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3 years ago

The answer is option b

Mathematics

1 answer:

Svetach [21]3 years ago

8 0

Answer:

the answer to what?

Step-by-step explanation:

I'm sorry but confused on what the question is?

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Evaluate the definite integral. 1 x4(1 + 2x5)5 dx.

Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

$= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}$

$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$

$= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C$

substitute u = 1-2x⁵ into the result

$= \dfrac{1}{40(1-2x^5)^4} +C$

Hence $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ $= \dfrac{1}{40(1-2x^5)^4} +C$

5 0

3 years ago

The image represents what geometric construction? A) Copy a triangle construction B) Copy a segment construction C) Parallel lin

Umnica [9.8K]

Answer:

d perpendicular bisected and midpoint

5 0

3 years ago

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime

earnstyle [38]

Answer:

2.69 x $10^{9}$

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

1 year = 365 days
1 day = 24 hours
1 hour = 60 minutes
73 x 365 x 24 x 60 = 38,368,800 minutes

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x $10^{9}$ ≈ 2.69 x $10^{9}$

7 0

4 years ago

The sum of 19 and Goran's age is 62 .

sergey [27]

43 is the answer 62-19= 43

6 0

3 years ago

VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV this is middle school math

Yuri [45]

Answer:

first method

22=5

7. x

we cross multiply to get

22x= 5×7

22. 22.

x= 35

=1.59

second method

22=5

7. x

we multiply the denominators to get 7x

then we multiply each term by 7x

7x×22 = 5×7x

7. x

here the 7 and 7 will cancel out and the x and x will cancel out to get

22x= 35

22. 22

= 1.59

5 0

3 years ago