15 Growth and Decay

# 15 Growth and Decay - 15 GROWTH AND DECAY 1 A potato is put...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 15. GROWTH AND DECAY 1. A potato is put into an oven whose temperature remains constant at 200 C. The temperature H of the potato changes according to ) 200 (-- = H k dt dH where k is a positive constant. Here H is measured in C and time t is measured in minutes. The temperature of the potato is 20 C when it is placed in the oven. After 30 minutes the temperature of the potato is 120 C. (a) [7 marks] Find k . __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[3 marks] The potato is ready to be eaten when its temperature is 180 C. How many minutes after it has been placed in the oven will this occur? __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ VET Calculus 92 15. Growth and Decay 2. A bacterial culture is placed in a large glass bottle. The volume of the culture doubles every hour, and the culture fills the bottle after 24 hours. (a) [2 marks] If the culture is placed in the bottle at time t = 0, when does the culture half fill the bottle? __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[8 marks] While the volume of the culture is less than 1% of the volume of the bottle, the culture is not visible. After this stage of growth the culture is visible. If the culture is placed in the bottle at time t = 0, how long does it take for the culture to become visible? = 0, how long does it take for the culture to become visible?...
View Full Document

## This note was uploaded on 09/01/2010 for the course MATH MAT1300 taught by Professor Mcdonald during the Spring '10 term at Acadia.

### Page1 / 14

15 Growth and Decay - 15 GROWTH AND DECAY 1 A potato is put...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online