if x ≥ 8 is…

A:

Q: Which of the following functions are not differentiable? O f(x) = x² - 3 o f(x) = |x| O f(x) = 10x…

A:

Q: 1. Find the value of c to make the following piecewise function continuous on the the interval (-o,…

A:

Q: The function f (x) = x sin is continuous on the interval (-1,1). O True O False

A:

Q: show that the following function analytic f(z) = 4e²+ Sin Z arp

A:

Q: Expand the following functions in terms of Legendre polynomials: (a) 35 (cos 0)4 (b) cos0 - (cos)³…

A: As per the norms, we will be answering the first three subparts. So, if you need an answer to others…

Q: 2- What value of c will make the following function continuous at x = 0? x3 f(x) = tan³ (3x) C x = 0…

A: To find the value of  that will make the following function continuous at .

Q: Find the values of a and b that make the following function continuous. 9x -C 9x if x 2 f(x) What…

A:

Q: 00 | f(x) cos axdx = S2 – a,0 2

A: Value of f(x)

Q: b. Find c that will make the following function continuous at x = (x³ – x - 2 if x 1 - -2x

A:

Q: Find x for which f(x) is not continuous: 3 x-1 f(x) =-+ x'x2 -1

A:

Q: S) Let f(x) = {x² –a²x if if x 2 . Find all value(s) of a that make f - ontinuous at 2. Justify your…

A: Given query is to find the values of a for which f(x) is continuous at x = 2