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defon
1 year ago
7

Please help

Mathematics
1 answer:
Katarina [22]1 year ago
4 0

Answer:

Step-by-step explanation:

\left \{ {{2x+3y=15} \atop {x-3y=3}} \right.

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How much do subtract from 37/6 to make 6
choli [55]
37÷6
=6.1666666667
- 0.1666666667
=6
4 0
3 years ago
y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol
TEA [102]

Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

2 = c1cos0+c2sin0

2 = c1 + 0

c1 = 2

Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

9 = 0-5c2

-5c2 = 9

c2 = -9/5

Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

y = c1 cos(5x) + c2 sin(5x) will give

y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

3 0
3 years ago
This is a test ignore this-<br> 1+1+?
crimeas [40]

Answer:

2

Step-by-step explanation:

for the points

7 0
2 years ago
A rectangular gift box measures 8 inches by 10 inches by 3 inches. what is the surface area?
nevsk [136]
SA = 2<span>(<span><span><span>wl</span>+<span>hl</span></span>+<span>hw</span></span><span>)

SA = </span></span>2<span>(<span><span><span>(3)(10)</span>+<span>(8)(10)</span></span>+<span>(8)(3)</span></span><span>)

Multiply:

SA = 2(30 + 80 + 24)

Add:

SA = 2(134)

Multiply:

SA = 268</span></span>
3 0
3 years ago
Read 2 more answers
The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apar
Delicious77 [7]

Answer:

Step-by-step explanation:

2340 miles

Given

1 inch represents 10 miles

thus,

1 inch on map = 10 miles in real

given the two cities are 234 inches apart on map

1 inch on map = 10 miles in real

multiplying both side by 234

1 inch*234 on map = 10 miles*234 in real

234 inch on map = 2340 miles in real.

Thus, two cities are 2340 miles apart.

3 0
3 years ago
Read 2 more answers
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