please a,b,c,d and thank you!! а.Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = ar'and its surfacearea is 4xr'. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r = 10 att = 0.(Use symbolic notation and fractions where needed.)VPdtcm?/minb.A rocket travels vertically at a speed of 1200 km/hr. The rocket is tracked through a telescope by an observer located 17 km fromthe launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after the lift-off.(Give your answer to two decimal places.)derad/hrdtС.Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = ar'and its surfacearea is 4zr. Determine the rate at which the volume is changing with respect to time at t = 2 min, assuming that r = 0 at t = 0.(Use symbolic notation and fractions where needed.)APdtcm'/mind.Two parallel paths 21 m apart run east-west through the woods. Brooke walks east on one path at 6 km/h, while Jamail walkswest on the other path at 4 km/h. If they pass each other at time 1 = 0, how far apart are they 8 s later, and how fast is thedistance between them changing at that moment?(Use decimal notation. Give your answer to three decimal places.)distance between them:metersdLm/sdt

Answered: Image /qna-images/answer/82ff8caf-1ac9-4183-8bfa-ed545216ce74.jpg

Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = xr'and its surface area is 4xr. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r= 10 at t = 0.

Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = xr'and its surface area is 4xr. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r= 10 at t = 0.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

please a,b,c,d and thank you!!

а.
Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = ar'and its surface
area is 4xr'. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r = 10 at
t = 0.
(Use symbolic notation and fractions where needed.)
VP
dt
cm?/min
b.
A rocket travels vertically at a speed of 1200 km/hr. The rocket is tracked through a telescope by an observer located 17 km from
the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after the lift-off.
(Give your answer to two decimal places.)
de
rad/hr
dt
С.
Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = ar'and its surface
area is 4zr. Determine the rate at which the volume is changing with respect to time at t = 2 min, assuming that r = 0 at t = 0.
(Use symbolic notation and fractions where needed.)
AP
dt
cm'/min
d.
Two parallel paths 21 m apart run east-west through the woods. Brooke walks east on one path at 6 km/h, while Jamail walks
west on the other path at 4 km/h. If they pass each other at time 1 = 0, how far apart are they 8 s later, and how fast is the
distance between them changing at that moment?
(Use decimal notation. Give your answer to three decimal places.)
distance between them:
meters
dL
m/s
dt

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