answer : 10 fish in each tank because 10 time 5 equals 50 and there 5 tanks sotaht mean 50 divided by 5 it will be 10 fish
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
12.75
PROOF:
find all the m's first
3m+3m+m+m=8m
8m=102
Divide both sides, and you get
12.75
306 i did the math to the best of my ability
From the given functions, it can be seen that the graph of g(x) represents a shift of 6 units to the left of the graph of f(x).
Given a function, f(x), a shift of k units to the left of f(x) is given by g(x + k).
Therefore, if g(x) = f(x + k), then k = 6.
