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Math 1111 Quiz 4 Practice Summer 2005: Solving Mathematical Problems - Prof. Robert J. Bro, Quizzes of Algebra

East Georgia College Algebra

Prof. Robert J. Brown Jr

Practice problems for quiz 4 in math 1111, focusing on topics such as logarithms, exponents, and calculus. Students are required to evaluate expressions, sketch graphs, and solve equations. Some problems involve the use of reference materials.

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

koofers-user-k3r 🇺🇸

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Math 1111 Quiz 4 Practice Summer 2005

Name: Last _________________, First _________________

1

1. Evaluate the expression. Round the result to three decimal places.

0 4 2 3

.−

2. Sketch the graph of the function.

f x

x

  =









2

5

3. The average atmospheric pressure P in pounds per square inch is

P e x

=14 7 21

.–0.

where x is the altitude in miles above sea level. Find the average atmospheric pressure for an

altitude of 4.1 miles. Round the answer to the nearest tenth.

4. Write the exponential equation in logarithmic form.

7 49

2=

5. The magnitude of an earthquake is

ME

=2

3 10

10 11 8

log .

where E is the energy released. If an earthquake released six times as much energy as an

earlier quake that released 1020 2. ergs of energy, find the magnitude of the newer quake to

the nearest tenth.

6. Evaluate the logarithm using the change-of-base formula. Find the value to three decimal

places.

log3 5 31

7. Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms. Then use a

graphing utility to sketch the graph.

f x x

=log5 4

Partial preview of the text

Download Math 1111 Quiz 4 Practice Summer 2005: Solving Mathematical Problems - Prof. Robert J. Bro and more Quizzes Algebra in PDF only on Docsity!

Name: Last _, First _

Evaluate the expression. Round the result to three decimal places. 0 4. −2 3
Sketch the graph of the function.

f x

x

=^

The average atmospheric pressure P in pounds per square inch is P = 14 7. e –0.^21 x where x is the altitude in miles above sea level. Find the average atmospheric pressure for an altitude of 4.1 miles. Round the answer to the nearest tenth.
Write the exponential equation in logarithmic form. 7 2 = 49
The magnitude of an earthquake is

M

E

log (^).

where E is the energy released. If an earthquake released six times as much energy as an earlier quake that released 1020 2.^ ergs of energy, find the magnitude of the newer quake to the nearest tenth.

Evaluate the logarithm using the change-of-base formula. Find the value to three decimal places. log3 5 31
Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms. Then use a graphing utility to sketch the graph.

f x = log5 4 x

Name: Last _, First _

Find the value of the expression without using a calculator. log 6 6 + log 6 36 −log 61296
Use the properties of logarithms to expand the expression. (Assume all variables are positive.)

log a xy z

3

The magnitude of an earthquake as measured by the Richter Scale is

R = 0 67. log 10 0 37. E + 146.

where R is the magnitude of the earthquake and E is the energy in kilowatt-hours released by the earthquake. Which magnitude corresponds to a release of 5 76. × 106 kwh of energy? [A] 6.0 [B] 5.1 [C] 6.6 [D] None of these

Solve for x.

ex^ = 4
log 10 x =– 5
Solve the exponential equation algebraically. Approximate the result(s) to three decimal places. 77 = 7 e 0 02. t
Find the value of x. Round to three decimal places.

ln 7 x − 4 =2 9.

Name: Last _, First _

[1]

[2]

x

y

–10 10

10

[3]

[4]

[5]

[6]

[7]

x

y

–10 10

10

Name: Last _, First _

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

Name: Last _, First _

Reference: [5.3.1.36]

[7]

f x x

=^

log

10

x

y

–10 10

10

Reference: [5.3.2.40]

[8] –

Reference: [5.3.3.44]

[9] log^ a^5 +^ log^ a x^ +^2 log^ a y^ −^3 log az

Reference: [5.3.4.46]

[10] [D]

Reference: [5.4.1.51]

[11] ln^4 ≈^1386.

Reference: [5.4.1.52]

[12] 0.

Name: Last _, First _

Reference: [5.4.2.56]

[13] 119.

Reference: [5.4.3.60]

[14] 47.

Reference: [5.4.4.63]

[15] 116 days

Math 1111 Quiz 4 Practice Summer 2005: Solving Mathematical Problems - Prof. Robert J. Bro, Quizzes of Algebra

Related documents

Partial preview of the text

Download Math 1111 Quiz 4 Practice Summer 2005: Solving Mathematical Problems - Prof. Robert J. Bro and more Quizzes Algebra in PDF only on Docsity!

Name: Last _________________, First _________________

=^

E

f x = log5 4 x

Name: Last _________________, First _________________

R = 0 67. log 10 0 37. E + 146.

Name: Last _________________, First _________________

[1]

[2]

[3]

[4]

[5]

[6]

[7]

Name: Last _________________, First _________________

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

Name: Last _________________, First _________________

[7]

=^

Name: Last _________________, First _________________

Name: Last _, First _

Name: Last _, First _

Name: Last _, First _

Name: Last _, First _

Name: Last _, First _

Name: Last _, First _