Answer:
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Step-by-step explanation:
Does not compute *SPUTTER SPUTTER CRASH!*
Answer:
the volume of the solid is ![\frac{\pi }{120}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B120%7D)
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A =
( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹
( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹
( x² + x⁴ - 2x³ ) dx
=
+
-
![]^1_0](https://tex.z-dn.net/?f=%5D%5E1_0)
=
[
+
-
]
=
[
]
V = ![\frac{\pi }{120}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B120%7D)
Therefore, the volume of the solid is ![\frac{\pi }{120}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B120%7D)
multiply both sides by the reciprical of 5/3 so:
3/5(5/3)w=-10(3/5)
w=-30/5= -6
Answer:
Decreases by 2 degrees
Step-by-step explanation:
The expression that describes temperature as a function of latitude is:
![T=110-2(Latitude)](https://tex.z-dn.net/?f=T%3D110-2%28Latitude%29)
This equation represents a linear relationship between latitude and temperature in a way that an increase in latitude causes a decrease in temperature. The magnitude of this decrease is quantified by the slope of the linear equation, which is -2. Therefore, the estimated temperature decreases by 2 degrees when latitude is increased by one.
Set up the equation of two ratios:
3 racks 36 racks
----------- = --------------
15 min x
Solve this for x: 3x =540; x = 180 minutes, or 3 hours