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

Mathematics

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C

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E

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Q 7Q 7

Find the value of the expression accurate to four decimal places.sinh 4
A)29.3082
C)15.145
B)55.5798
D)27.2899

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Q 10Q 10

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.
A)
B)
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Q 15Q 15

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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B)
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Q 16Q 16

The half-life of cesium is years. Suppose we have a -mg sample. Find the mass that remains after years.
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B)
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Q 17Q 17

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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B)
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Q 18Q 18

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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Q 19Q 19

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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B)
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Q 30Q 30

Use the laws of logarithms to expand the expression.ln
A) ln
B) ln (x + 5) - ln (x - 6)
C) ln [(x + 5)(x - 6)]
D) ln

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Q 31Q 31

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

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Q 32Q 32

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.
A)13,014,952 mi
B)13015052.4 mi
C)5.2 mi
D)13,015,152 mi
E)1084587.7 mi

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Q 34Q 34

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 ?
A) seconds
B) seconds
C) seconds
D) seconds
E) seconds

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Q 39Q 39

Starting with the graph of , write the equation of the graph that results from shifting 5 units right.
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B)
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Q 40Q 40

Starting with the graph of , find the equation of the graph that results from reflecting about the line .
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B)
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