Monday, February 6, 2017

Term 2, Weeks 9-11 Discussion

Turn in #11 is due Wednesday, Feb. 15, 2017!

This is for discussing assignments from WEEKS 9-11, including homework, turn-in #11, the Term Project, in-class work or lessons, or anything else related to the class from these weeks.  Please be sure to include your name at the end of your post for credit.  When answering a question, DO NOT GIVE SOLUTIONS! Provide hints or explain a method that you used, but do not give the final result.  As always, RESPECT IS A MUST! Anyone abusing this forum will be banned from future use (meaning, no extra credit!!!)

49 comments:

  1. For 2a would it make more sense to find the area in terms of y or x?

    Andrew Saad

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  2. Is it possible to solve 1a with only one integral?

    Andrew Saad

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    1. Only one integral is necessary. Keep in mind that for 1a only region R is being revolved.

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  3. for 2B on the back, how are we supposed to graph with just an x and y axis? does it mean for us to graph it parametrically like it would occur on our calculator?
    -Nate Wagner

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  4. TYPO ALERT: On question #4 please change the word "grapefruit" to "bird" and, more importantly, change in part (b) the time "t=1.5" to "t=1.25". Thanks, Management.

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  5. for 4d on the turn in, can we use the given in 4b?

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  6. For number one is it easier to use washers or shells?

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    1. I would only use shells when revolving about a vertical axis and you have a function that is not easy to solve for x in terms of y.

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  7. how do i include the y=-2 for 1a when setting up my integral?

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    1. Draw a picture. Ask yourself, "what is the inner radius?" and "what is the outer radius?" of the solid once revolved about the given line.

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  8. Is the turn-in due wednesday or thursday? On the board it said thursday but here it says wednesday...

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    1. For the term project, when finding the limit of our equations, do we have to find the limit of both x(t) and y(t) or is finding the limit of one enough?

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  9. For the term project, when finding the limit of our equations, do we have to find the limit of both x(t) and y(t) or is finding the limit of one enough?

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    1. Well, how useful is the limit in question? It will depend upon your motion. If your x and y positions continue to change over time, then only knowing one of those limits isn't very helpful. For example, if I know that my x function will approach a set value, say x = 4, as time goes to infinity, that's cool and all, but that still leaves an INFINITE number of places my object can be (anywhere along the vertical line x = 4).

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  10. For 4b, should 5 and 2 be switched when plugging them into the equation in order to make the line tangent?

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    1. See the answer below...the question is worded correctly.

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  11. What does it mean for f to be the inverse relation of the position function in 4b?

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    1. An inverse relation is mapping from the range of a function to its domain. For example, if the function is y=x^3, then the inverse relation (which is a function in this case) is y = x^(1/3).

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  12. For 2c on the turn in (the one on the back page) it asks how many times the pineapple passes through the point found in part a. Is that between t=0 and t=4, or is it time indefinitely?

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  13. For Question 4B on the Turn-In, what does the question mean when it states "let f be defined as the inverse relation of the birds position function"? Thanks,
    Matt Bachand

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  14. Hey so I've been stuck on this one question on the turn in for like AN HOUR. The question is called 4e and it says "What five letter word gets shorter when you add two letters to it?" which simply does not make sense. If you add two letters to a word it will get 2 letters LONGER, not SHORTER. Can someone please help me? Thank you

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    1. See, Ian, your problem here is you're overthinking it! In elementary school, we learned that the word "is" is a word for =. If we think about this mathematically, it asks "What five letter word becomes, or is, shorter when you add two letters. It gives you the answer in the problem! Sorry, I know this might be a little over your head, stick with it I'm sure it'll come to you.

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  15. According to some dictionary out there, the word that you are looking for means "measuring a short distance from end to end", and is of Germanic origin. Someone who lacks height may be called this.
    Matt Bachand

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  16. For the turn in book work p 443 #49 it wants us to find the surface area of the solid. Should we know how to do this/is it an important formula to learn?

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    1. There was a formula that we never used on one of our notes sheets but you don't need it for 49 because of your answer for part a.

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    2. Surface area is not a BC calculus topic

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  17. On 3a, when I'm solving for y=ax^2+bx after figuring out that c=0, how do I find a value for a or b as the equation would then be 0=0. In other words, how do I go from y=ax^2+bx to a value for a or b?

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    1. It is given that the parabola is symmetric to the y-axis. This tells you A LOT!

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  18. How do we know how many times the pineapple passes through the point in part a?

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    1. You could use your calculator with very small t-steps to "watch" the pineapple move. Or, look at the table of x and y values on the given t interval.

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  19. I'm glad I found the where the rancor will be at t=3 so I don't go there I was worried. Also, do we need to include units for everything or just volume or does it not matter?

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    1. Indeed. Units are not provided, thus they are not counted in the scoring.

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  20. For parametric equations there is that function where we can graph in term of T on our calculator. I know it is useful for seeing the paths in real time, but is this a required skill for the quiz or the AP, or is it just a way to check that objects are intersecting at a certain time? Do we need this in order to solve any problem?

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    1. You can "get away" with manipulating all functions in rectangular mode, but this means dealing with X and y functions separately. You should know how to graph vector functions in parametric mode and use the features to find X and y values at given t.

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  21. For the term project, is it weighted the same as a turn-in (I see it's almost the same amount of points). Do we need two different functions for the different perspectives?

    Chance Stephenson

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    1. See the syllabus for grade weights. The multiple perspectives applies to the physics requirements only.

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  22. Do the two different perspectives on the project just refer to position in terms of the x and y axis AKA parametric equations?

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  23. Also for the project- Do you want the written work for the first part on the rubric where we calculate the G's? Or do you only want the work under the BC Calc section?

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  24. Are we going to be learning new material before the final? Or will this week be review?

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    1. An entire week of review is ambitious...we have much still to cover by May 9...

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