MAE 3310 FINAL PAPER 2026 QUESTIONS
AND SOLUTIONS EXAMPREP GRADED A+
▶ Find the point on the line y = 4x+8 that is closest to the origin.. Answer:
(-32/17, 8/17)
▶ Use Newton's method with the specified initial approximation x1 to find
x3, the third approximation to the root of the given equation.
x2=ex+1, x1 = -1
(Give your answer to 4 decimal places). Answer: -1.1478
▶ A particle is moving with the given data. Find the position of the particle.
v(t) = sin(t)-cos(t), s(0)=0. Answer: 1-cos(t)-sin(t)
▶ Use the Midpoint Rule with n = 5 to approximate the integral.
sinxdx
The choices are rounded to 3 decimal places.. Answer: 2.186
▶ Use the Simpson Rule with n = 6 steps to approximate the integral .
Round your answer to 2 decimal places.
x 2 2.5 3 3.5 4 4.5 5
f(x) 3 2 8 5 7 3 4. Answer: 12.83
▶ Find an equation of the tangent line to the parabola y =x2 at (-2, 4).
Answer: y = -4x - 4
▶ The displacement (in feet) of a certain particle moving in a straight line is
given by s = t3+2t where t is measured in seconds. Find the average
velocity over the interval [1.5, 2].. Answer: 11.25 feet per second
▶ 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
AND SOLUTIONS EXAMPREP GRADED A+
▶ Find the point on the line y = 4x+8 that is closest to the origin.. Answer:
(-32/17, 8/17)
▶ Use Newton's method with the specified initial approximation x1 to find
x3, the third approximation to the root of the given equation.
x2=ex+1, x1 = -1
(Give your answer to 4 decimal places). Answer: -1.1478
▶ A particle is moving with the given data. Find the position of the particle.
v(t) = sin(t)-cos(t), s(0)=0. Answer: 1-cos(t)-sin(t)
▶ Use the Midpoint Rule with n = 5 to approximate the integral.
sinxdx
The choices are rounded to 3 decimal places.. Answer: 2.186
▶ Use the Simpson Rule with n = 6 steps to approximate the integral .
Round your answer to 2 decimal places.
x 2 2.5 3 3.5 4 4.5 5
f(x) 3 2 8 5 7 3 4. Answer: 12.83
▶ Find an equation of the tangent line to the parabola y =x2 at (-2, 4).
Answer: y = -4x - 4
▶ The displacement (in feet) of a certain particle moving in a straight line is
given by s = t3+2t where t is measured in seconds. Find the average
velocity over the interval [1.5, 2].. Answer: 11.25 feet per second
▶ 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
