Calculus Early Transcendentals

Mathematics

Quiz 3 :

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Quiz 3 :

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

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Find the limit. img
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img

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Simplify the expression. img
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C

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Evaluate the limit using l'Hôpital's Rule. img
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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 img , where x and y are measured in meters. Find the slope of this curve where it meets the right pole. img
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Find the numerical value of the expression. img
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Find the derivative. img
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Find the derivative of the function. Simplify where possible. img
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Evaluate the limit using l'Hôpital's Rule. img
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Find the exact value of the expression. img
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If img is invested at img interest, find the value of the investment at the end of img years if the interest is compounded img .
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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. img
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The half-life of cesium- img is img years. Suppose we have a img -mg sample. How much of the sample remains after img years?
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Differentiate the function. img
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The half-life of cesium img is img years. Suppose we have a img -mg sample. Find the mass that remains after img years.
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Evaluate the limit using l'Hôpital's Rule. img
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Strontium- img has a half-life of img days. A sample has a mass of img mg initially. Find a formula for the mass remaining after img days.
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Find the limit. img
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If img is invested at img interest, find the value of the investment at the end of img years if the interest is compounded img .
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Find the exact value of the expression. img
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