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vodka [1.7K]
3 years ago
6

Find

="absmiddle" class="latex-formula"> if y=\int\limits^a_b {e^{t}tan } \,t dt, where a=x^3, b=3x

Mathematics
2 answers:
OLga [1]3 years ago
6 0

Step-by-step explanation:

Use the second fundamental theorem of calculus.

If y = ∫ₐᵇ f(t) dt, then dy/dx = f(b) db/dx − f(a) da/dx

dy/dx = e^(x³) tan (x³) (3x²) − e^(3x) tan (3x) (3)

dy/dx = 3x² e^(x³) tan (x³) − 3 e^(3x) tan (3x)

vitfil [10]3 years ago
3 0

Answer:

3[x²(e^x³)(tan(x³) - (e^3x)tan(3x)]

Step-by-step explanation:

Derivative of x³ = 3x²

Derivative of 3x = 3

3x²(e^x³)(tan(x³) - 3(e^3x)tan(3x)

3[x²(e^x³)(tan(x³) - (e^3x)tan(3x)]

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The animal department wants to estimate baboon population. So they paint 50 baboons with a mark. These baboons were then release
Svet_ta [14]

Answer:

  600 baboons

Step-by-step explanation:

Half the number of marked baboons showed up in the sample, so we expect the sample size to be about half of the total population. 300 is half of 600.

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Many assumptions are involved in such an experiment and analysis. Not the least of which are the assumptions that the marked baboons end up evenly distributed through the population, and that the sample is a fair sample of the entire population.

3 0
2 years ago
Find the volume of a cylinder that has a radius of 7 and a height of 18.
ch4aika [34]

Answer:

V = 882pi units^3

or approximately

2769.48 units^3

Step-by-step explanation:

The column of a cylinder is given by

V = pi * r^2 * h

We know the radius is 7 and the height is 18

V = pi * 7^2 *18

V =pi *49 *18

V =882 pi

If we want an approximate answer, we can approximate pi by 3.14

V = 3.14 * 882

V =2769.48

7 0
3 years ago
Read 2 more answers
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Nadusha1986 [10]

The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

<h3>What is division?</h3>

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

⇒ (3 x 10⁻⁸) / (10⁴)

⇒ 3 x 10⁻⁸ x 10⁻⁴

⇒ 3 x 10⁻⁸⁻⁴

⇒ 3 x 10⁻¹²

Then the correct option is D.

More about the division link is given below.

brainly.com/question/369266

#SPJ1

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2 years ago
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Gemiola [76]

Answer: y = -2x + 7  

Step-by-step explanation:

Slope intercept form is the same as solving for y in the equation .

So solve for y and it will be in slope intercept form.

12 - y = 2x + 5   Subtract 12 from both sides

-12             -12

-y = 2x  -7      Now divide both sides by -1

y = -2x + 7

8 0
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What model describes the relationship between miles driven and the total cost of a rental car when you pay $50.00 per day and $0
Alex_Xolod [135]
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TC = $50 + ($0.25)x, where x is the number of miles driven.

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