Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 2 equals 1 .


-2cos(x)
2 - 2cos(x)
1 - 2cos(x)
-2 - 2cos(x)

I think it is option C. Thank you in advance!

Answers

Answer 1

Answer:

1 − 2 cos x

Step-by-step explanation:

y' = 2 sin x

y = C − 2 cos x

1 = C − 2 cos(π/2)

1 = C

y = 1 − 2 cos x


Related Questions

Solve for the height (h) of this triangular prism if the volume is 1080. The

volume of a triangular prism is V = (B)(h), where B is the area of the

triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL

BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE

FOR THE TRIANGULAR PRISM. *

h

15

8

Answers

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

will mark brainliest answer for fastest answer given

Answers

Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

what is the y-intercept of the equation y=-x?

Answers

Answer:

0,0

Step-by-step explanation:

Solve for V in V = s 3, if s = 4. V = a0

Answers

Answer:

64\ units^{3}

Step-by-step explanation:

we have

V=s^{3}

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

s=4\ units

substitute

V=4^{3}=64\ units^{3}

The surface area of a prism is 224 square inches. What is the surface area of a similar prism that has dimensions that are 1/4 the original dimensions?

Answers

Answer:

The surface area of the similar prism is 56 square inches

Step-by-step explanation:

Given surface area of prism, A = 224 square inches

The total surface area of a triangular prism = 2 x Area of triangle + ph

Area of triangle = ¹/₂bh

Where;

b is the base of the prism

h is the height of the prism

p is the perimeter of lateral surfaces

Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;

Product of original dimensions = 224 square inches

1/4 of the product of original dimensions = 1/4 x 224 square inches

= 56 square inches

The surface area of the similar prism = 56 square inches

Thus, the surface area of the similar prism is 56 square inches

Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)

Answers

Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

Can u guys help pls? This is due in 10 mins

Answers

Answer:

Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7

Step-by-step explanation:

Do i need it?

8. c 6r^4
6. b 6y^7
7. b 16n^8

Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 20% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?

Party Prices
• Food & Drink $300
• Game Tokens $125
• Other $85

Answers

Answer:

408$

Step-by-step explanation:

Is -20.33 rational or irrational?

Answers

Answer:

No it is irrational (looked at it wrong)

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

5pi

Step-by-step explanation:

3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?​

Answers

Answer:grjjrd

Step-by-step explanation:fdfgdjj

How milliliters will there be?

Answers

Answer: Conver 9.7 liters into milliliters!

Me: Ok

                                                                  Can Yo explain: You

Me: multiply the volume value by 1000

Me: is 9700

                                                                 Wow Thanks! Goodbye! :You

Me: I am smarter!

X+2y>10

1.(1,3)
2.(2,0)
3.(1,1)
4.(5,3)

Answers

Answer:

very easy just compensate using the first number for x and the other for y

let's try 5 for x and 3 for y

5+2*3=11>10 so it's the answer

4.(5,3)

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

circumference is diameter x pi

radius + radius = diameter

11+11=22

22 x pi = 69.11503837897545

If you just use 3.14

3.14 x 22 = 69.08

Step-by-step explanation:

Thank you for helping me

Answers

Answer:

thank you for giving me points ;)

Step-by-step explanation:

answer. you’re welcome.

Simplify to create an equivalent expression.
2(3y + 6) -3 (-4 - y)​

Answers

Step-by-step explanation:

6y+12+12+3y

=9y+24

=3(3y+8)

Which is the best reason why 4 5/6+2 4/6 not equal to eight

Answers

Answer:

I want brainliest >:)

Step-by-step explanation:

4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5

not 8!!!

What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle

Answers

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.


An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.


The top base extends 8 units to the right of the bottom base. What is the volume of the prism?

Answers

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

if you can help with any of these two or both that would be great ! :)
thanks

Answers

Answer:

hmmm not sure

Step-by-step explanation:

try mulitply the numbers

does any of yall know the answer to this shat?

Answers

Answer:

s=2

Step-by-step explanation:

subtract 21 from both sides= -3s=-6

divide by -3 to get s alone

s=2

s = 2

Step-by-step explanation:

subtract 21 to both sides

-3s= -6

then divide by -3 both sides to isolate  s variable

s= 2

What is the 14th term in the sequence 6n + 1

Answers

Answer:

85

Step-by-step explanation:

6(14)+1=

84+1=

85

Hope this helps! please mark brainliest :)

Heyy anybodyy help me please!

Answers

Answer: They are both tesselate shapes

Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate

Find the surface area of the prism. Write your answer as a fraction or mixed number.

Answers

Answer:

2⅔ ft²

Step-by-step explanation:

A cube has 6 square faces

6 × (⅔)²

6 × 4/9

8/3

2⅔

Answer:

[tex] 2\frac{2}{3} {ft}^{2} [/tex]

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20.3 20.3 inches. Write an equation to find the width of the frame, x

Answers

Answer:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in[/tex]

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in [/tex]

And the width for this case would be 15.8 in

Round your answer to the nearest hundredth..
B
?
5
2
A
С

Answers

Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm

Answers

Answer:

area=250.12. perimeter=3380

Step-by-step explanation:

Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?

Answers

Answer:

$17.33

Step-by-step explanation:

3.5×4.95

=17.325

= $17.33


1. Lily is paid $5.25 per hour for raking leaves.
What is the Dependent Variable:
What is the Independent Variable:
The Rate of Change:
The Initial Value:
The Equation:
Direct / Partial:

Answers

5.25 per hour dependent

independent raking leaves

was da answer people?

Answers

Answer:

39 homes

Step-by-step explanation:

The fraction of people having computers is

13/20

Multiply by the number of homes

13/20 * 60

13 * 60/20

13*3

39

39 homes

Answer:

39 Computers

Step-by-step explanation:

i never really understood how everyone does these types of question so i just do them my own way:

60/20 = 3  

13*3 = 39

ʕ•ᴥ•ʔ  (dats a bear)

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