34. Q15
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Similar Question 1
<p>Which parent function has the given characteristics?</p> <ul> <li>The domain is not all real numbers, and <code class='latex inline'>f(0)= 0</code></li> <li>The graph has an infinite number of zeros.</li> <li>The graph is even and has no sharp corners.</li> <li>As x gets negatively large, so does y. As x gets positively large, so does y.</li> </ul> <p>Explain.</p>
Similar Question 2
<p>The blades of a particular windmill sweep in a circle 10 m in diameter. Under the current wind conditions, the blades make one rotation every 20s. A ladybug lands on the tip of one of the blades when it is at the bottom of tis rotation, at which point the ladybug is 2 m off the ground. It remains on the blade for exactly two revolutions, and then flies away.</p> <ul> <li>Is the rate of change of the ladybug&#39;s height affected by where the blade is in its rotation when the ladybug lands on it?</li> </ul>
Similar Question 3
<p>Refer to question 1. Suppose each sketch in parts a) and b) begins when the radius from the centre of the wheel to your car is along the negative y-axis. Sketch a graph of your horizontal displacement versus the angle through which you turn for one rotation of the wheel. Which function models the horizontal displacement? Justify your choice.</p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>Which parent function has the given characteristics?</p> <ul> <li>The domain is not all real numbers, and <code class='latex inline'>f(0)= 0</code></li> <li>The graph has an infinite number of zeros.</li> <li>The graph is even and has no sharp corners.</li> <li>As x gets negatively large, so does y. As x gets positively large, so does y.</li> </ul> <p>Explain.</p>
<p> From a point <code class='latex inline'> 50 \mathrm{~m} </code> from the base of the Skylon Tower in Niagara Falls, the angle of elevation of the top of the tower is <code class='latex inline'> 78^{\circ} </code> . Find the height of the tower, to the nearest metre.</p>
<p>You are in a car of a Ferris wheel. The wheel has a radius of 10 m and turns counterclockwise. Let the origin be at the centre of the wheel. Begin each sketch in parts a) and b) when the radius from the centre of the wheel to your car is along the positive x-axis.</p><p>Sketch a graph of your vertical displacement versus the angle through which you turn for one rotation of the wheel. Which function models the vertical displacement? Justify your choice.</p>
<p>The hour hand on a clock has a length of 14 cm. Let the origin be at the centre of the clock.</p><p>Sketch a graph of the horizontal position of the tip of the hour hand versus the angle through which the hand turns for a time period of 48 h, assuming the hour hand starts at 3.</p>
<p>Refer to question 1. Suppose each sketch in parts a) and b) begins when the radius from the centre of the wheel to your car is along the negative y-axis. Sketch a graph of your horizontal displacement versus the angle through which you turn for one rotation of the wheel. Which function models the horizontal displacement? Justify your choice.</p>
<p>The hour hand on a clock has a length of 14 cm. Let the origin be at the centre of the clock.</p><p>Sketch a graph of the vertical position of the tip of the hour hand versus the angle through which the hand turns for a time period of 48 h. assuming the hour hand starts at 9.</p>
<p>The hour hand on a clock has a length of 14 cm. Let the origin be at the centre of the clock.</p><p>How many cycles will appear in the graph of part a) if you use the minute hand rather than the hour hand? Explain your prediction.</p>