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Tanya [424]
2 years ago
10

How does ((x) = 4 • 6^x change over the interval from x=2 to x=3

Mathematics
1 answer:
Alika [10]2 years ago
8 0

Answer:

f(x) increases by a factor of 6

Step-by-step explanation:

f(x) = 4 *6^x

f(2) = 4 *6^2

f(2) = 4 *36

f(2) = 144

f(x) = 4 *6^x

f(3) = 4 *6^3

f(3) = 4 *216

f(3) = 864

f(x) increases by a factor of 6

144 * 6 = 864

Hope this helps!

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The volume (in cubic inches) of a shipping box is modeled by V =2x³ -19x² +39x, where x is the length (in inches). Determine the
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The values of x for which the model is 0 ≤ x ≤ 3

Step-by-step explanation:

The given function for the volume of the shipping box is given as follows;

V = 2·x³ - 19·x² + 39·x

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When V = 0, x = 0

Which gives;

0 = 2·x³ - 19·x² + 39·x

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From an hint obtained by plotting the function, we have;

0 = (x - 3)·(x - 6.5)

We check for the local maximum as follows;

dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0

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V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99

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The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.

8 0
3 years ago
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