Answer:
C = 5.
Step-by-step explanation:
First, you need to remember that:
For the function:
h(x) = Sinh(k*x)
We have:
h'(x) = k*Cosh(k*x)
and for the Cosh function:
g(x) = Cosh(k*x)
g'(x) = k*Cosh(k*x).
Now let's go to our problem:
We have f(x) = A*cosh(C*x) + B*Sinh(C*x)
We want to find the value of C such that:
f''(x) = 25*f(x)
So let's derive f(x):
f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)
and again:
f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)
f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)
And we wanted to get:
f''(x) = 25*f(x) = C^2*f(x)
then:
25 = C^2
√25 = C
And because we know that C > 0, we take the positive solution of the square root, then:
C = 5
X=2
Y=4
There are more than 1 solution
Answer:
Step-by-step explanation:
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thats all i know
Answer:
3x + 2y = 16
x = 2 , y = 5
Step-by-step explanation:
Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00
Considering the total cost
3x + 2y = 16
For the cost of each
x + y = 7
solving the 2 equations simultaneously be substitution
x = 7 - y
3(7 - y) + 2y = 16
21 - 3y + 2y = 16
-3y + 2y = 16 - 21
-y = - 5
Divide both sides by -1
y = 5
x = 7 -y
x = 7 - 5
= 2
Answer:
24
Step-by-step explanation:
If you use Pascal's triangle, which I did, you will look at the 5th row of the triangle which contains the numbers 1, 4, 6, 4, 1
If we expand using a = 2x and b = -1, then the expansion looks like this:
If you simplify all that down by multiplying, you'll get
If you don't know how to use Pascal's triangle, you need to learn. It's so very cool!
