Given an f={(-5,4), (-3, – 2), (0, – 3), (-2, 0), (4, - 4)} dg={(-4, -3),...
Given bases B = {(2,-3).(5,4)} and B' = {(1,0),(0, 1)) for R2 and coordinate matrix [3] * [8] + [6] find the following two things. The transition matrix from B to B' The coordinate matrix x[*],
Given that f(x) = 4x + 3 and g(x)=x*, find (fog)(-4). (fog)(-4)=
1 Given f(x) = 5x² - 4 and g(x) = = 6 - find the following expressions. (a) (fog)(4) (b) (gof)(2) (c) (f o f)(1) (d) (gog)(0) (a) (fog)(4) = (Simplify your answer.) (b) (gof)(2) = (Simplify your answer.) (c) (f o f)(1) = (Simplify your answer.) (d) (g og)(0) = (Simplify your answer.)
Find f'(2), given -8 9 3 5 3 2 0 3 -8 8 f(3) = det 4 0 0 6 8 8 3 5 --5 1 0 0 0 3
4) [4 marks] Let f be the element of Se defined as follows: f(1) = 3, f(2)= 2, f(3) = 4, f (4) = 1, f(5) = 6, and f(6) = 5. Let g be the element of S& defined as follows: g(1) = 2, 9(2) = 3, g(3) = 1, g(4) = 6, 9(5) = 5, and g(6) = 4. Compute fog and gof.
Given the function f, evaluate f(-1), f), f(2), and f(4). Sx²-3 if x < 2 f(x) 6 + [x - 5] if x 2 2 f(-1) = f(0) f(2) f(4) = A car travels at a constant speed of 50 miles per hour. The distance, d, the car travels in miles is a function of time, t, in hours given by d(t) = 50t. Find the inverse function by expressing the time of travel in terms of the distance traveled....
The graph of f(t) is given below. 3 2 y 1 0 2 4 6 8 10 1 Find the Laplace transform F(s) = L{f(t)} by first expressing f(t) in terms of the Heaviside function. + -38 - 2745) + { (-32–35 –e-4-2-95) Correct Answer: C4 (8-38-2-45) – e-95) Your Mark: 0/2 Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 roblem #12 Your Answer: Žice+38–245) + { (+38738_e=4 e-95) Your Mark: 0/2x
Problem 3. 0 Figure 2 Given: f(t) = { 2.5, -1.5 <=<= 1.5 f(t) = { 0 otherwise See figure(2) above. A) Find the Fourier transform for f( (see figure 2) and sketch its waveform. B) Determine the values of the first three frequency terms (w1, W2, W3) where F(w) = 0. C) Given x(t) = 1.58(-0.8) edt Determine whether or not Fourier transform exists for x(t). If yes, find the Fourier transfe not explain why it does not. Problem...
2 0 f(x) g(3) 9 4 2 2 1 2 6 0 4 3 7 4 1 0 5 6 1 6 7 9 7 3 5 8 5 3 9 8 8 f(g(8)) = g(f(9)) = f(f(2)) = g(9(3)) = Question Help: Video Video Submit Question
Q4 (4 points) (a) (1.5p) Find f +g-h, fog, fog•h if f(x) = (x - 3, g(x) = x^, and h(x) = x* + 2 (b) 0(1p) Find the inverse of the function f(x) = 4x - 1 2x + 3 () (0.5p) Find f(-)) (c) Simplify: 0 (1p) In(a) + { ln(b) + Inc mais)