 |
| 1 | |
| When is the function |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch3_q1.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>]]> | increasing? |
|
| | A) | x > 3 |
| | B) | -3 < x < 3 |
| | C) | x < -3 and x > 3 |
| | D) | |x| < 3 |
|
|
|
| 2 | |
Find the local extrema of the function y = x3 + 4x2 - 3x - 1 . |
| | A) | x = -3 or x = 1/3 |
| | B) | x = 3 or x = 1/3 |
| | C) | x = 3 or x = - (1/3) |
| | D) | x = -3 or x = - (1/3) |
|
|
|
| 3 | |
The volume of water in a reservoir over a given day, in millions of litres, can be modelled by the function V (t) = - 0.05t2 + 1.35t + 15.8875 , where t is hours after midnight. At what time does the volume of water in the reservoir hit its peak? |
| | A) | 12 pm |
| | B) | 12:30 pm |
| | C) | 1:30 pm |
| | D) | 2 pm |
|
|
|
| 4 | |
Given the graph of f ’’(x) shown:
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070735824/582659/CV12_Ch3StudyQuiz_question4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (37.0K)</a>]]>
Which of the following could be the graph of f (x)?
|
| | A) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070735824/582659/CV12_Ch3StudyQuiz_question4a.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (38.0K)</a>]]>
|
| | B) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070735824/582659/CV12_Ch3StudyQuiz_question4b.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (38.0K)</a>]]>
|
| | C) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070735824/582659/CV12_Ch3StudyQuiz_question4c.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (38.0K)</a>]]>
|
| | D) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070735824/582659/CV12_Ch3StudyQuiz_question4d.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (38.0K)</a>]]>
|
|
|
|
| 5 | |
Find the points of inflection of p (x) = x4 - 8x3 - 72x2 + 40x - 5 |
| | A) | x = 2 or x = 6 |
| | B) | x = -2 or x = 6 |
| | C) | x = -2 or x = -6 |
| | D) | x = -2 or x = 1/6 |
|
|
|
| 6 | |
When is the function y = x4 + 2x3 - 12x2 concave down? |
| | A) | x < -2 |
| | B) | x > 1 |
| | C) | x < -2 and x > 1 |
| | D) | -2 < x < 1 |
|
|
|
| 7 | |
Where are the vertical asymptotes for the function
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch3_q7.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>]]> ? |
| | A) | x = 1 |
| | B) | x = ±(1/4) |
| | C) | x = ±(1/2) |
| | D) | x = ±1 |
|
|
|
| 8 | |
The height of a rocket launched into the air can be modelled by the function h (t) = -4.9t2 + 112.7t + 1.5 where t is time in seconds after launch and h is height in metres. Find the maximum height of the rocket to the nearest metre. |
| | A) | 650 m |
| | B) | 625 m |
| | C) | 600 m |
| | D) | 575 m |
|
|
|
| 9 | |
A rectangular pen is to be built with 1500 m of fencing. The pen is to be divided into four parts using three parallel partitions. Find the maximum area of the pen. |
| | A) | 50 025 m2 |
| | B) | 56 250 m2 |
| | C) | 57 775 m2 |
| | D) | 140 625 m2 |
|
|
|
| 10 | |
A lidded box in the shape of a square-based prism is to be constructed to hold toy soldiers. The material for the sides costs $0.50/cm2, while the material for the lid and bottom costs $0.75/cm2. If the volume of the box is to be 500 cm3, what dimensions will minimize the cost of the box? |
| | A) | base = 10.4 cm, height = 6.9 cm |
| | B) | base = 9.5 cm, height = 7.2 cm |
| | C) | base = 7.2 cm, height = 9.5 cm |
| | D) | base = 6.9 cm, height = 10.4 cm |
|
|
.