8 -2 Suppose that his continuous and that s nex) dx= 3 and (hex) dx= -...
QUESTION 14 Find the area of the region specified by the integral(s). Sol dxdy+ [*L* dx dx dy OA 32 OB 4 oc 8 OD 128 OE 64
C. Involving Partial fractions 4 z+ 2z + 3 S x2 + 5x – 14 dx in S2-6)(22+4) dz 4x - 11 dx iv) *342 + 4)(22 +7) 8 +t+6t2 - 12t3 dt.
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse response. (c) Determine its step response. (d) Is the stable? (a) Give two reasons why digital filters are favored over analog filters 5. (b) What is the main difference between IIR and FIR digital filters? (c) Give an example of a second order IIR filter and FIR...
Express the limit as a definite integral. n lim Σ 1P10k1 TCK' AXk, where P is a partition of [6, 12] 6 OA. 7x6 dx 12 n B. 7x dx 1 12 Oc. zxdx de 12 OD | 42x2 dx Find the derivative. to y = = S cos Vt dt 0 O A. cos (x3) O B. sin (x3) OC. 6x5 OD. cos (x3) - 1 cos (x3) Solve the initial value problem. dy = x(2+x2)), y(0) = 0...
QUESTION 8 | * 4* dx = O A. x(41) 4* In 4 +C In24 OB. (41) + In4 In24 to OC x2 (4*) 2(In 4) +C 4- OD. x(4+) In4 to In24 O E x 4" - 4* +C
Question 49 Solve the problem. Suppose that s* r«x) dx = 3. Find f(x) dx = 3. Find S* fix) dx and sfx) dx . 2 0; -3 4; 3 0; 3 3; -3 Question 50 Evaluate the integral. filt-far 0 등 O 626 0%
Jo (2-x) dx 12. (3pts) Let f(t) be a continuous function. Find the derivative of y = f(x).Sh(t) dt. 12
x = -6 28. Suppose that {$(x)dx=-6. Se (x)dx = 8 and !!) . Find ļ[3/(x)+8(*)]dx (x) dx = 8 . Finds d. 6 e. None of these a. -10 b. 11 c. 18 29. If 0-1 - 51+4 represents the rectilinear motion of a particle, the particle changes direction at what time? Assume is in seconds. a. 4.5 sec b. 2 sec C. 1.5 sec d. 2.5 sec e. None of these
Problem 3. Consider the following continuous differential equation dx dt = αx − 2xy dy dt = 3xy − y 3a (5 pts): Find the steady states of the system. 3b (15 pts): Linearize the model about each of the fixed points and determine the type of stability. 3b (15 pts): Draw the phase portrait for this system, including nullclines, flow trajectories, and all fixed points. Problem 2 (25 pts): Two-dimensional linear ODEs For the following linear systems, identify the...
Use the substitution formula to evaluate the integral. 1/2 COS X s dx (5+5 sin x) 0 3 OA 1000 OB 3 200 OC. 3 200 OD. 12 125