Learning Calculus: Basics & Homework Help Final Exam

Free Practice Test Instructions:

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

Question 1 1. Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.

Question 2 2. What is the volume of the cube created by taking two 6 by 2 strips of paper, folding them into thirds, and using each third as a side of the square?

Question 3 3. What is the volume of a hemisphere with a radius of 3cm?

Question 4 4. What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?

Question 5 5. Find the rule for this series: 2 + 6 + 18 + 54 + ...

Question 6 6. What's the difference between a sequence and a series?

Question 7 7. What is the 83rd term of the sequence 91, 87, 83, 79, ... ( = a1, a2, a3, a4, ...)?

Question 8 8. The formula for a finite geometric series is:

Question 9 9. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

Question 10 10. Which of the following is a point on the function y = 3x - 2?

Question 11 11. What is the point-slope form of the equation that goes through the origin and has a slope of 1.5?

Question 12 12. Consider the slope of the lines given by the following functions. Which function has the steepest slope?

Question 13 13. Consider the region bound by the x-axis, the y-axis, and f(x) between 0 and 4. What is an equation for the area of this region?

Question 14 14. What is the equation for the volume enclosed by revolving the area between f(x) and g(x) (where f(x) < g(x)) around the x axis between x=a and x=b?

Question 15 15. Consider the region bound by the x-axis, the y-axis, and f(x) between 0 and 4. What is the area of this region?

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Learning Calculus: Basics & Homework Help Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

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