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3 years ago

Lim -> 0 sin(2x) /(x*cos(x) ) help

1 answer:

4 0

Sin (2x) can be written like:sin (2x) = 2sin(x)cos(x)
substituting this expresion in the original one:sin(2x) /(x*cos(x) =2sin(x)cos(x)/x*cos(x)=2sinx/x
taking limits, and noticing that lim as x->0 of sinx/x=1:lim 2sinx/x=2*1=2x->0

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Despite control measures, the pigeon population in Winchester is increasing by 10% each year. If there are currently 9,520 pigeo

TEA [102]

Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

The initial value and the growth rate are given by:

A(0) = 9520, r = 0.1.

Hence the function is given by:

$A(t) = 9520(1.1)^t$

Hence in 13 years, the amount of pigeons will be of:

$A(13) = 9520(1.1)^{13} = 32866$

More can be learned about exponential functions at brainly.com/question/25537936

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1 year ago

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mel-nik [20]

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2 years ago

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Anni [7]

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Step-by-step explanation:

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2 years ago

First two two terms of the given number sequence 3n + 1 are...

PtichkaEL [24]

Answer:

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Step-by-step explanation:

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