Please show work! Consider the shaded region, enclosed the given curves: y= x+2, y=-x+2,y=x^2

1. (MC) Consider the shaded region, enclosed by the given curves: y = x + 2, , y = -x + 2, y = x2 , x 2 0. Set up (but do not evaluate) an integral expression to find the area of the shaded region. A. l (zy)dy+l(y2)dy B- cat\" xZ(Zx)dx+:[x2(x+2)dx C. sz(x+2)(x+2)dx D. cal1rd 0(2y)dy+lJE(y2)dy 2. A cyclist rides down a long straight road at velocity v(t) : 40020t (meters per minute) for 0 St 310 , where t is measured in minutes. How far (meters) has the cyclist traveled when her velocity is 340 meters/minute? 3. Suppose a particle moves along a straight line with velocity 12(1), measured in feet per second, and acceleration a(t). 120 a. What is the meaning of I v(t)dt ? 60 120 b. What is the meaning of I|v(t)| dt? 60