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3 years ago

15

Which step is wrong, Step 1, Step 2, Step 3 or Li didn't make a mistake

1 answer:

mart [117]3 years ago

7 0

Hello there!

The correct answer is option A

Instead of the division sign, it suppose to be multiply.

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The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

So

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

So

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

So

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.

OlgaM077 [116]

$f(g(x))=(2x^2+5)^2+2x^2+5+2\\
f(g(x))=4x^4+20x^2+25+2x^2+7\\
f(g(x))=4x^4+22x^2+32
$

4 0

4 years ago

Read 2 more answers

Please Please please answer this correctly

Aleksandr-060686 [28]

North ok i hope i am right

4 0

3 years ago

Joey saved $2 today. if he doubles the number of dollars he saves each day, how many days, including today, will it take him to

DerKrebs [107]

As the days go by:
1*2
2*2
4*2 by the third day, Joey has (2^2)*2 dollars
8*2 by the 4th day, Joey has (2^3)*2 dollars
16*2 by the 5th day, Joey has (2^4)*2 dollars
so by the nth day, he has 2^(n-1)*2, which is 2^n
2^n>500
n is about 9

7 0

3 years ago

Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form.

Vika [28.1K]

<span>-2i + (9 − 3i) − (6 − 10i)
-2i - 3i + 10i + 9 - 6
5i + 3
3 + 5i</span>

6 0

3 years ago

Read 2 more answers