Water is being poured at a constant rate into a "Dixie cup" (a standard inverted cone that is smaller the cup is a function of the volume of water in the cup. The graph of this function is: Hint: sketch a graph of the height as a function of volume / or time A) increasing and concave up. B) increasing and concave down.

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 20**

Water is being poured at a constant rate into a "Dixie cup" (a standard inverted cone that is smaller at the bottom). The height of water in the cup is a function of the volume of water in the cup.

The graph of this function is:

**Hint:** Sketch a graph of the height as a function of volume/time.

- **A)** Increasing and concave up.
- **B)** Increasing and concave down.
- **C)** A straight line with positive slope.

**Diagram Description:**

There is an illustration of an inverted cone, labeled with height `h` and radius `r` at the top.
Transcribed Image Text:**Question 20** Water is being poured at a constant rate into a "Dixie cup" (a standard inverted cone that is smaller at the bottom). The height of water in the cup is a function of the volume of water in the cup. The graph of this function is: **Hint:** Sketch a graph of the height as a function of volume/time. - **A)** Increasing and concave up. - **B)** Increasing and concave down. - **C)** A straight line with positive slope. **Diagram Description:** There is an illustration of an inverted cone, labeled with height `h` and radius `r` at the top.
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