Question

Notify Me Bookmark

A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 10 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). r(t) = (b) If V is the volume of the balloon as a function of the radius, find V∘r. (V∘r)(t) = Interpret the answer found in part (b). This formula gives the volume of the balloon (in cm3) as a function of time (in seconds). This formula gives the amount of time (in seconds) the balloon has been inflating as a function of V.

A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 10 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). r(t) = (b) If V is the volume of the balloon as a function of the radius, find V∘r. (V∘r)(t) = Interpret the answer found in part (b). This formula gives the volume of the balloon (in cm3) as a function of time (in seconds). This formula gives the amount of time (in seconds) the balloon has been inflating as a function of V.

Image text
A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 10 c m / s . (a) Express the radius r of the balloon as a function of the time t (in seconds).
r ( t ) =
◻ (b) If V is the volume of the balloon as a function of the radius, find V ∘ r .
( V ∘ r ) ( t ) =
◻ Interpret the answer found in part (b). This formula gives the volume of the balloon (in c m 3 ) as a function of time (in seconds). This formula gives the amount of time (in seconds) the balloon has been inflating as a function of V .

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50 cm/s. (a) Express the radius r (in cm ) of this circle as a function of time t (in seconds). r(t) = cm (b) If A is the area of this circle as a function of the radius, find A∘r. (A∘r)(t) = Interpret your answer. This formula gives the extent of the rippled area (in cm2) at any time t. This formula gives the circumference of the rippled area (in cm ) at any time t. This formula gives the radius of the rippled area (in cm) at any time t.
Solution
0 0

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $444 to drive 380 mi and in June it cost her $600 to drive 900 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d) = (b) Use part (a) to predict the cost of driving 1900 miles per month. $ (c) Draw the graph of the linear function. What does the slope represent? It represents the distance (in miles) traveled. It represents the cost (in dollars) of driving. It represents the fixed cost (amount she pays even if she does not drive). It represents the cost (in dollars) per mile. (d) What does the C-intercept represent? It represents the cost (in dollars) per mile. It represents the fixed cost (amount she pays even if she does not drive). It represents the distance (in miles) traveled. It represents the cost (in dollars) of driving. (e) Why does a linear function give a suitable model in this situation? A linear function is suitable because the monthly cost increases even if the miles driven is constant. A linear function is suitable because the monthly cost is fixed despite the fact that the miles driven may vary. A linear function is suitable because the monthly cost increases as the number of miles driven decreases. A linear function is suitable because the monthly cost increases as the number of miles driven increases.
Solution
0 0

The manager of a furniture factory finds that it costs $2600 to manufacture 60 chairs in one day and $4800 to produce 260 chairs in one day. (a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. C = Sketch the graph. (b) What is the slope of the graph? What does it represent? It represents the cost (in dollars) of operating the factory daily. It represents the cost (in dollars) of producing each additional chair. It represents the time (in days) to produce each additional chair. It represents the number of chairs produced. (c) What is the y-intercept of the graph? What does it represent? It represents the fixed daily cost (in dollars) of operating the factory. It represents the time (in days) to produce each additional chair. It represents the number of chairs produced. It represents the cost (in dollars) of producing each additional chair.
Solution
0 0