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yawa3891 [41]
3 years ago
10

Use the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral.

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

Value of the integral will be equal to \frac{x^2}{2}+15x+c

Step-by-step explanation:

We have given the expression \int( \sqrt{x^2}+15)dx

We have to find the integral of the given expression

So \int( \sqrt{x^2}+15)dx=\int (x+15)dx

Now integrating

\int (x+15)dx=\frac{x^2}{2}+15x + c

So value of the integral will be equal to \frac{x^2}{2}+15x+c

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If the function f is given by f(x)= 4x -3, find the value of f(2+h)
Travka [436]
  • f(x)=4x-3

\\ \sf\longmapsto f(2+h)

\\ \sf\longmapsto 4(2+h)-3

\\ \sf\longmapsto 4h+8-3

\\ \sf\longmapsto 4h+5

6 0
3 years ago
Suppose you have $10 and your brother has $54. If you decide to save $10 of your allowance each week and your brother decides to
abruzzese [7]

Answer:  11 weeks

Step-by-step explanation: 11 x 10 + 10 = $120 and 11 x 6 +54 = $120

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In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.
fiasKO [112]

Answer:

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.

If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.

Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.

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3 years ago
What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)
dybincka [34]

Answer:

amplitude; \frac{2}{3}

Phase shift; \pi units right

Period;\frac{2\pi}{3}

Step-by-step explanation:

The given function is

y=-\frac{2}{3}\cos(3t-3\pi)

This function is of the form;

y=A\sin (Bt+C)

The period is given by:

|A|=|-\frac{2}{3}|= \frac{2}{3}

The period is given by:

T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}

The phase shift is given by;

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3 years ago
The percent frequency for S&amp;P 100 companies in the Consumer Staples sector is
torisob [31]

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

<h3>How to determine the percentage frequency?</h3>

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

Read more about pie charts at:

brainly.com/question/24461724

#SPJ1

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2 years ago
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