Given s(t) = 2+ + 4t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) aſt) c) The velocity and acceleration when t= 2 sec a) v(t) = b) a(t) = c) When t = 2 sec, the velocity is (Simplify your answer.) When t = 2 sec, the acceleration is (Simplify your answer.)
Find the curvature of the curve r(t) = (3 cos(4t), 3 sin(4t), t) at the point t = 0 Give your answer to two decimal places Preview
Suppose g(t)=t^2-4t. a. Evaluate g(-3). b. Solve g(t)=-3
Problem 2.13. Simplify as far as possible. (a) (1 – t)2 + (2 + 2t)2 (b) (t + 1)2 + (-t - 1)2 – 2 (c) -t (write as a single fraction) (d) (2+t)2 + 4t
(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)
Find the length of the curve x=2/3t^3 , y=4t^2 on 0<=t<=3
Use MatLab to Solve x(t)=c1cos(4t)+c2sin(4t) (where c1 and c2 are constants) on the intervals t<(3pi/2), (3pi/2)<=t<9, 9<t<15 Please show all code.
use Fourier Transforms to convolve f(t) = e-2t u(t-2) and h (t) = e-4t u(t-3). Check your answer by performing the time-domain convolution.
use Fourier Transforms to convolve f(t) = e-2t u(t-2) and h (t) = e-4t u(t-3). Check your answer by performing the time-domain convolution.
(1 point) Let -13 Solve the differential equation using Laplace transforms ft S 4r t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) y(t) = 3/4sin(4t)+4cos(4t)-pi/4cos(4t)+pi/4 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 8 times. You received a score of 50% for this attempt. Your overall recorded score is 50%.
(1 point) Let -13 Solve the differential equation using Laplace transforms ft S 4r t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) y(t) = 3/4sin(4t)+4cos(4t)-pi/4cos(4t)+pi/4 Note: You can earn...
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) =