The rate a which the surface area, S, decreases is
The surface area is
S = 4πr²
where r = the radius at time t.
Therefore
When r = 3 cm, obtain
![\frac{dr}{dt}]_{r=3} = - \frac{1}{3} \, cm/s](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdr%7D%7Bdt%7D%5D_%7Br%3D3%7D%20%3D%20-%20%5Cfrac%7B1%7D%7B3%7D%20%5C%2C%20cm%2Fs%20%20)
Answer: -1/3 cm/s (or -0.333 cm/s)
Answer:
W = 210
Step-by-step explanation:
What is 35% of 600
Is means equals and of means multiply
W = 35% *600
Changing the percent to a decimal
W = .35 *600
W = 210
Since the slope stays the same as it's parallel, we have y=(3/4)x+b. Plugging (2,-1) in, we get -1=3*2/4+b=6/4+b=1.5+b. Subtracting 1.5 from both sides, we get -2.5=b and our equation being y=(3/4)x-2.5 (since in y=mx+b, y and x remain as variables)
Answer:
volume of the solid = 
Step-by-step explanation:
As given , the region : |x| + |y| 
1
when y 
0 ,
|x| + y = 1
⇒|x| = 1 - y
when y ≤ 0 ,
|x| - y = 1
⇒|x| = 1 + y
The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)
As given , the vertical cross section are semicircle
As we know that the area of semi circle = 
Now,
Volume = 
+ 
= 
- 
= 
[1-0] - [0-1]
= 
⇒volume of the solid =
