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LekaFEV [45]
3 years ago
15

SOLVE. y''+5y'+6y=2e^t

Mathematics
1 answer:
Stels [109]3 years ago
8 0
<span>y'' + 5y' + 6y = 2e^t is a second order differential equation with solution y = Ae^mt + Be^nt + p(t); where m and n are the roots of the quadratic equation x^2 + 5x + 6 = 0, and p(t) is the particular solution.
x = -2 and x = -3

y = Ae^-2t + Be^-3t + p(t)

For the particular solution, Ke^t + 5Ke^t + 6Ke^t = 2e^t
12K = 2
K = 1/6

Therefore, solution is </span>
<span>y = Ae^-2t + Be^-3t + 1/6 e^t
</span>
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a white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 per minute. Which
guajiro [1.7K]
For the answer to the question above,
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
Then If you convert the bison's speed to mph you get that it can run at speeds up to 40 mph.

I got this by seeing how many feet that they run in one hour so 3520 x 60 is 211200 which divided by 5280 is 40 mph.

I hope my answer helped.
5 0
3 years ago
Read 2 more answers
F= 8/5 (c) + 40 when c=5
Molodets [167]

Answer:

F = 48

Step-by-step explanation:

F= 8/5 (c) + 40

Let c=5

F = 8/5 * 5 +40

  = 8 + 40

  = 48

6 0
3 years ago
Read 2 more answers
How much will it cost to borrow $2,500 for a year at a simple interest rate at 14% please explain
Mariana [72]
Principle (P) = $ 2,500

Rate (R) = 14%

Time (T) = 1 year

Simple Interest (SI) = \frac{PRT}{100}

SI = \frac{2500 * 14 * 1}{100} =  \frac{25 *14}{1} = 350

Hence, the answer is $350.
3 0
3 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find m2C in the quadrilateral.
saul85 [17]

Answer:

m∠C = 107°

Step-by-step explanation:

there are 4 sides so we first need to find the total interior angle:

  • ( 4 - 2 ) * 180 = 360°

m∠C = 360° - 90° - 90° - 73°

         = 107°

8 0
3 years ago
__,__, 8.16,32,64 what is the arithmetic sequence?
seraphim [82]

Answer:

2,4,8,16,32,64

Step-by-step explanation:

There are a couple of ways one could approach this. The goal is to find out the factor by which the numbers are increasing. Looking at going from 8 -> 16, we have either added 8, or doubled 8. So the factor is either +8 or x2. Going from 16 -> 32, adding 8 no longer holds true, while multiplying by 2 (doubling 16) does. To confirm what we have found, we can further check our math by using the final two numbers, 32 -> 64, to confirm that the sequence pattern is to double the current number to achieve the next number.

Working backwards, we can half each number to find out the first two numbers in the sequence. 64/2 = 32, 32/2 = 16, 16/2 = 8, 8/2 = 4, 4/2 = 2

8 0
3 years ago
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