MAE 3310 TEST BANK 2026 SOLVED
QUESTIONS AND EXAM SCRIPT FULL
SOLUTION
▶ Find the points at which f is discontinuous. At which of these points is f
continuous from the right, from the left, or neither?
x-2
x + 4. Answer: x = 0, continuous from the left
▶ If an arrow is shot upward on the moon with a velocity of 55 m/s, its
height in meters after t seconds is given by h=55t-0.04t2. Find the average
velocity over the interval [1, 1.04].. Answer: 54.9184
▶ Evaluate the Riemann sum for , with four subintervals, using left
endpoints.. Answer: 2.25
▶ Use Newton's method with the specified initial approximation x1 to find
x3, the third approximation to the root of the given equation.
x4-x+1=0, x1=3
(Give your answer to 4 decimal places). Answer: 1.7116
▶ An animal population is increasing at a rate of 13+51t2 per year (where t
is measured in years). By how much does the animal population increase
between the fourth and ninth years?. Answer: 11370
▶ The cost (in dollars) of producing x units of a certain commodity is C(x) =
280+13x+0.04x2. Find the average rate of change with respect to x when
the production level is changed from x = 35 to x = 60.. Answer: 16.8
▶ Find the antiderivative of the function.f(x) = 3cos x-6sin x. Answer: 3sin
x + 6cos x +C
QUESTIONS AND EXAM SCRIPT FULL
SOLUTION
▶ Find the points at which f is discontinuous. At which of these points is f
continuous from the right, from the left, or neither?
x-2
x + 4. Answer: x = 0, continuous from the left
▶ If an arrow is shot upward on the moon with a velocity of 55 m/s, its
height in meters after t seconds is given by h=55t-0.04t2. Find the average
velocity over the interval [1, 1.04].. Answer: 54.9184
▶ Evaluate the Riemann sum for , with four subintervals, using left
endpoints.. Answer: 2.25
▶ Use Newton's method with the specified initial approximation x1 to find
x3, the third approximation to the root of the given equation.
x4-x+1=0, x1=3
(Give your answer to 4 decimal places). Answer: 1.7116
▶ An animal population is increasing at a rate of 13+51t2 per year (where t
is measured in years). By how much does the animal population increase
between the fourth and ninth years?. Answer: 11370
▶ The cost (in dollars) of producing x units of a certain commodity is C(x) =
280+13x+0.04x2. Find the average rate of change with respect to x when
the production level is changed from x = 35 to x = 60.. Answer: 16.8
▶ Find the antiderivative of the function.f(x) = 3cos x-6sin x. Answer: 3sin
x + 6cos x +C
