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Nataly_w [17]
3 years ago
8

Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. 36y'' − y = x

ex/6

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
Try this solution, note, checking was not performed.

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A family has two cars. The first car has a fuel efficuency of 15 miles per gallon of gas and the second has a fuel efficiency of
SVEN [57.7K]

Answer:

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

Step-by-step explanation:

Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

Let x= gallons consumed by 1st car

and y= gallons consumed by 2nd car

Total gallons consumed by both cars = 75

so, we can write

x + y = 75

Miles covered by both cars = 1925 miles

and we know, Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

we can write the equation as

15 x + 35 y = 1925

where x and y are gallons consumed by 1st and 2nd car.

We have two equation now,

x + y = 75                   (1)

15 x + 35 y = 1925     (2)

Multiplying eq(1) with 15 and subtracting eq (1) and 2

15 x + 15 y = 1125

15 x + 35 y = 1925

-       -            -

_______________

0 - 20 y = -800

y= -800 / -20

y = 40

Putting value of y in equation 1

x + y = 75

x + 40 = 75

x= 75 - 40

x = 35

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

4 0
3 years ago
Please answer ASAP will give you five stars
Anastasy [175]

Answer:

628

Step-by-step explanation:

using formula 1/3 x pi x r x r x h

1/3 x 3.14 x 10 x 10 x 6 = 628

4 0
3 years ago
Read 2 more answers
a sphere is circumscribed about an 8-inch by 8-inch by 8-inch cube. Find the volume to the nearest cubic inch.
Anit [1.1K]

The volume of the cube is (8 x 8 x 8)  =  8³  =  <em>512 cubic inches</em>  (exact)


7 0
3 years ago
Please help!!! quick!! (brainliest if you get it right)
Evgesh-ka [11]
The correct answer is the fourth one
7 0
3 years ago
Read 2 more answers
X-1/(x+1)(x-5)
Ira Lisetskai [31]

Answer:

x=1

Step-by-step explanation:

x-1/(x+1)(x-5)

When the numerator is equal to zero and the denominator is not equal to zero

x-1= 0

x=1

6 0
2 years ago
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