{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

exam1_solnf09

exam1_solnf09 - Math 116 First Midterm Name Instructor 1 Do...

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.

View Full Document
Math 116 / Exam 1 (October 14, 2009) page 2 1 . [10 points] Suppose that f ( x ) is an odd function, g ( x ) is an even function, and R 8 3 f ( x ) dx = 4 R 8 0 f ( x ) dx = 10 R 8 3 g ( x ) dx = - 2 R 3 - 3 g ( x ) dx = 5 Determine each of the following quantities, if possible. If there is not enough information to determine the answer, then write ”NI” in the space provided. You do not need to show your work for this page. a . [2 points] Evaluate R 8 3 ( f ( x ) - 3 g ( x )) dx . 10 b . [2 points] Evaluate R 0 - 8 g ( x ) dx . 0.5 c . [2 points] Evaluate R 8 3 f ( x ) g ( x ) dx . NI d . [2 points] Evaluate R 0 - 2 f (4 x ) dx . -2.5 e . [2 points] Evaluate R 3 0 ( f ( x ) + 4) dx . 18
Math 116 / Exam 1 (October 14, 2009) page 3 2 . [12 points] A population of creatures is placed on a small preservation space. Ten creatures are initially placed on the preservation. The time it takes for a population to reach C creatures is given by T ( C ) = Z C 10 20 dx x (400 - x ) , where T is measured in years after the creatures were ﬁrst placed on the preservation. a . [6 points] Find a function for T ( C ) by analytically solving the integral given above. Be sure to show all appropriate work. Solution:

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 10

exam1_solnf09 - Math 116 First Midterm Name Instructor 1 Do...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online