Exam 4: Section 7: Integration

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Find the indefinite integral of Find the indefinite integral of   . .

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E

Find the indefinite integral Find the indefinite integral   . .

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B

Use integration to find the particular solution of the differential equation Use integration to find the particular solution of the differential equation   which passes through the point   . which passes through the point Use integration to find the particular solution of the differential equation   which passes through the point   . .

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B

Find Find   given   . given Find   given   . .

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Find the indefinite integral. Find the indefinite integral.

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Find the indefinite integral Find the indefinite integral   . .

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Suppose a population of bacteria is changing at a rate of Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t. where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.

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Find Find   . .

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Find the solution of the differential equation Find the solution of the differential equation   which passes through the point   . which passes through the point Find the solution of the differential equation   which passes through the point   . .

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Evaluate Evaluate   . .

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Evaluate the definite integral Evaluate the definite integral   . .

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Find the area of the region bounded by the graphs of the equations Find the area of the region bounded by the graphs of the equations   Round your answer to four decimal places. Round your answer to four decimal places.

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Find Find   . .

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Suppose a population of bacteria is changing at a rate of Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when   days. Round your answer to the nearest integer. where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when Suppose a population of bacteria is changing at a rate of   where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when   days. Round your answer to the nearest integer. days. Round your answer to the nearest integer.

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Find the indefinite integral. Find the indefinite integral.

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The rate of change in sales S is inversely proportional to time The rate of change in sales S is inversely proportional to time   measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively. measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.

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Find the solution of the differential equation Find the solution of the differential equation   which passes through the point   . which passes through the point Find the solution of the differential equation   which passes through the point   . .

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Find the area of the region given below bounded by the graph of Find the area of the region given below bounded by the graph of   .  . Find the area of the region given below bounded by the graph of   .

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Find Find   . .

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Find Find   . .

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