Answer:
Yes
Step-by-step explanation:
74/e < 12
Since e is in the denominator, e can not be 0.
If e > 0,
74/e < 12
74 < 12e
e > 74/12
e < 37/6
If e < 0,
(When you multiply by e, which is a negative value, inequality reverses)
74 > 12e
e < 74/12
e < 37/6
Answer:
The line passes through (4, -7) and (5, -10).
Step-by-step explanation:
When x = 4, y = 5 - 3(4), or 5 - 12, or -7. Thus the point (4, -7) lies on the graph. Similarly y = 5 - 3(5) = -10 when x = 5. Thus, the line also goes through (5, -10). Plot these two points and draw a line through them. Doing this will result in the desired graph.
Answer:
-4x^3 +12x^2 for 0 < x < 3
Step-by-step explanation:
The power rule is appropriate:
(d/dx)x^n = n·x^(n-1)
This is applied to each of the terms.
F'(x) = -(4·x^3) +4(3x^2) +0
F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3
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The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].
