Answer:
13.2
Step-by-step explanation:
√175 ≈ 13.2 . . . units
The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.
Answer:
72a^8b^6c^6
Step-by-step explanation:
<span>We will consider that the average volume of a cup is 200 ml, that is 0,2 liters.
That means 1 liter of liquid in cups is:
1 liter * 0.2 cup/liter = 5 cups
Then the equivalent of recommended liquid in number of cups is:
2.2 litres * 5 cup / liter = 11 cups of 200 ml each.</span>
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.
