Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
Answer:
E
Step-by-step explanation:
The average rate of change of A(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 4, 6 ] , then
f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51
f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus
average rate of change =
=
= 4 → E
Divide 45 by 5
9
Now multiply 20 by 9
180
Your answer should be 180.
Answer: 14.1
Step-by-step explanation:
Law of cosines:
d^2 = 8^2 + 10^2 - 2(8)(10)cos103
Where is the rest of the problem ?