Exponential Growth Test Help Needed | Calc II Summer

AI Thread Summary
A student in a summer Calc II course seeks help with a take-home test on exponential growth, noting the assignment's significant impact on their grade. They mention that while they have covered differential equations, they are still unfamiliar with the topic and prefer their current method of solving the problems. Another participant asks if they understand separation of variables, indicating a potential approach to the problem. The student expresses appreciation for any assistance, highlighting the collaborative nature of the assignment. Overall, the discussion centers on seeking clarification and support for understanding exponential growth concepts.
giant016
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I'm in Calc II for the summer, but for some reason my teacher gave us a take-home test on exponential growth. She said we could work together and such, but the class didn't have time, so I was wondering if somebody could check it for me. It seems pretty straight to me, but it's a large chunk of my grade and my friends/parents wouldn't be of much help, so I would greatly appreciate it if any of you could give it a looking over. My answer sheet is neater, but this has all the work on it. Thanks.
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It couldn't look better really.
 
man why didn't he teach you the DE that this comes from, have you been introduced to differential equations yet?
 
Thanks Dick.

Ice, we have done differentital equations. She said we could do this any way we wanted, and this way I really knew how to do and I'm still a little unfamiliar with DEs.
 
giant016 said:
Thanks Dick.

Ice, we have done differentital equations. She said we could do this any way we wanted, and this way I really knew how to do and I'm still a little unfamiliar with DEs.

do you know how to do separation of variables?
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...

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