3 years ago

Will mark brainlist if you answer this correctly!!!

Mathematics

1 answer:

luda_lava [24]3 years ago

8 0

It’s e the answer is e

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Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

4 0

3 years ago

If the public debt of the United States of Apex is 9,529,034,179,824,022 Apex dollars and its gross domestic product (GDP) is 16

aivan3 [116]

To compute for the debt-to-GDP ratio, we just have to divide the debt given in this item by the GDP and convert the quotient to percentage. That is,
debt-to-GDP ratio = (9,529,034,179,824,022)/ (16,247,683,987,248,007) x 100%
debt-to-GDP ratio = 58.65%
Thus, the answer is FALSE.

8 0

3 years ago

Read 2 more answers

( Multiple Questions)

tankabanditka [31]

They are both equal I think C.

8 0

3 years ago

Complete the equation of the line through (-10,-7)and-5,-9)<br> Y=

galben [10]

Answer:

$y = - \frac{2}{5} - 11$