6. Use definition of continuity to determine the value(s) of k such that the 2х + 5, х< 3 function f (x) = kx – 1, x2 3 is continious at x = 3 [A: 4]

Q: Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of 2, and…

A:

Q: Find the domains of h(x)=1/(x3+1)1/3.

A:

Q: Let f (x) = 2x + 3. Compute R6 and L6 over [0, 3].

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: Let f: R2 R2 be the function given by f(x, y) = (x + y, y). Prove or →>> 8. disprove: f is…

A: Function which is one to one

Q: Determine the interval(s) over which f(x) = (x − 4)³ is concave downward. O a O b Od (-∞0, 4) (-∞,…

A:

Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b.…

A: Given problem:-

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

A:

Q: =) Which of the following functions are and /or IZI> 2: हन ii) 2²1 Z-√2+4 analytic in IZK< 2

A:

Q: fix+ h)-x) Compute (h 0) for the given function. f(x) =

A: Consider the function: fx=19x To calculate f (x+h), fx+h=19x+h