Suppose f is continuous, f(0)=0, f(2)=2, f'(x)>0 and f (x) dx = 1. Find the value of the integral fro f-?(x) dx =?
4- Find f'(x) if f(x) is the given expressions. i) f (x ) = zsin ">" + ln cosh - 4x ii) f(x) = tanh-- 4x etanh4x
Determine Laplace Transform of f(t) = e-3* u(t) for Re(s + 3) >0. s S + 3 1 S + 3 O 1 S-3 3 S- 3
Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor
(1 point) Let Solve the differential equation using Laplace transforms. t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) ft 4T y(t) = ift>4 -cos(4t)/16+1/16+3/4sin(4t)+4cos(4t)
QUESTION 9 Find the Laplace Transform of f(t)= - 1 if ts 4; f(t) = 1 if t> 0.
Problem 8. (1 point) If z2 = x2 + y2 with z > 0, dx/dt 4, and dyldt = 5, find dzldt when x = 12 and y = 35. dz Answer: dt =
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
8. Consider ar? +5 I <3 f(0) = 12.c +b > 3 Determine a and b such that f is continuous and differentiable at x = 3. )={
Problem 3.a. (4 pt) Find the Laplace transform of f(t) = | 1, for 0 <t<1 5, for 1 <t< 2 le-t for t > 2