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Useful Identities - 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: Useful Identities, Integral, Given Substituion, Terms, Curve, Length of Arc, Free Response, Problem, Worth, Evaluate

Typology: Exams

2012/2013

Uploaded on 02/18/2013

abhaya
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Name: ________________________ Class: ___________________ Date: __________ ID: A
Midterm 2, Phys 30, March 21, 2008
Free Response
Each problem is worth 10 pts
Useful identities:
sin (
x
) + cos (
x
) = 1
2 2
sec (
x
) = tan (
x
) + 1
2 2
1. Evaluate the integral.
p
/ 2
d
sin cos
3 2
0
2. Evaluate the integral.
x
- 1
x
+ 2
x
d
x
2
3. Evaluate the integral.
1 0 0
t
ln
td
t
0
4. Evaluate the integral using the given substituion. Answer must be in terms of x.
x
3 dx ;
x
= 5tan
+ 25
x
2
5. Find the length of arc of the curve x = 0 to x = 8/9
y
= 2
x
- 1
3/ 2
1
pf2

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Name: ________________________ Class: ___________________ Date: __________ ID: A

Midterm 2, Phys 30, March 21, 2008

Free Response

Each problem is worth 10 pts

Useful identities:

sin ( x ) + cos ( x ) = 1

2 2

sec ( x ) = tan ( x ) + 1

2 2

  1. Evaluate the integral.

p / 2

d sin cos

3 2

0

  1. Evaluate the integral.

x - 1

x + 2 x dx

2

  1. Evaluate the integral.

1 0 0

t

ln tdt

0

  1. Evaluate the integral using the given substituion. Answer must be in terms of x.

x

3

dx ; x = 5tan

x

2

  1. Find the length of arc of the curve x = 0 to x = 8/

y = 2 x - 1

3/ 2

1