Answer:
3619.11 cubic inches
Step-by-step explanation:
volume of a cylinder is 
diameter is 16 in, so radius (r) is 8 in
plug in values: 
cubic inches
ALWAYS TRUE
Step-by-step explanation:
Because there is no value of x
For this case we must do a conversion:
We have to by definition:
1 ounce equals 0.0625 pounds
Making a rule of three we have:
1 oz ------------> 0.0625 lb
67 oz ----------> x
Where "x" represents the number of equivalent pounds:
Thus, 67 ounces equals 4.1875 pounds
Answer:
67 ounces equals 4.1875 pounds
Answer: We have
f'(x) = a x + b,
f'(x) = 0 at x = -b/a
f(x) = a x^2 / 2 + b x + c
Meaning of marked part
❟ ∵ a<0 ❟ f is a quadratic function
∴ f has absolute maximum value at x = -b/a
For all a with a less than zero, f is a quadratic function. Therefore f has a global maximum at x = -b/a
That typesetting seems very sloppy. It probably is supposed to be
∀a < 0, f is a quadratic function.
The second sentence is sloppy in use of "absolute". It can't mean absolute value, so presumably it means "global".
Sometimes a minimum or maximum is only local, but a quadratic function has exactly one extrema, and it is global. And if a < 0, the extrema is a global maximum.
Step-by-step explanation:
An extrema (minimum or maximum) for f(x) occurs only where f'(x) = 0, that is, when the slope of the tangent at x is zero.
But if the function crosses its tangent at that point, the point is an inflection point, not an extrema. A quadratic never crosses it's tangent.
Answer:
A
Step-by-step explanation:
