The point of inflection is calculated by equating the second derivative to zero and determining x from there.
f"(x) = -x²2xsinx² + cosx²(2x) = 0
2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0
2x = 0 ⇒ x = 0
cosx² - xsinx² = 0 ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)
Thus, the function only has 1 point of inflection and it is at x = 0.
Answer:
24÷2=12
12×3=36
HOPE THIS HELPS!!!!!!!!!!!
Step-by-step explanation:
Answer:
2291.3
Step-by-step explanation:
The given regression equation is
y=9.82 x + 671
Where y= Hiker's elevation in feet and x= number of minutes.
Here, number of minutes is an independent variable while Hiker's elevation in feet is the dependent variable. The slope coefficient 9.82 depicts that due to unit increase in number of minutes the Hiker's elevation in feet increases by 9.82 feet.
We have to estimate the hiker's elevation after 165 minutes using the above regression equation. We simply put x=165 to estimate the hiker's elevation.
y= 9.82(165) + 671
y= 1620.3+671
y= 2291.3
So, the estimated hiker's elevation after 165 minutes is 2291.3 feet.
Answer:
Area of the gray region = 64 square units
Step-by-step explanation:
Area of the white square = 64 square units
Length of a side of the given square =
=
= 8 units
By Pythagoras theorem,
Length of diagonal DB =
DB =
=
AD = DB = [Given]
OD = OC =
= 4√2
Therefore, AO = AD + OD = 8√2 + 4√2
= 12√2
Area of ΔACD = Area of ΔAOC - Area of ΔCOD
=
=
=
= 32
Therefore, area of gray part = Area of ΔACD + Area of ΔAED
= 32 + 32
= 64 square units
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