Match the following exponential functions with their "b" value.
1 answer:
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Answer:
in order by function: 0.6, 8, 7/3, 2, 1/2
Step-by-step explanation:
The functions are given in the form ...
f(x) = a·b^x
The "b" value is the value immediately to the left of the exponent. (It's not rocket science; it's pattern matching.) Note that the minus sign in g(x) is part of 'a', not part of 'b'.
From the top-down, the functions listed on the left have the b-values shown above.
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Answer:
- y = sin(2t)
- y = cos(2t)
Step-by-step explanation:
In the case of each of the answers listed above, the second derivative is equal to -4 times the function, as required by the differential equation.
For y = 2/3t^3, the second derivative is 4t, not -4y.
For y = e^(2t), the second derivative is 4y, not -4y.
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The graph shows the sum of the second derivative and 4y is zero for the answers indicated above, and not zero for the other two proposed answers.
