Answer: 21
<u>Step-by-step explanation:</u>
x is a tangent line, 56-7 is a secant line. The length is equal to the outside segment times the entire segment. <em>Notice that the length of the outside of the segment is equal to the entire segment for the tangent line.</em>
Answer:
<h2>8m</h2>Step-by-step explanation:
Volume of a square based pyramid = where;
a² is the base area of the pyramid since it is square shaped
h is the slant height.
Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;
The slant height of the pyramid is 8m
Answer:
0.25ab
Step-by-step explanation:
Data provided in the question:
f(x) = xa(1−x)b, 0≤x≤1
or
f(x) = ab(x−x²)
for point of maxima and minima put f'(x) = 0
Thus,
f'(x) = ab(1 - 2x) = 0
or
1 - 2x = 0
or
x = = 0.5
Now,
to check the condition of maxima or minima
f''(x) = ab(0 - 2) = -2ab
since,
f''(x) < 0
therefore,
x = 0.5 is point of maxima
and the maximum value at x = 0.5 of the function is
f(0.5) = ab(0.5 - 0.5²)
= ab(0.25)
= 0.25ab