
Suppose f is continuous, f(0)=0, f(2)=2, f'(x)>0 and f (x) dx = 1. Find the value...
2. For f(x) = f(x) = $2x+5, Xs1 14 + 3x, x>1 a. Find f (1) b. Find lim f(x) X1 C. Is f(x) continuous? Why, or why not?
Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor
dx Determine x= f(t) for (t? +4t) 4x + 4,t> 0; f(1) = 3. dt For (1? + 4t) dx dt = 4x +4, x= f(t) =
(1 point) If f(x) = { 6x, x39 8 x >9 Evaluate the integral 10 6.". f(x) dx |
Let f(x)= kx + 5 x-1 for x<2 for x > 2 . Find the value of k for which f(x) is continuous at x=2.
12. What value of c make the function f(x) = (x2 – 3x when x > 2 continuous when x = 2? 14x + 2c when x < 2 a)-5 b)-3 c) 0 d) 1
What is the solution of day 2 dy 1(1+1) dx² + xăx x² y = f(x = a) (a > 0). on the interval 0<x< 0, subject to the boundary conditions y(0) = y(0) = 0? / is a positive integer.
1. Graph the piecewise function f(0) = \8x – 13 – 2:2 – In (4 – x) +1 if x > 3 if x < 3 Hint: for the quadratic, try completing the square to find the vertex. For the log function, start by finding the domain.
1. Given a continuous random number x, with the probability density P(x) = A exp(-2x) for all x > 0, find the value of A and the probability that x > 1.
Let f : [0,1] → R be uniformly continuous, so that for every e > 0, there exists 8 >0 such that 2 - y<== f() - f(y)< € for every 2, Y € [0,1]. The graph of f is the set Gj = {, f(c)): 1 € [0,1]}. : Show that G has measure zero.