Chat with AIExam 6: Antiderivatives and Applications
Exam 1: Functions and Change204 Questions
Exam 2: Rate of Change: the Derivative132 Questions
Exam 3: Shortcuts to Differentiation178 Questions
Exam 4: Using the Derivative94 Questions
Exam 5: Accumulated Change: the Definite Integral93 Questions
Exam 6: Antiderivatives and Applications122 Questions
Exam 7: Probability68 Questions
Exam 8: Functions of Several Variables134 Questions
Exam 9: Mathematical Modeling Using Differential Equations121 Questions
Exam 10: Geometric Series65 Questions
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.
Given the graph: 
Estimate the value of 
to three decimal places.
Estimate the value of to three decimal places. (Short Answer)
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(31)
(31) 
.
converges.
and 
. Find 
to 2 decimal places.The demand curve for a product has equation 
, and the supply curve has equation 
for 
, where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar.
, and the supply curve has equation for , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar. (Short Answer)
4.9/5 (43)
(43) A young couple wants to start a family in five years time. They plan to add an addition to their home in four years so it is ready when they start their family. They estimate that $90,000 will be needed in four years. They can earn 5% on an investment now. If the couple adds money to an investment at a continuous, constant rate for the entire four-year period, at what rate (in dollars per year) should the money be deposited in order to reach the goal of $90,000 in four years?
(Multiple Choice)
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(34) 
.
using integration by substitution.
. Round to 2 decimal places.At time t hours after taking medication, the rate at which the medication is being eliminated from the body is given by 
mg/hr. Assuming that all of the medication is eventually eliminated, how many mg was the original dose?
mg/hr. Assuming that all of the medication is eventually eliminated, how many mg was the original dose? (Short Answer)
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(38) The supply and demand curves for a product have equations 
and 
, respectively, with equilibrium at 
. Which of the following is a formula for producer surplus?
and , respectively, with equilibrium at . Which of the following is a formula for producer surplus? (Multiple Choice)
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(39) Fuel pressure in the fuel tanks of the space shuttle is decreasing at a rate of 
psi per second at time t in seconds. At what rate, in psi/sec, is pressure decreasing at 15 seconds? Round to 2 decimal places.
psi per second at time t in seconds. At what rate, in psi/sec, is pressure decreasing at 15 seconds? Round to 2 decimal places. (Short Answer)
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(41) 
, where k is a constant.Supply and demand data are given in the following tables. 
Which table shows demand?
Which table shows demand? (Multiple Choice)
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(39) 
converges, find its value. Otherwise, enter "DNC".
and 
, find 
. 
Find an antiderivative 
of 
such that 
, for some constant a.
of such that , for some constant a. (Multiple Choice)
4.9/5 (44)
(44) 
on the interval 
to 
.
and 
. Find the value of 
.
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