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3 years ago

8

Hellllllpp mmmmeeeeee

1 answer:

FinnZ [79.3K]3 years ago

4 0

Answer: quick math boi

Step-by-step explanation: photo maths

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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:

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

or

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

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

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

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

You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more

I am Lyosha [343]

Answer:

One of the below.

Step-by-step explanation:

12-2=10 2+x=12

4 0

2 years ago

Find the arc length of the partial circle.

Mashcka [7]

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{90}{360}$

= 2π × 8 × $\frac{1}{4}$

= 2π × 2

= 4π units ← exact answer

6 0

3 years ago

Read 2 more answers

Change this number in exponential form into a multiplication expression in standard form. Enter your answer in the box.

dezoksy [38]

$17^3=\underbrace{17\cdot17\cdot17}_{3}$

8 0

3 years ago

Read 2 more answers

Need answer important pls

Natali5045456 [20]

Answer:

C {-2 1/6, 1 5/6}

Step-by-step explanation:

This will solve your answer

7 0

2 years ago