Answer:
(a) fave = 8
(b) c = 64/9
(c) c ≈ 7.111
Step-by-step explanation:
(a) The average value of the function is its integral over the interval, divided by the width of the interval.
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(b) We want ...
f(c) = 8
3√c = 8 . . . . . use f(c)
√c = 8/3 . . . . . divide by 3
c = (8/3)² . . . . square
c = 64/9
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(c) c ≈ 7.111
Answer:
Option D
Step-by-step explanation:
32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).
Distance between two points and
is given by the expression,
Distance =
Distance between M(2, -3) and N(3, 1) will be,
MN =
=
=
Distance between M(2, -3) and O(-3, 1),
MO =
=
=
Distance between N(3, 1) and O(-3, 1),
NO =
= 6
Condition for right triangle,
c² = a² + b² [Here c is the longest side of the triangle]
By this property,
MO² = MN² + NO²
41 = 17 + 36
41 = 51
False.
Therefore, given triangle is not a right triangle.
Since, length of all sides are not equal, given triangle will be a scalene triangle.
Option D is the correct option.