All categories

2 years ago

6 1/2 - 7/8 : 5 11/16

Mathematics

1 answer:

Komok [63]2 years ago

7 0

Answer:

Step-by-step explanation:

brainly.com/question/6752935

hope this helps

You might be interested in

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

3 years ago

The entertainment committee voted to hire a DJ for the school dance. The DJ

nydimaria [60]

A 4 hours

This is because if you create the equation using $75 which is the starting fee and then $30 for every hour of playing music.

Equation: 75+30h<200
You subtract 75 from 200 and the divide that number by 200 you will get a decimal but you look at your answer choices and choose the closest number to your answer.

8 0

3 years ago

Read 2 more answers

Tara wants to order tickets online so that she and three of her friends can go to the movies together. The cost of the tickets i

vichka [17]

Answer:

16×4= 64

64.00+3.50

(16×4)+(64.00+14.00)

Step-by-step explanation:

First you have to find how much the tickets will cost per person then add 14.00 because of the one time person but there is four so time 3.50×4

5 0