Hence, in this way this
question can be easily solved.
x2 +7x+12 1. Consider the function: f(x)= x +3 a. Is this function continuous at x = -3? b. Does this function have a limit at x = -3? dito c. Is this function differentiable at x = -3? d. Sketch a graph of the function in the space below. Be sure to include all pertinent features.
9. [-14 Points) DET Consider the following. + 7x + 7; Find f'(x). f'(x) = Find F"(-1). f(-1) = Find the slope and an equation of the tangent line to the graph of the function f at the point (-1,-). slope equation y =
Problem # 1: Let 3-1x< . f(x) 7x 0 x1 The Fourier series for f(x). (an cosx bsinx f(x) n1 is of the form f(x)Co (g1(n,x) + g2(n, x) ) n-1 (a) Find the value of co. (b) Find the function gi(n,x) (c) Find the function g(n, x) Problem #2 : Let f (x ) = 8-9x, - x< I Using the same notation as n Problem #1 above, (a) find the value of co- (b) find the function g1(n,x)....
Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)
1 = 2 = 3 = 4 = 5 Given f (x) = x² +7x, (a) Find f(x+h) and simplify. f(x+h)-f(x) (b) Find and simplify. h Part: 0/2 Part 1 of 2 (a) f(x+h) = +O D-O X 5 Next Part Search here
Find the inverse function of f informally. f(x) = 7x f-1(x) = Verify that f(F-1(x)) = x and f-1(f(x)) = x. AF-1(x)) = f( = X f-1(f(x)) = f-1 7x = X Use the table of values for y = (x) to complete a table for y = f'(x). (Order your answers from smallest to largest x-value.) х -1 0 1 2 3 4 13 f(x) الميا 5 7 9 11 (x)
Find the smallest n so that f(x)=7x^3+5x^2 (logx )^3+2x+14 is O(x^n)
Find the degree 3 Taylor polynomial T3(x) of the function f(x)=(7x+50)4/3 at a=2Find the second-degree Taylor polynomial for f(x)=4x2−7x+6 about x=0thank you! (:
Question 7 7x - 21 Given f(x) = - x2- 7x + 12 a. Determine the domains of f(x) and g(x). b. Simplify f(x) and find any vertical asymptotes. c. Complete the table. ix) g(x)
Problem 3 (7 points) Define three functions A,A,As as follows: βί(x) = 0 whenever x < 0 and A(x)-1 whenever x > 0, Moreover we let A (0)-0, β2(0)-1 and A3(0) . Let f be a bounded function on [-1, 1] (a) Prove that f ER(B1) if and only if lim0+ f(x)-f(0). In this case prove that 1 『(0) elf, -1 (b) State and prove a similar result for A. (c) Prove that f ER(B3) if and only if f...