Part 1: True and False (5 marks total, 0.5 marks each) In each of the following, indicate whether the statement is true (T) or false (F) in the blank space. 1. fo (x - r') do represents the area below the curve y = I and above the z-axis minus the area below the curve y = 23 and above the r-axis from r = 0 to r = 1. 2. The area of the region bounded by the curves y = x and y = sin(2) and the lines x = 0 and I = 1/2 is 72/8 -4. 3. The square root in the formula for are length usually makes solving the integral by hand-calculation very difficult. 4. A first-order linear differential equation of the form y' + f(x)y = g(x) (where f and g are continuous) with one initial condition always has exactly one solution. 5. y = A + Cekz is a solution to the differential equation y' = k(y - A). 6. The equation P(t) = Cek where k 0 and the population decreases. 10. Using the model of the logistic growth differential equation, P'(t) = kP(M - P), if the population P is equal to M, the population will have reached equilibrium since the population growth P'(t) will be 0