Turn in #7 is due Tuesday, Nov. 17, 2015!
This is for discussing assignments from WEEKS 10-11, including homework,
turn-in #7, FINAL EXAM REVIEW, in-class
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For #3, I'm a little confused. It gives the anti-derivative graph and wants us to graph the original but we can't graph it because it could start on any place on the Y-axis.
ReplyDelete-Sam Warshaw
This is just like the last part of question 6 we did in class Friday.
DeleteFor the roller coaster project, the rubric says "below each function, write the function's rule." I guess I'm a little confused what that means. Can anyone clarify?
ReplyDeleteWrite the function rule for that piece of the curve. You are creating a piece wise function that must be differentiable everywhere.
DeleteHow do we determine if a closed or open interval (include or disclude endpoints) should be used when asked: on what interval is the function increasing/decreasing?
ReplyDelete-Sarah Mostofizadeh
A function is increasing when its derivative is positive, so you have to look at the value of the derivative at the endpoint.
DeleteIf the endpoints are ever on 0, then use an open interval, because it's neither increasing nor decreasing on that point. If the endpoint, say, appeared to be, or was a part of a line with a downward or upward slope, and was not on the x-axis, and it's the endpoint of the interval you are looking for, then it can be closed. Imagine if a problem asked on what interval is the function increasing when we're given the derivative, and the intervals were 0,3 and 5,6. If 0 is on 0, then the function is neither increasing nor decreasing-open interval. But, say 6 is the end of the graph, and it ends with a positive slope at y coordinate 5. 6 would still be a point where the function is increasing and a closed interval can be used.
DeleteSORRY THIS WAS SO LONG!
-James Gruich
For #4, can graphing the table values of g(x) to prove concavity be enough to prove which table is g(x)? Or is there a more precise way to show which table best fits these requirements?
ReplyDelete~Grayson Wiggins
I said that because it is always decreasing and positive the integral before 0 is negative because it's a backwards integral, but after 0 the integral is positive but because it's decreasing the magnitude of the integral is smaller than before 0.
DeleteFor 1d, should the trapezoidal approximation have integral form in it, since we don't know the actual formula of f(x)? Like, 3/2((5+integral of f(x) from 6-0)+(5+integral f(x) from 6-3)+...?
ReplyDelete-James Gruich
You don' need to use the integral in the approximation, you only need the endpoints for the sides of the trapezoid, so it would look like 3/2(-1+0) for the first one.
Delete-Jazmyn Rivera
Can we use calculators on tomorrow's quiz?
ReplyDeleteYes, you can use a calculator on the quiz we took this morning 😀 Sorry, I did not see this sooner.
DeleteCan anyone explain how I would sole #64 on the bookwork. I don't know how to start or what tools to use
ReplyDelete-Colin Pocock
The structure of the function suggests applying FTC. Perhaps showing what the absolute maximum of the function is (hint, it is 1) and justifying that this value is only achieved once for all t>0.
DeleteAre we being graded on the accuracy of our drawings on the roller coaster? If I have the right equations but it doesn't quite fit on the poster board is that okay?
ReplyDeleteThat is fine. The mathematics is the most important.
DeleteFor the roller coster project, if we have an equation like a circle, can we just use the part of the equation that is connected to the graph (like the bottom half of the circle) and prove that that is continuous and differentiable?
ReplyDelete-Sarah Mostofizadeh
Yes.
DeleteUhm so I finished my Roller Coaster Project. Only issue is that my end points don't match on the poster, but in my data, they do match. Is this fine Mr. Wilson? ( I'm not the best artist)
ReplyDeleteWord, Nerd!
DeleteHow do you find asymptotes to the graph of a function (12a on the review)? I can't remember...
ReplyDeleteVertical asymptotes occur when a denominator is 0, but not indeterminate. Horizontal asymptotes can only occur when limits at infinity exist.
DeleteThis might be a really stupid question, but for problem 14 on the review (Find two nonnegative numbers whose sum is 20 and the sum of their squares is a maximum), what do you mean by sum of their squares? And how do you find it? This is probably a really simple process, but I'm completely drawing a blank
ReplyDeleteIt is an optimization problem. You want to maximize x^2+y^2, with the relationship that x+y=20. Use the relationship to substitute into the function above so that it is only one variable, then you can find its absolute maximum.
DeleteIs the answer sheet right? I got a different kind of answer for 25 than on the sheet?
ReplyDeleteyeah, some of the answers I got don't match up either...
Delete-Jazmyn Rivera
I think the answer sheet and final review don't match up. On the answer sheet there is a number 27, but on the final review there isn't.
DeleteThis comment has been removed by the author.
ReplyDeleteQuestion for a small part of the review, on 5k. I got 3x^2/(-3y^2+8) for my final answer, bu that differs from the solution on the key. Is there a problem with the key on this one or is there something specific I'm missing?
ReplyDelete-James Gruich
For the top I think you forgot to use the product rule. For the bottom there is just a simple sign error, recheck your work.
Delete-Colin Pocock