Final_Exam_Solutions calc1

# Final_Exam_Solutions calc1 - Math 115 Final Exam Name...

• Notes
• 10

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

2 1. (2 points each, no partial credit) For the following statements circle True or False. Circle True only if the statement is always true. (a) If y is differentiable for all x , then the value of y ( x ) is a unique number for each x . True False (b) The only antiderivative of cos( x ) is sin( x ). True False (c) For a continuous function f on the interval a x b , if the left-hand sum and the right-hand sum are equal for a given number of subdivisions, then they are equal to integraldisplay b a f ( x ) dx. True False (d) For the continuous function f , if the units of t are seconds and the units of f ( t ) are meters, then the units of integraldisplay 1 0 f ( t ) dt are meter seconds. True False (e) For any function f , if lim x 3 f ( x ) = a and lim x 3 + f ( x ) = a, then f (3) = a. True False
3 2. (12 points) Suppose that f and g are continuous functions and integraldisplay 2 0 f ( x ) dx = 5 and integraldisplay 2 0 g ( x ) dx = 13. Compute the following. If the computation cannot be made because something is missing, explain clearly what is missing.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Spring '08
• BLAKELOCK
• Math, Derivative, Continuous function, dx, Octavius, Coast Guard station

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern