Please help, no fake answers and please...
2 answers:
Answer:
a = 5120
b = 1.25
Step-by-step explanation:
Let the exponential function representing the given table is,
f(x) =
Here, f(x) = Number of views
x = Number of weeks
We choose two points from the given table and satisfy the equation of the function.
Let the points are (0, 5120) and (1, 6400)
For a point (0, 5120),
f(0) = a(b)⁰ = 5120
a = 5120
Now for the second point (1, 6400),
6400 = 5120(b)¹
b =
b = 1.25
Therefore, a = 5120 and b = 1.25 are the values.
You might be interested in
Answer:
Maximum volume = 649.519 cubic inches
Step-by-step explanation:
A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).
Volume is given by
V =
First, we differentiate V(x) with respect to x, to get,
Equating the first derivative to zero, we get,
Solving, with the help of quadratic formula, we get,
,
Again differentiation V(x), with respect to x, we get,
At x =
,
Thus, by double derivative test, the maxima occurs at
x = for V(x).
Thus, largest volume the box can have occurs when .
Maximum volume =