R<c+cos(n*theta) Slider C=47 Slider=-53.415 R=acos(B*theta) Slider A=42 Slider B=-6.925
What are limits?-Limits are how close something can get to a number.
How can we tell if a limit exists?-If it isn't approaching -1 from the left or 1 from the right. How do limits help us explain function behavior at points of discontinuity?-They help us show the behavior discontinuity as it reaches the point of discontinuity. Domination between factors and zeros: If you set the factors equal to zero it helps you find the zeros to solve the problem.
How division helps us factor polynomials: Finding the easy zeros is pretty easy! But finding the zeros is not very hard if you use synthetic division to find the rest. How does the degree of polynomial help us to predict the number of zeros the degree of the polynomial helps us determine the amount of factors. That tells us the amount of factors. We graphed y=x^2 and then graphed the inverse. Then graphed a dotted line at y=x and then folded the paper on the dotted line.
A.On the first graph (14 inch) I was a little off because i didnt think the board would travel so fast and have a low max distanceand travel backwards quite a bit slower then it went forward.On the second graph ( 7 inch) i was really close i just had the seconds off from the distance by maybe a second a foot. And on the third graph (21 inch) I predicted that the speed on the board was going to travel faster and slowly rise to the peak and roll backwards faster then when it traveled forward but i was wrong.
B. 21 inch ramp=(0,65)U(65,20) 14 inch ramp=(0,55)U(55,22) 7 inch ramp=(0,43) C. Between all the ramps the 21 and 14 inch ramps they both had similar maximums. And the the maximum on the 7 inch ramp doesnt have nearly close to as high of a maximum as the other 2 graphs but it just stops there and the other 2 decrease from their maximums. D.The graph rises the fastest when the board is just leaving the ramp and the fastest the graph drops is when the board starts to pick up speed when rolling backwards. E.Pictures are posted above. |
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April 2015
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