Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
(1 point) i * f(x) dx = 3 and ' s(x) dx = 4, what is the value of [ f(xBC) da where D is the rectangle: 3 < x < 4, 3 sy s 7?
x" dx TC 15. (a) So 1 + x x for 0 < a < 1. sin πα
Question 9 Evaluate the integral f(x) dx where 203 f(x) = for x <1 for x > 1 6 7 4 5 3 O2 11 2
Question 9 Find 5x+1 f(x) dx given that f(x) = { 3-x 0<x< 1 1<x<3 =la ole ala ala T
x(0)=1, x'O)= 0, where f(t) = 1 if t< 2; and f(t) = 0 if Find the solution of X"' + 2x' + x=f(t), t> 2.
(1 point) Evaluate the definite integral. | << + 1)e+2+28-3 dx =
Evaluate & Fodr, where F(x, y, z) = (y² -2 2,5x) and C: 714) =<t", t, -tº), -15ts 1.
1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)
Question 5 (1 point) S2x4, Let f(2) - <x< 0 5 sin(x), 0 < x < Evaluate the definite integral [ f(x) f(x)dx. 5 O + 10 873 - 10 O 1/25 - 10