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Charra [1.4K]
3 years ago
12

Find the general solution: y''-2y'-3y=-3te^(-t)

Mathematics
1 answer:
allsm [11]3 years ago
5 0
The answer i got was -3te with -t as an exponent 
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Find all solutions to the equation:
crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

7 0
3 years ago
Martia orders 12yd of material to make banners. If she needs 1 foot of fabric for each banner, how many banners can she make?
SOVA2 [1]
You can make 36 banners. there are 3 feet in 1 yard so if you multiply 12 and 3 you get 36

4 0
3 years ago
Can someone help me with this math homework please!
azamat

It is not necessary that the function decreasing over a given interval always be negative.

A function f(x) (value) decreases as x increases.

This does not mean that value of f(x) is negative.

It can have positive number as range.

7 0
3 years ago
Read 2 more answers
Identify is this is percent increase or percent decrease, then calculate percentage
vlabodo [156]

<em>Last year the chess club had 30 members. This year the club has 24 members. </em>

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

\frac{Difference}{Original} \times 100

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

\frac{Difference}{Original} =\frac{6}{30} =0.2

To convert the decimal to a fraction, multiply the decimal by 100.

0.2 \times 100 = 20 \%

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

____

3 0
3 years ago
Please Help Timed Question. Picture provided below.
Jobisdone [24]

Answer:

17.67 mpg

Step-by-step explanation:

The fuel efficiency is given by :

\eta=1.437+0.541\times s

We need to find the fuel efficiency for a speed of 30 mph

Put the value of s equals 30 mph in the above equation.

\eta=1.437+0.541\times 30\\\\\eta=17.67\ mpg

So, the required fuel efficiency is equal to 17.67 mpg.

6 0
3 years ago
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