Answer:
B
Step-by-step explanation:
You can find the dimensions of the model and plug them into the formula for volume (length x width x height)
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Answer:
1050
Step-by-step explanation:
it is 700/2 ×3=2100/2=1050
Answer:
Commutative property of multiplication
Step-by-step explanation:
Commutative property of multiplication basically means that the order in which you multiply numbers does not matter.
For exampe:
3 x 4 = 4 x 3
12 = 12
In your case:
5 x 7 x 4 = 5 x 4 x 7
140 = 140
If we break that down:
5 x 7 x 4 = 5 x 4 x 7
35 x 4 = 20 x 7
140 = 140