Turn in #7 is due Monday, Nov.10, 2014!
This is for discussing assignments from Week 10, including homework,
turn-in #7, and in-class work or lessons, or anything else related to the
class from this week. 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!!!).
While graphing our roller coasters for the term project, does the height of it have to be realistic? Meaning does the roller coaster have to reflect the size of a real roller coaster?
ReplyDeleteThanks,
Rachel Hersch
No, scale is not relevant in this case. I'm mostly concerned with the function being differentiable throughout its domain. I encourage creativity, though!
DeleteWhen finding the area under a curve, why does MRAM and trapezoids always have the same approximation?
ReplyDeleteThanks,
Rachel Hersch
Interesting question. Does MRAM ALWAYS return the same value as trapezoid method? Consider how the heights of each method are found...
DeleteMRAM doesn't always return the same value as the trapezoid method.
Delete-Rafey Rehman
Mr. Wilson discussed the reason for the similarity of the two methods in class. It had something to do with MRAM using average x values of the approximations and the trapezoid method using average y values of the approximations.
Delete-Rafey Rehman
If a problem doesn't specify whether or not we are allowed to use a calculator, what should we assume?
ReplyDeleteThanks,
Allison Honet
It is always best to assume it is to be done without a calculator. You may use a calculator for the swimming pool problem.
DeleteI don't understand why the antiderivative of cos(x) is sin(x) and not -sin(x). Could someone please explain?
ReplyDeleteThanks,
Amanda Bachand
If you take the derivative of –sin(x) you will get –cos(x). However, if you take the derivative of sin(x) you will get cos(x). Therefore, the antiderivative of cos(x) is sin(x)
DeleteRachel Hersch
What do the bold numbers on the graph of problem #4 on the turn in represent? Is it the area between the curve and the x axis?
ReplyDeleteThanks,
Amanda Bachand
Those are the areas of the respective regions.
DeleteFor 1c on the turn in do you add 1 to the integral as a whole, to the end points, or each point on the interval?
ReplyDelete-Abby Siegal
No to all of the above. What is the "+1" doing to the function? Hint:it is a translation of some sort, so consider how the limits of integration will be affected.
DeleteWhen taking the anti derivative of a variable over a constant like in number 26 of the book work for tonight, can you multiply the constant in the denominator by n+1? If not how would you take that anti derivative?
ReplyDeleteThanks, Emma Gijsbers
Treat x/k as 1/k times x. Then, use the constant multiple property and just pull the 1/k out front.
DeleteFor the test tomorrow, do we need to be able to recognize the derivatives of functions such as tanx, cosx, or ln(kx)? Thank you!
ReplyDelete-Maggie Hammond
Not tomorrow.
DeleteFor the test tomorrow will we have to be able to find the average value of a function?
ReplyDeleteThanks,
Sarah Fried
The test covers 5.1-5.3, 5.5. Average value of a function is in section 5.3 so I would assume so.
DeleteAngela Satullo
Tomorrow's quiz is on area methods (RAMs, trapezoids) and properties of definite integrals. No average value or anti differentiation yet...
DeleteI always mix up RRAM and LRAM when using tables. Is there a trick to remembering them?
ReplyDeleteThank you,
Angela Satullo
I would consider plotting the data in a graph, or circling/highlighting the end points of each sub interval so you can tell which value is the left vs right endpoint.
DeleteWhat's the rule for how many subintervals should be used for LRAM, MRAM, and RRAM?
ReplyDeleteYou will always be told in the question how many subintervals to use.
Delete-Eva A-L
If you are doing LRAM, do all the rectangles have to have the same width? I am wondering this specifically in terms of 5b on the Turn-In.
ReplyDeleteThank you,
Julia Berthel
No. We did an example in class the first day with unequal sub intervals. On the AP they will specify "use n sub intervals of width determined by the data" or "use n sub intervals of equal width".
DeleteIs the equation (1)/(x+k)(dx) the same as (dx)/(x+k) for summation equations? Thank you!
ReplyDelete-Maggie Hammond
Yes, it is equivalent to saying that a/b = 1/b times a.
DeleteOn 4b on the turn in, is the function of x, the position function?
ReplyDeletex(t) would be the position function. The graph shown is the function v(t), the derivative of x(t).
ReplyDelete-Allison Honet
for 5 a on the turn-in, should we assume that between 0<t<10, the acceleration is constant?
ReplyDeleteThanks,
Marie Suehrer
Is there any general rule for when LRAM will be an over approximate or under approximate when looking at a graph?
ReplyDeleteThanks!
Laura Goo
LRAM under approximates when the function is increasing and over approximates when the function is decreasing.
Delete-Lexi Kizy
This comment has been removed by the author.
ReplyDeleteThis board is now closed for points. Please use the Week 11-12 discussion board.
ReplyDelete