Evaluate the function for the given values of x. (-5x+4, for x<-1 x) = ), 2 + 3 1, for -1 5x</ 2 for x (a) f(-1): (b) f(3)
Find the derivative of the function y= 4 In 3x 2 + 5x 4(2 + 5x -5 In (3x)) y': x(2 + 5x)2
f(x) = 2x2 – 3, if x < 2 x2, if 2<x< 4 5x – 7, if x > 4 a) f(0) b) f(3)
pleasee use sign chart
(5x-2)(x+4)2 x-5 0.
4 - Let f(x) = 4 – 5x and g(x) = 2 4 be functions from R into R. Prove that f and g are inverse functions by demonstrating that fog=iR and go f = ir.
4. Divide x4 - 5x + 5x2 + 4x - 4 by x - 2 and express the result in quotient form. (T/C-3 Marks)
Q1 Given, f(x) = {x +1, 2 5x<4 4,0 < x < 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (b) Determine the Fourier cosine coefficients of Ql(a). (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b).
Q1 Given, f(x) = {x +1, 2 5x<4 4,0 < x < 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (b) Determine the Fourier cosine coefficients of Ql(a). (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b).
Given, f(x) = {x #1, 2 5x<4 4,0<x< 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Ql(a). (10 marks)
x² + 3x² – 5x+4, x<2 . d. The function h(x) = we want to use the trapezoidal rule for [-(x - 3)² + 15, xz2 approximating the area under the curve with 9 subintervals over the interval [0,5). When calculating leave a minumum of three decimal places. Mi 6-0 S