Well this week was a very fun and exciting week with Thanksgiving and my birthday being yesterday :), i have been working on the packet throughout the week and there are parts on there i am very confused about. For example, the ones that say to solve for dy/dx subject to initial condition, how do you even start those, i do not understand where the initial position comes in at. Another example of some things i am confused about is when they ask to approximate the area under a certain place using different Riemann Sums, is that a form of linearization or is it just plain integration. One other part i am confused about is when they ask to find the area of a region enclosed by two functions and two numbers. For example:
y=x-4 and x=-4y^2+21y+148 between y=-1 and y=5. Do i have to solve the x function for y? or do i have to do something else.
Some of the things i do understand is the Left and Right Riemann Sums: For Left Riemann sums, you find your delta x which can be found by b-a/n and then you times the delta x by [f(a)+ f(a+delta x)+.. f(b-delta x)]
For right Riemann sums, you find the delta x just like left riemann but you use a different formula. For right, you times delta x by [f(a+delta x)+...+f(b)]
Well as far as the packet goes, besides just regular indefinite and definite integrals that basically the whole packet: but here are some things we still have to remember throughout calculus.
Related Rates: this is the one thing i have learned in calculus that i have success with lol. Just remember when dealing with related rates, always write the given. Then you figure out what formula they want you to use. After that, take the derivative of the function and plug in what you are given and solve for the unknown.
Well that's all for this past week folks, if anyone can help me with the problems i have listed above, it will be very helpful. I hope you all have a good weekend :)
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