T (1 point) Evaluate f(x) dx, where J12) f(x) = { 2.2 -ASX < 0 | 3 sin(x), 0 < x < 1. [fle) de =
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
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
1. Let x, a € R. Prove that if a <a, then -a < x <a.
(1 point) Solve the nonhomogeneous heat problem U; = Uxx + sin(4x), 0 < x < 1, u(0, t) = 0, u(a,t) = 0 u(x,0) = - 3 sin(2x) u(x, t) = Steady State Solution limt700 u(x, t) =
1. Given the piece-wise function, 3x if x < 0 f(x)=x+1 if 0 < x 52 :- 2)2 if x>2 Evaluate f (__); f(0); f (); f(5)
solve for c such that f(x,y) is a valid density function. Seiten f(x, y) = 1<x<y <3 otherwise 0,
реттеу 0 x<-1 2 -1<x<0 fx) -X + 2 0<x<1 0 X>1 The coefficient 4 of Fourier integral representation associated with the above given function can be computed as sin w O A3 + 1 - COSW 2 TW TW COSW OB W sin w Ос 2 TW sin w 1 + COSW OD 3 TW TW COSW sin OE TW
1. If f(x) is a Density Function, what is the value of k? Skr3, 0<x<1, f(0) 0, elsewhere.
9. in degree. Oº so < 360°. Round to two decimal cot O = 2.34 and sin 0 <0 find places in degrees and 0 se < 360° round to one decimal place. There 8. sec 0 = -2.5 find are two solutions