# Calculus Early Transcendentals

Mathematics

## Quiz 3 :Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

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Find the limit.
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Simplify the expression.
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C

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Evaluate the limit using l'Hôpital's Rule.
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C

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A telephone line hangs between two poles at 12 m apart in the shape of the catenary , where x and y are measured in meters. Find the slope of this curve where it meets the right pole.
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Find the numerical value of the expression.
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Find the derivative.
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Find the derivative of the function. Simplify where possible.
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Evaluate the limit using l'Hôpital's Rule.
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Find the exact value of the expression.
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If is invested at interest, find the value of the investment at the end of years if the interest is compounded .
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Find the value of the expression accurate to four decimal places.sinh 4
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Find the numerical value of the expression.
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The half-life of cesium- is years. Suppose we have a -mg sample. How much of the sample remains after years?
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Differentiate the function.
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The half-life of cesium is years. Suppose we have a -mg sample. Find the mass that remains after years.
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Evaluate the limit using l'Hôpital's Rule.
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Strontium- has a half-life of days. A sample has a mass of mg initially. Find a formula for the mass remaining after days.
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Find the limit.
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