Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Average Temperature - Calculus Two for Biological Sciences - Exam, Exams of Calculus

This is the Exam of Calculus Two for Biological Sciences which includes Numerical Sum, Approximation, Midpoint Rule, Terms, Modeled, Type Equilibrium Points, Starting Population etc. Key important points are: Average Temperature, Solid, Revolved Around, Region Bounded, Maintain, Rare Reptiles, Temperature Profile, Integrals, Being Drained, Water Is Left

Typology: Exams

2012/2013

Uploaded on 02/18/2013

abhaya
abhaya 🇮🇳

3.5

(11)

167 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Midterm 1, Math 30, Fall 2008, 10/6/08
1) Find the volume of a solid when the region bounded by )sin(xy
=
and y=0 is
revolved around the y-axis (10 pts)
2) An enclosure for rare reptiles must maintain an average temperature of 30C. The
temperature profile during the day is given by )
48
cos()( tTtT m
π
= where t is in hours.
Find Tm so that the average temperature during 24 hours is 30C. (10 pts)
Evaluate the following integrals: Answer must be in terms of x
3) dx
x
x1
2 (10 pts)
4) +
+dx
x
x
x
6
53
2 (10 pts)
5) A tank with 2000 gal of water is being drained at the rate given in the diagram. How
much water is left in the tank after 50 min ? (12 pts)
Time (min)
gal/min
Drain rate
30
30 60

Partial preview of the text

Download Average Temperature - Calculus Two for Biological Sciences - Exam and more Exams Calculus in PDF only on Docsity!

Midterm 1, Math 30, Fall 2008, 10/6/

  1. Find the volume of a solid when the region bounded by y = sin( x )and y=0 is

revolved around the y-axis (10 pts)

  1. An enclosure for rare reptiles must maintain an average temperature of 30C. The

temperature profile during the day is given by ) 48

T ( t ) Tm cos( t

= where t is in hours.

Find T (^) m so that the average temperature during 24 hours is 30C. (10 pts)

Evaluate the following integrals: Answer must be in terms of x

dx x

x 1

2 (10 pts)

dx x x

x

6

2 (10 pts)

  1. A tank with 2000 gal of water is being drained at the rate given in the diagram. How

much water is left in the tank after 50 min? (12 pts)

Time (min)

gal/min

Drain rate