MAE 3310 EXAM STUDY GUIDE 2026
COMPLETE QUESTIONS WITH ANSWERS
GUARANTEED TO PASS
▶ Find f ' in terms of g '.
f(x) = x2g(x). Answer: f'(x)=2xg(x)+x^2g'(x)
▶ Calculate y ' by implicit differentiation
cos(xy) = x2 - y. Answer: None of the other choices is correct
▶ ind a linear approximation for f(x)=x2 at x = 1.. Answer: 2x - 1
▶ Find the critical numbers of the function
f(x) = (x2+1)e2x. Answer: None of the other choices is correct
▶ Find an equation of the line through the point (8, 16) that cuts off the
least area from the first quadrant.. Answer: y=-2x+32
▶ Use Newton's method with the specified initial approximation x1 to find
x3, the third approximation to the root of the given equation.
x5-x-10=0, x1=1.6.. Answer: 1.6336
▶ Use the Left-endpoint Rule with n = 3 to approximate the integral.
e^xdx
The choices are rounded to 2 decimal places.. Answer: 11.11
▶ 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
COMPLETE QUESTIONS WITH ANSWERS
GUARANTEED TO PASS
▶ Find f ' in terms of g '.
f(x) = x2g(x). Answer: f'(x)=2xg(x)+x^2g'(x)
▶ Calculate y ' by implicit differentiation
cos(xy) = x2 - y. Answer: None of the other choices is correct
▶ ind a linear approximation for f(x)=x2 at x = 1.. Answer: 2x - 1
▶ Find the critical numbers of the function
f(x) = (x2+1)e2x. Answer: None of the other choices is correct
▶ Find an equation of the line through the point (8, 16) that cuts off the
least area from the first quadrant.. Answer: y=-2x+32
▶ Use Newton's method with the specified initial approximation x1 to find
x3, the third approximation to the root of the given equation.
x5-x-10=0, x1=1.6.. Answer: 1.6336
▶ Use the Left-endpoint Rule with n = 3 to approximate the integral.
e^xdx
The choices are rounded to 2 decimal places.. Answer: 11.11
▶ 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
