# Prelim1 - Prelim 1 Math 1910 Calculus for Engineers...

This preview shows pages 1–2. Sign up to view the full content.

Prelim 1 – Math 1910 – Calculus for Engineers February 23, 2010 You have 90 minutes to complete this test. The test has 100 points. Calculators are not allowed. You should show all your work, and explain where calculations are coming from. Write clearly and legibly. Please write your name and the time you meet for recitation. 1 . (a) [5 pts] Find Z p 2 t 3 + 2 t 2 + 1 (3 t 2 + 2 t )( t 3 + t 2 ) dt. (b) [5 pts] Calculate d dx Z cos( x ) 1 (2 u + 1) du. (c) [5 pts] Calculate the average of the function f ( x ) = sin( x ) sin(cos( x )) over the interval [0 , π/ 2]. (d) [5 pts] Suppose you are given numbers a 1 , a 2 , . . . , a 10 and you are given the following information: (i) the average of the ﬁrst three numbers is 4; (ii) the average of the last four numbers is 2; (iii) 10 k =4 3 a k = 30. Compute 6 k =1 a k . 2 . Let R be the region in the ﬁrst quadrant enclosed by the curves x = y 2 + y , x = y + 1 and y = 0. (a) [8 pts] Calculate the area of

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.

## This note was uploaded on 10/31/2011 for the course MATH 1910 at Cornell University (Engineering School).

### Page1 / 2

Prelim1 - Prelim 1 Math 1910 Calculus for Engineers...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online