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3 years ago

Find the slope between the following points: (8,-4),and (2,-4)

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

3 0

Answer:

-------

-6

Step-by-step explanation:

y2-y1

---------

x2-x1

-4+4

-------

2-8

-----

-6

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This question is designed to be answered without a calculator. Use the antiderivative formula shown, where f(u) represents a fun

Phoenix [80]

Answer:

$f(u) = u$

Step-by-step explanation:

Given

$\int {\ln(u)} \, du = u[\ln(u) - f(u)] + c$

Required

Find f(u)

To do this, we start by integrating the left-hand side

$\int {\ln(u)} \, du = u\ln(u) - f(u)+ c$

Using integration by parts, we have:

$\int {fg'} = fg - \int f'g$

So, we have:

$f = \ln(u)$

Differentiate

$f'=\frac{1}{u}$

$g' = 1$

Integrate

$g=u$

So:

$\int {fg'} = fg - \int f'g$

$\int \ln(u)\ du = \ln(u) * u - \int \frac{1}{u} * u\ du$

$\int \ln(u)\ du = u\ln(u) - \int \ du$

So, we have:

$u\ln(u) - \int \ du = u\ln(u) - f(u) + c$

Integrate du using constant rule

$u\ln(u) - u + c = u\ln(u) - f(u) + c$

Subtract c from both sides

$u\ln(u) - u = u\ln(u) - f(u)$

Subtract u ln(u) from both sides

$- u = - f(u)$

Rewrite as:

$f(u) = u$

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3 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?

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Correct answer is D.

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Step-by-step explanation:

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Could someone help me with this?? thanks!

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Answer:

Step-by-step explanation:

1/4 ( x+10) = x -4

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