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3 years ago

Solve (D*D + 4)y = x + cos²x

Mathematics

1 answer:

Sedaia [141]3 years ago

7 0

Answer:

(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.

Step-by-step explanation:

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11.49 for 3 packages

alexandr402 [8]

Answer: $3.83 per package

Step-by-step explanation:

Simply you need to use division

Divide 11.49 by 3

11.49/3

To which you will get

$3.83

4 0

3 years ago

A nightclub has approximated the demand for their Thursday night drink special by p^2+200q^2=177, where p is the price (in dol

Irina18 [472]

Answer:

Step-by-step explanation:

Given the approximate demand function of night drink expressed as;

p^2+200q^2=177,

p is the price (in dollars) and;

q is the quantity demanded (in thousands).

Given

p = $7

q = 800

Required

dq/dp

Differentiating the function implicitly with respect to p shown;

2p + 400d dq/dp = 0

400q dq/dp = -2p

200qdq/dp = -p

dq/dp = -p/100q

substitute p and q into the resulting equation;

dq/dp = -7/100(800)

dq/dp = -7/80000

dq/dp = -0.0000875

This means that the rate of change of quantity demanded with respect to the price is -0.0000875

8 0

3 years ago

Write an equation of the circle with center (4,5) and radius 9.

mixer [17]

Answer:

I'm going to write both of these because maybe you have a fill in the blank question. I don't know.

$(x-4)^2+(y-5)^2=9^2$

Simplify:

$(x-4)^2+(y-5)^2=81$

Step-by-step explanation:

$(x-h)^2+(y-k)^2=r^2$ is the equation of a circle with center (h,k) and radius r.

You are given (h,k)=(4,5) because that is the center.

You are given r=9 because it says radius 9.

Let's plug this in.

$(x-4)^2+(y-5)^2=9^2$

Simplify:

$(x-4)^2+(y-5)^2=81$

6 0

3 years ago

Read 2 more answers

Help will give 20 points

siniylev [52]

Answer:1/3 divided by 6 equals 18

Step-by-step explanation: If you have a cloth that is 1/3 long then divide it by 6 it would look like 1/3 divided by 1/6 which would then equal 1/18.

6 0

3 years ago

How to solve function operations

Mama L [17]

" Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).1. = [3x + 2] + [4 – 5x] = 3x + 2 + 4 – 5x. = 3x – 5x + 2 + 4. = –2x + 6. (f – g)(x) 2. = f (x) – g(x)= [3x + 2] – [4 – 5x] = 3x + 2 – 4 + 5x. = 3x + 5x + 2 – 4. = 8x– 2. 3. ...= (3x + 2)(4 – 5x) = 12x + 8 – 15x2 – 10x. = –15x2 + 2x + 8. " - Google

3 0

3 years ago

Solve (D*D + 4)y = x + cos²x​

Solve (D*D + 4)y = x + cos²x