Turn in #6 is due Tuesday, Nov. 15, 2016!
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For #4 on the turn in, i'm pretty sure we use L'hospitals (the spelling was on purpose) and use the fundamental theorem of calculus right? just checking. Also, the first page is throwing me off a bit.
ReplyDelete- Nate Wagner
I meant to reply but i made a new comment on accident. It is down below.
Deletelove,
Andrew Saad
Front page is all using the properties of definite integrals, especially the sum/difference properties.
DeleteYes for #4 we use L' Hopital's because it is a 0/0 function.
ReplyDelete- Andrew Saad
That's what I would do if I were me...
Deleteyes because it is in indeterminate form
DeleteEstelle
For 5c does speed depend on direction or not?
ReplyDelete- Andrew Saad
No, speed does not depend on direction. Just take the magnitude of velocity.
Delete- Evan Gilman
For problem 6b when it says "LEFT Riemann sum", is that the same as taking LRAM?
ReplyDelete-Evan Gilman
Not 100% sure, but I think this means that when you're finding your heights "f(deltaX)" you would be taking the left points. So, do the same thing as a Riemann Sum but use the left point heights (widths are of equal length).
DeleteYes, they want LRAM
DeleteDoes 6a involve finding the change of v over t for 0-10 seconds in order to find where the acceleration is at t=5?
ReplyDeleteyes, it is an approximation of a(5) so use the smallest subinterval containing t=5.
DeleteDoes 7 involve taking the sum from -2 to each point? Like for 7a should the sum be taken for -2 to -3?
ReplyDeletecorrect
DeleteDo we use L'Hopital's for #4 on the turn in?
ReplyDeleteYes, see above
DeleteThe due date is changed to Thursday 11/17/16. You're welcome.
ReplyDeleteWhat's the difference between when a question asks to solve the definite variable and find the area? (If there is a difference)
ReplyDeleteWhat's the difference between when a question asks to solve the definite integral and when it asks to find the area? (If there is a difference)
ReplyDeleteA definite integral will calculate the SIGNED area of a function over a certain interval. When a question asks for the area, this is asking for total area, regardless of sign. So, one could either take the definite integral of the absolute value of the function (putting everything positive), or one could find where the function crosses the x-axis and find the integral before it and after it (as many times as it crosses) and add. If you're in physics, this is similar to the difference between distance and displacement... distance is a scalar quantity and doesn't care about direction, where as with displacement a positive quantity will cancel out a negative quantity.
DeleteIs the anti derivitive of the second derivitive just the first derivitive? and is this how you solve #3?
ReplyDeleteIt is, but you don't *need* the antiderivative to solve 3. Sketching graphs for the function and the two derivatives helps to solve it more easily
DeleteOn number 4 of the turn in, when you take the derivative of a summation does it just stay the same?
ReplyDelete