3 years ago

Find the equation of tangent line

Mathematics

1 answer:

bogdanovich [222]3 years ago

3 0

$\frac{dy}{dx} 2x {e}^{x} = 2x {e }^{x} + 2 {e}^{x}$

Evaluated at x=0 we get

$y = 2x$

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A bacteria colony increases in size at a rate of 4.0565e1.3t bacteria per hour. If the initial population is 54 bacteria, find t

Dovator [93]

Answer:

Population of bacteria four hours later $A=616.5187$ or nearest whole number

$A=616$

Step-by-step explanation:

Given,

Let amount of bacteria four hours later is=A

Rate of increase of bacteria per hour $=\frac{\partial x}{\partial t}=4.0565e^{1.3t}$

Initial population of bacteria is =54

Time 4 hours

Find the population of bacteria 4 hours later

Solution,

$\int_{54}^{A}dx=\int_{0}^{4}4.0565e^{1.3t}dt$

$\left [ x \right ]_{54}^{A}=4.0565/1.3\left [e^{1.3t} \right ]_{0}^{4}$

$A-54=4.0565/1.3\left ( e^{1.3\times 4} -1\right )$

$A-54=562.5187301$

$A=562.5187301+54$

$A=616.5187$

Population of bacteria 4 hours later is $A=616$

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Answer:

Step-by-step explanation:

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notsponge [240]

Answer:

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What’s the question??? I can’t answer bc no question

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Date

siniylev [52]

Answer:

16 workers are required to complete the work in 45 days...

Step-by-step explanation:

12 workers are required to complete the work in 60 days

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