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3 years ago

Please help me. Will give Brain

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer:

TY SIR PLS DONATE UR BRAIN AS SAID IN THE QUESTION

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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

$u = - x^2$

$du = 2xdx$

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

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

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

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

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

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

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

$Z = 0.016$

So the profit function becomes

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

5 0

3 years ago

We expect to see a line for a graph of a composition of a function and it's inverse function, if the domain of each is all _____

Helen [10]

The answer would be All (A)Real Numbers

4 0

3 years ago

Plz I need help with 1 and 2 please help me

Vikki [24]

When finding slope the answer is always going to be rise/run so in this case,

#1 would be 1/2 (bc it goes up one and right 2)

#2 we have a rise of 3 and a run of 3 leaving our slope to be 3/3 simplified simply being 1

another trick you could use is dividing the denominator by the numerator

3 0

2 years ago

Evaluate a + b for a = 43 and b = -29.<br> HELP ME I ONLY HAVE 1 hourrr

worty [1.4K]

Answer:

Step-by-step explanation:

Substitute the given values for a and b into the expression and evaluate

a + b = 43 + (- 29) = 43 - 29 = 14

4 0

2 years ago

Read 2 more answers

What is the answer to (u-v)/8v+(6u-3v)/8v

Rina8888 [55]

Answer:should be: 7u-4v/8v

Step-by-step explanation:

7 0

2 years ago