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2 years ago

Please help me find y

Mathematics

1 answer:

sertanlavr [38]2 years ago

3 0

Answer:

Step-by-step explanation:

cos 60° = y / 10

y = 10 * 1/2 = 5

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Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

3 years ago

Help pls I got the other one wrong and my score went down :( PLS HELP ME NOW ITS PYTHAGOREAN THEOREM

vovangra [49]

Answer:

9.4

Step-by-step explanation:

We can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2+8^2 = c^2

25 +64 = c^2

89 = c^2

Taking the square root of each side

sqrt(89) = sqrt(c^2)

9.433981132 = c

To the nearest tenth

9.4

5 0

3 years ago

Read 2 more answers

PLEASE HELP!!!<br> Solve for x: 3 over quantity x minus 4 equals 7 over x

uranmaximum [27]

Answer:

Solve for x

Multiply in cross

distributive property right side

subtract 3x both sides

Adds 28 both sides

Divide by 4 both sides and rewrite

Step-by-step explanation:

4 0

2 years ago

How many Erving of 3/4 cup of beans are in half a cup?

jenyasd209 [6]

Well a half cup is 2/4 and if the serving size is 3/4 there is only 66.66% of the serving size needed hope this helps!

7 0

3 years ago

Collin did the work to see if 10 is a solution to the equation r/4=2.5

Natasha2012 [34]

Answer:

Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.

Step-by-step explanation:

$\frac{r}{4} = 2.5 \\ lhs = \frac{r}{4} \\ = \frac{10}{4} \\ = 2.5 \\ = rhs \\ \therefore \: \frac{r}{4} = 2.5 \\$

3 0

3 years ago