Exam 4: Section 6: Applications of Differentiation

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A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  using the relation A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  . Round your answer to one decimal place. A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.

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B

Analyze and sketch a graph of the function Analyze and sketch a graph of the function   . .

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The graph of f is shown below. On what interval is The graph of f is shown below. On what interval is   an increasing function?  an increasing function? The graph of f is shown below. On what interval is   an increasing function?

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E

Analyze and sketch a graph of the function Analyze and sketch a graph of the function   . .

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Analyze and sketch a graph of the function Analyze and sketch a graph of the function   . .

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Sketch a graph of the function Sketch a graph of the function   over the interval   . over the interval Sketch a graph of the function   over the interval   . .

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The graph of a function f is is shown below. Sketch the graph of the derivative The graph of a function f is is shown below. Sketch the graph of the derivative   .  . The graph of a function f is is shown below. Sketch the graph of the derivative   .

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Analyze and sketch a graph of the function Analyze and sketch a graph of the function   . .

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The graph of a function f is is shown below. Sketch the graph of the derivative The graph of a function f is is shown below. Sketch the graph of the derivative   .  . The graph of a function f is is shown below. Sketch the graph of the derivative   .

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Determine the slant asymptote of the graph of Determine the slant asymptote of the graph of   . .

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A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form. Write the linear model in exponential form.

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Sketch a graph of the function Sketch a graph of the function   over the interval   . over the interval Sketch a graph of the function   over the interval   . .

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Analyze and sketch a graph of the function Analyze and sketch a graph of the function   . .

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The graph of f is shown below. For which value of x is The graph of f is shown below. For which value of x is   zero?  zero? The graph of f is shown below. For which value of x is   zero?

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Analyze and sketch a graph of the function Analyze and sketch a graph of the function   . .

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Analyze and sketch a graph of the function Analyze and sketch a graph of the function   . .

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The graph of f is shown below. For which values of x is The graph of f is shown below. For which values of x is   zero?  zero? The graph of f is shown below. For which values of x is   zero?

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A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points

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Analyze the graph of the function Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below. . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.

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The graph of a function f is is shown below. Sketch the graph of the derivative The graph of a function f is is shown below. Sketch the graph of the derivative   .  . The graph of a function f is is shown below. Sketch the graph of the derivative   .

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