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pickupchik [31]
2 years ago
5

2 1/2 ÷ 1/2= what is this answer

Mathematics
1 answer:
Anna11 [10]2 years ago
5 0

Answer: 5

Step-by-step explanation:

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Consider the differential equation: y′′−8y′=7x+1. Find the general solution to the corresponding homogeneous equation. In your a
Margaret [11]

Answer:

yp = -x/8

Step-by-step explanation:

Given the differential equation: y′′−8y′=7x+1,

The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)

First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;

y′′−8y′=0

The auxiliary equation will give us;

m²-8m = 0

m(m-8) = 0

m = 0 and m-8 = 0

m1 = 0 and m2 = 8

Since the value of the roots are real and different, the complementary solution (yc) will give us

yc = Ae^m1x + Be^m2x

yc = Ae^0+Be^8x

yc = A+Be^8x

To get yp we will differentiate yc twice and substitute the answers into the original DE

yp = Ax+B (using the method of undetermined coefficients

y'p = A

y"p = 0

Substituting the differentials into the general DE to get the constants we have;

0-8A = 7x+1

Comparing coefficients

-8A = 1

A = -1/8

B = 0

yp = -1/8x+0

yp = -x/8 (particular integral)

y = yc+yp

y = A+Be^8x-x/8

3 0
3 years ago
Felicia pays for $3000.00 in home repairs using a credit card with a 17% APR. She makes $200.00 monthly payments.
irina1246 [14]

Answer:

262.96 Dollars is for interest

271.91 Dollars is the monthly charged price monthly with the interest included

3262.96 Dollars is the total cost with APR

4 0
3 years ago
Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22​
Vanyuwa [196]

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_{6} = 12 and a_{8} = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

a₁ + 5(5) = 12

a₁ + 25 = 12 ( subtract 25 from both sides )

a₁ = - 13

Thus

a_{2} = - 13 + 5 = - 8

a_{n} = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

8 0
3 years ago
The graph shows the cost per day of electricity over a seven-day period.
Darina [25.2K]
A. Negative. You’re welcome
5 0
3 years ago
Read 2 more answers
F(x) = -8x+20; 5-2 [ f(-1)]​
ExtremeBDS [4]

Solve the equation.

m+34=m−6

Enter the correct answer in the box.

6 0
3 years ago
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