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3 years ago

A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?

Mathematics

1 answer:

Tpy6a [65]3 years ago

7 0

Answer:

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

$a \: \: \alpha \: \: \frac{k}{b}$

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

$7.2= \frac{k}{ - 4}$

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

$a = - \frac{28.8}{b}$

When

b = 6

That's

$a = - \frac{28.8}{6}$

We have the final answer as

Hope this helps you

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So the area of $R$ is given by

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(b) Find the intersections of the line $y=1$ with $y=e^{2x-x^2}$ .

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$\displaystyle\pi\int_0^2\left(e^{2x-x^2}-1\right)^2\,\mathrm dx$

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