O EXPONENTIAL AND LOGARITH MIC FUNCTIONSMaxFinding the time given ant exponential function with base e that m...EspañolSuppose that the velocity v (t) (in meters per second) of a sky diver falling near the Earth's surface is given by the following exponentialfunction, where time t is the time after diving measured in secondsv (t)=61 -61e-0.26tHow many seconds after diving will the sky diver's velocity be 43 meters per second?Round your answer to the nearest tenth, and do not round any intermediate computations.seconds?Aa

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Asked Sep 27, 2019

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O EXPONENTIAL AND LOGARITH MIC FUNCTIONS
Max
Finding the time given ant exponential function with base e that m...
Español
Suppose that the velocity v (t) (in meters per second) of a sky diver falling near the Earth's surface is given by the following exponential
function, where time t is the time after diving measured in seconds
v (t)=61 -61e-0.26t
How many seconds after diving will the sky diver's velocity be 43 meters per second?
Round your answer to the nearest tenth, and do not round any intermediate computations.
seconds
?
Aa
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O EXPONENTIAL AND LOGARITH MIC FUNCTIONS Max Finding the time given ant exponential function with base e that m... Español Suppose that the velocity v (t) (in meters per second) of a sky diver falling near the Earth's surface is given by the following exponential function, where time t is the time after diving measured in seconds v (t)=61 -61e-0.26t How many seconds after diving will the sky diver's velocity be 43 meters per second? Round your answer to the nearest tenth, and do not round any intermediate computations. seconds ? Aa

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Step 1

Given,

v(t) 61 61e-0.26t
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v(t) 61 61e-0.26t

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Step 2

Now, we have to find after how many seconds the sky dr...

. 43 61 - 61e~0.26t
-18 -61e0.26t
18
e-0.26t
61
Taking In on both sides we get
18
lne 0.26t ln
61)
18
-0.26t lne ln
61
18
ln
61/
-0.26t x 1
t 4.69423
t 4.7
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. 43 61 - 61e~0.26t -18 -61e0.26t 18 e-0.26t 61 Taking In on both sides we get 18 lne 0.26t ln 61) 18 -0.26t lne ln 61 18 ln 61/ -0.26t x 1 t 4.69423 t 4.7

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