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3 years ago

In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample,

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

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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

Please help!!!! It's due to tm! NO LINK

alexgriva [62]

Answer:

the answer for X is -6

Step-by-step explanation:

g(X)=5/2x -1 and g(X)= - 1

sub -16 on g(X)

-16=5/2x -1

-16+1 = 5/2x

-15 = 5/2x

divide both sides by 5/2

X= -6

4 0

3 years ago

Which choice is the solution for this system ? 2x − 5y = 14 x + 3 2 y = 5

VashaNatasha [74]

Answer:

The required solution is (5.75,-0.5). It can be written as $(\frac{11}{4},-\frac{1}{2})$ .

Step-by-step explanation:

The given equations are

$2x-5y=14$ .... (1)

$x+\frac{3}{2}y=5$ .... (2)

Multiply the equation (2) by 2.

$2x+3y=10$ .... (3)

Subtract equation (1) from equation (3).

$2x+3y-(2x-5y)=10-14$

$2x+3y-2x+5y=-4$

$8y=-4$

$y=-\frac{1}{2}=-0.5$

Put this value in equation (1).

$2x-5(-0.5)=14$

$2x+2.5=14$

$2x=11.5$

$x=5.75$

Therefore the required solution is (5.75,-0.5). It can be written as $(\frac{11}{4},-\frac{1}{2})$ .

3 0

3 years ago

What is the simplified form of 4 X ? 3 + 7?

tia_tia [17]

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

6 0

3 years ago

What is the area of this trapezoid? Enter your answer in the box. cm2=

WITCHER [35]

Download the app Math then take a picture and it wil give u the answer.

3 0

3 years ago