A forestry company plans to log a certain area of fir trees. The
average number of board feet obtained per tree is 50-0.5x where x is
the number of trees per acre with
. What density of trees
should be maintained to maximize the number of board feet per a
S 01 USE-(oh 190
_ Quiz 3
22M2016 Calculus for Biology
Version A
September 15, 2011
Name:
Discussion Section Number:
Problem 1. Determine
hm f(w + h) r)
h h,
for x) 2 7232.
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Quiz 1
22Mz016 Calculus for Biology
Version A
September 1, 201 1
Name: __ _..__
Discussion Section Number:
Problem 1. Find the equation of a line with slope m = 7 containing (1,7) Name:
Problem 2. Find the domain of 3oluctloo bo
Quiz
Abnormal Psychology
Psychology 203-01
Midterm Exam
The exam is worth 100 points with each question worth 10 points. Please be thorough in your response,
using complete sentences and in-text citations when appropriate. If you use in-text citations, then yo
Use differentials to approximate
Let
.
. We can approximate f using the formula:
Since we can easily calculate f(9), let x = 9 and
that
. Therefore,
Find the inverse of
.
To find the inverse, solve the following equation for y:
. Notice
Using the properti
Compute the derivative of
from the definition.
By definition, the derivative of a function f at a point x is given by the limit
.
Apply this definition to the given function:
.
Find the equation of the tangent line to
at
.
To simplify notation, write
. Th
CALC FOR BIO 9:30
NELSON ABDIEL COLON VARGAS
Quiz XII
(1) At each point 0 x 1 the cross section of a solid is a square with side
length x3 . Find the volume of the solid.
1 32
(x ) dx
0
=
1
0
x6 dx =
1
0
7
x6 dx = ( x )1 =
70
17
7
=
1
7
(2) Determine whet
CALC FOR BIO 9:30
NELSON ABDIEL COLON VARGAS
Quiz XI
(1) Evaluate
x2 cos(3x)dx
We proceed by integration by parts.
Let u = x2 and dv = cos(3x)dx. Then du = 2xdx and v =
sin(3x)
.
3
So by integration by parts our integral becomes:
(x2 )( sin(3x) )
3
1
3
x