g(t) = t2 - 4t
a) g(-3) = (-3)2 - 4(-3) = 9 + 12 = 21
b) g(t) = -3
=> t2 - 4t = -3
=> t2 - 4t + 3 = 0
=> t2 - 3t - t + 3 = 0
=> t(t - 3) - 1(t - 3) = 0
=> (t - 3)(t - 1) = 0
=> t = 3, t = 1
Therefore, the solutions are t = 3, t = 1
solve ivp
yn(t) = G + Ge-4t 2
dy Solve the initial value problem (t+1). dt = y + (4t² + 4t) (t + 1), y(1) = 9 g(t) =
(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)
3. Solve the follwoing recurrences using the master method. (a) T(n) = 4T (n/2) + navn. (8 pt) (b) T(n) = 2T (n/4) + n. (8 pt) (c) T(n) = 7T(n/2) +n?. (8 pt)
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.
(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...
A. By hand, find the Fourier transform of g(t)-cos(4t)+ cos(5t) Page 2 of3 B. Now assume that g(t) can be observed for only a finite time, say T seconds. Then, t-T/2 what we observe is actually y(t) g (t)rect . Find (analytically) the Fourier transtorm of y(t). Write your answer in terms of sinc functions.
A. By hand, find the Fourier transform of g(t)-cos(4t)+ cos(5t) Page 2 of3 B. Now assume that g(t) can be observed for only a finite...
simplify (t^2-4t+3)^2
Let T(1) = 2, T(n) = 4T(n/2) + 2n use subsition to solve this recurrence problem.
Solve the recurrence relations: T(n) = 4T(n/2)+1 when n>2 and T(n) = 1 when n = 2. T(n) = 4T(n/4)+1 when n>4 and T(n) = 1 when n = 4