Solve the problem. Points: 2 10) If s is a distance given by s(t) = 3+4...
Homework help: Solve the problem. 4) A car's distance s in miles from its starting point after t hours is given by s(t) 612 Find the average rate of change of distance with respect to time (average velocity) as t changes from t1 2 to t2 6. Solve the problem. 4) A car's distance s in miles from its starting point after t hours is given by s(t) 612 Find the average rate of change of distance with respect to...
Ifs is a distance given by s(t) = 5tº + 27 + 4t, find the acceleration, a(t). O A. a(t) = 30t +4 O B. a(t) = 34t + 4 OC. a(t) = 15t? + 4t OD. a(t) = 301
problem 7 Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
At time t in minutes, an object's distance from a point is given by s(t) - 2+5 inches. Use this information to answer the questions below. (a) Find the average velocity of the object between t - 1 and t - 3 minutes. Give an exact answer. Average velocity - --Select v (6) Which of the following represents the mathematical definition of s'(3)? s(3) - lim (213+ + 5) - (e2+ + 5) os(3) - lim (M+ 5 + )...
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.)
[-12 Points] DETAILS Solve the given initial-value problem. 1 -4 -6 X' 2 -3 X, X(0) = 1 1 -2 1 -( W NU -3 X(t) = Submit Answer [-12 Points] DETAILS Solve the given initial-value problem. x = $ =)x, x(0) = -(-3) X(t) =
3. [-/10 Points] DETAILS SCALCET8 13.2.017. Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = - 3t, 1 + 4t, = { + t = 4 T(4) =
1-4 1. If the velocity of a particle is given by v(t) = 4t + 4 and s(l) = 2, find the particular position function s(t). 2. Find f(x) if f'(x) = and f(2)= 0. 3. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 – x?, between x = 1 and x = 5 using 4 subintervals and the right endpoints of each subinterval for sample points. 4. If S* f(x)dx =...
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combination of Heaviside step functions а U(t - 3) + b U(t - 4) + с U(t - 9) Enter the constants a, b, and c (in that order) into the answer box below. (b) Find the Laplace transform F(s) = Pf()} for s 0. a, b, c (in that order), separated with commas....
[-/2 Points] DETAILS Find the general solution of the given system. 4 - 1 2 X' = -1 4 0 X -1 04 X(t) = Submit Answer [-/2 Points] DETAILS Solve the given initial-value problem. (1 -4 -6 X' = 1 2-3 X, X(0) = 1 -2 - 2 X(t) [-/2 points) DETAILS Solve the given initial-value problem. X' = 8 -1 5 +6)x, x(0) = (-3) X(t)