It has been eight weeks already...wow. Anyways this week was review, review, and review for our exam.
First of all, I realized that multiple choice is my best friend because of eliminating. Also, always plug in to your calculator if everyting else fails. And both of those things really helped with the chapter 3 packet.
So the things that are finally clicking in my head:
1. The limit does exist at a removable (thanks John).
2. When it gives you the graph of f and you are suppose to find the graph of the derivative of f. (like #4 on chapter 3 m/c pakcet)
3. And to make sure my calculator is in radians when needed.
Now for some example problems I can actually work:
1. Find the value of c guaranteed by the INtermediate Value Theorem. f(x)=x^2-2x-3,[4,8], f(c)=12. And the choices are A) 3 B) 2 C) 5 D) 7 E) 6
All you do is plug in each choice for your x and which ever one gives you 12 is your answer. f(x)=x^2-2x-3 =5^2-2(5)-3 =12 So, the answer is C) 5.
2. Find the limit. lim sinx when x-->pi/4
This is real simple, just plug in. sin(pi/4)= squareroot of 2/2
For stuff I don't know:
1. I'm still ify with finding primary and secondary equations for optimization.
2. Also, chapter one stuff with limits, for some reason I still cannot do grasp limits. Can anyone look at that packet explain to me how to do #2, part b?
3. And what is the derivative of tan^8x? Do I bring the 8 to the front?
4. (#9 on chapter 2) Find the slope of the graph of the function at the give value. f(x)=2x^2+4x-6/x^2 when x=5 The answer is suppose to be -3012/125. I can get the bottom number, but for some reason I can't get the top number. I might be doing the derivative wrong. Someone help?
Hope someone can help me! Well I guess it's back to studying for my other exams :(
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