Answer:
The rate of change of radius is 0.0530 ft/sec.
Step-by-step explanation:
Given : Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.
To find : How fast is the radius increasing after 2 minutes?
Solution :
The volume of the sphere is
Differentiating w.r.t. r,
We have given, Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.
i.e.
Integrate w.r.t. t,
Assuming V=0 when t=0 then C=0
So,
Now, we apply chain rule
i.e.
The radius increasing after 2 minutes i.e. at
Therefore, the rate of change of radius is 0.0530 ft/sec.
3rd option
Hope this help!!!!
Answer:
350.
Step-by-step explanation:
Let x be the number of sales previous year.
We have been given that the sales of new cars at a dealership increased by 3% this year to 360.
We need to find x such that x plus 3% of x equals 360. We can represent this information in an equation as:
Upon dividing both sides of our equation by 1.03 we will get,
Therefore, the number of sales the previous year was 350.
Answer: p < -8
Step-by-step explanation:
I really hope this is right ! Pleas forgive me if it isn’t . A mathematical analysis of integration of intergal . So basically the region that is bounded . (Example [DX]