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2 years ago

When graphing, one always marks FIRST

Mathematics

1 answer:

Ket [755]2 years ago

7 0

Answer:

The y-intercept on the y-axis

Step-by-step explanation:

The y-intercept is where you start graphing. That's why it's important to find that first.

Hope this helps!!

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Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

2 years ago

What is the circumference of the circle in the example? 2π 4π 6π

ale4655 [162]

Answer:vssbiubpu buivbub [u bu[b [uib

Step-by-step explanation:

scewsucpsivgeduaigxuygu1yuwgyugvuygquyy3gvdv

3 0

3 years ago

Read 2 more answers

What are the common factors of 20 and 24

Mandarinka [93]

Answer:

Step-by-step explanation:

4 x 5= 20

4x6 = 24

So 4 can go in 20 and 24 making it the common factor

7 0

2 years ago

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHA

4vir4ik [10]

Answer:

calm down rosie.... it's okay to not be too good at math... take Justin Timberlake. in the show "Friends with Benefits" he's horrible at math but good at life. so don't worry too much. You are still a good person.. even if you're bad at math :P

Step-by-step explanation:

now for the math part

as below

3 0

2 years ago

I don’t know what to do with the 3 feet above the ground

Slav-nsk [51]

Answer:

3 seconds

Step-by-step explanation:

You want to set h(t)=3, then take the root such that t≠0. You would have:

3=3+48t−16t^2

Let's solve your equation step-by-step.

3=3+48t−16t2

Step 1: Simplify both sides of the equation.

3=−16t2+48t+3

Step 2: Subtract -16t^2+48t+3 from both sides.

3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)

16t2−48t=0

Step 3: Factor left side of equation.

16t(t−3)=0

Step 4: Set factors equal to 0.

16t=0 or t−3=0

t=0 or t=3

3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.

So the ball was in the air for 3 seconds.

7 0

3 years ago

When graphing, one always marks FIRST​

When graphing, one always marks FIRST