Exam 3: Extension B: Differentiation Rules

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Find the domain,range,and x-intercept(s)of the function. Find the domain,range,and x-intercept(s)of the function.

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Domain: Domain:   Range:   x-intercept:  Range: Domain:   Range:   x-intercept:  x-intercept: Domain:   Range:   x-intercept:

Find a formula for the inverse of the function. Find a formula for the inverse of the function.

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C

Find the exact value of the expression. Find the exact value of the expression.

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Solve the equation. Solve the equation.

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When a camera flash goes off,the batteries immediately begin to recharge the flash's capacitor,which stores electric charge given by When a camera flash goes off,the batteries immediately begin to recharge the flash's capacitor,which stores electric charge given by   (The maximum charge capacity   is and t is measured in seconds.)How long does it take to recharge the capacitor to 90% of capacity if   ? (The maximum charge capacity When a camera flash goes off,the batteries immediately begin to recharge the flash's capacitor,which stores electric charge given by   (The maximum charge capacity   is and t is measured in seconds.)How long does it take to recharge the capacitor to 90% of capacity if   ? is and t is measured in seconds.)How long does it take to recharge the capacitor to 90% of capacity if When a camera flash goes off,the batteries immediately begin to recharge the flash's capacitor,which stores electric charge given by   (The maximum charge capacity   is and t is measured in seconds.)How long does it take to recharge the capacitor to 90% of capacity if   ? ?

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Determine whether f is one-to-one. Determine whether f is one-to-one.

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Suppose that the graph of Suppose that the graph of   is drawn on a coordinate grid where the unit of measurement is an inch.How many miles to the right of the origin do we have to move before the height of the curve reaches 3 ft? Rounded to the nearest mile. is drawn on a coordinate grid where the unit of measurement is an inch.How many miles to the right of the origin do we have to move before the height of the curve reaches 3 ft? Rounded to the nearest mile.

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Use the laws of logarithms to expand the expression. ln Use the laws of logarithms to expand the expression. ln

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Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 - Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 -   ln (x + 6) ln (x + 6)

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The graph of f is given.Sketch the graph of f-1 on the same set of axes. The graph of f is given.Sketch the graph of f<sup>-1</sup> on the same set of axes.

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Solve each equation for x. (a) Solve each equation for x. (a)   (b)   (b) Solve each equation for x. (a)   (b)

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