Download Show all necessary work in a neat and orderly manner.

Q#3H
Math020
Ch 8.2, 8.3, 8.4
#1 #2 #3 #4
8 12 10 20
Name
/50
date
Show all necessary work in a neat and orderly manner.
Show all algebraic steps using a sequence of equal expressions. Simplify answer.
௕
‫ܪ‬ሺ‫ݖ‬ሻ݀‫ݖ‬
௔
ൌ
[#1]
Write the definition of this integral: ‫׬‬
[#2]
Write the integral which would calculate the exact volume when the region bounded by the x-axis and the
function f(x) and the vertical lines x = 2 and x = 5 is revolved about the x-axis. f(x) = 30x2
Do NOT integrate.
[#3] The intensity of the reaction to a certain drug, in appropriate units, is given by R(t) = t·e-0.4t, where t is time (in
hours) after the drug is administered. Write the integral expression which would calculate the average
intensity during the 11th, 12th, and 13th hours. Do NOT integrate.
[#4] Income Stream problem: use the variables as described in class.
On graduating from college you plan on saving money each year at a rate of $4000·1.03x per year. If the
current continuous interest rate is 4% then how much will be in your savings account in seven years? How
much of this is earned interest?
Show ALL appropriate formulas clearly identified. Use fnInt to evaluate all integrals. Answer for
amount in your
Calculate all the values we usually do in these problems in class.
account.
Answer for
earned interest.
Q#3K
Math020
Ch 8.2, 8.3, 8.4
#1 #2 #3 #4
8 12 10 20
Name
/50
date
Show all necessary work in a neat and orderly manner.
Show all algebraic steps using a sequence of equal expressions. Simplify answers.
௕
‫ܭ‬ሺܶሻ݀ܶ
௔
ൌ
[#1]
Write the definition of this integral: ‫׬‬
[#2]
Write the integral which would calculate the exact volume when the region bounded by the x-axis and the
function f(x) and the vertical lines x = 3 and x = 7 is revolved about the x-axis. f(x) = 21x2
Do NOT integrate.
[#3] The intensity of the reaction to a certain drug, in appropriate units, is given by R(t) = t·e-0.6t, where t is time (in
hours) after the drug is administered. Write the integral expression which would calculate the average
intensity during the 8th, 9th, and 10th hours. Do NOT integrate.
[#4] Income Stream problem: use the variables as described in class.
On graduating from college you plan on saving money each year at a rate of $6000·1.04x per year. If the
current continuous interest rate is 3% then how much will be in your savings account in eight years? How
much of this is earned interest?
Show ALL appropriate formulas clearly identified. Use fnInt to evaluate all integrals. Answer for
amount in your
Calculate all the values we usually do in these problems in class.
account.
Answer for earned
interest.
Q#3H
Math020
Ch 8.2, 8.3, 8.4
#1 #2 #3 #4
8 12 10 20
Name
/50
date
Show all necessary work in a neat and orderly manner.
Show all algebraic steps using a sequence of equal expressions. Simplify answer.
௕
‫ܪ‬ሺ‫ݖ‬ሻ݀‫ݖ‬
௔
ൌ
[#1]
Write the definition of this integral: ‫׬‬
[#2]
Write the integral which would calculate the exact volume when the region bounded by the x-axis and the
function f(x) and the vertical lines x = 2 and x = 5 is revolved about the x-axis. f(x) = 30x2
Do NOT integrate.
[#3] The intensity of the reaction to a certain drug, in appropriate units, is given by R(t) = t·e-0.4t, where t is time (in
hours) after the drug is administered. Write the integral expression which would calculate the average
intensity during the 11th, 12th, and 13th hours. Do NOT integrate.
[#4] Income Stream problem: use the variables as described in class.
On graduating from college you plan on saving money each year at a rate of $4000·1.03x per year. If the
current continuous interest rate is 4% then how much will be in your savings account in seven years? How
much of this is earned interest?
Show ALL appropriate formulas clearly identified. Use fnInt to evaluate all integrals. Answer for
amount in your
Calculate all the values we usually do in these problems in class.
account.
Answer for
earned interest.
Q#3K
Math020
Ch 8.2, 8.3, 8.4
#1 #2 #3 #4
8 12 10 20
Name
/50
date
Show all necessary work in a neat and orderly manner.
Show all algebraic steps using a sequence of equal expressions. Simplify answers.
௕
‫ܭ‬ሺܶሻ݀ܶ
௔
ൌ
[#1]
Write the definition of this integral: ‫׬‬
[#2]
Write the integral which would calculate the exact volume when the region bounded by the x-axis and the
function f(x) and the vertical lines x = 3 and x = 7 is revolved about the x-axis. f(x) = 21x2
Do NOT integrate.
[#3] The intensity of the reaction to a certain drug, in appropriate units, is given by R(t) = t·e-0.6t, where t is time (in
hours) after the drug is administered. Write the integral expression which would calculate the average
intensity during the 8th, 9th, and 10th hours. Do NOT integrate.
[#4] Income Stream problem: use the variables as described in class.
On graduating from college you plan on saving money each year at a rate of $6000·1.04x per year. If the
current continuous interest rate is 3% then how much will be in your savings account in eight years? How
much of this is earned interest?
Show ALL appropriate formulas clearly identified. Use fnInt to evaluate all integrals. Answer for
amount in your
Calculate all the values we usually do in these problems in class.
account.
Answer for earned
interest.