<p>Because of severe lack of interest in a different competition thing I initiated early last week, I’ve decided to take an easier step in helping us start calculus review without taking great amounts of time while still keeping the competition element.</p>
<p>Every night leading up to the exam, meaning sometime between 8 PM - 10 PM EST, I will post 5-10 questions. Each question will be worth a varying number of points depending on the type. The rules are simple. If you know the answer to a question, then answer it as soon as possible. The first person to get it completely right will get the points. To ensure at least some fairness, you may only include the answer to one question per post. If you answer multiple questions per post, I’ll only check your first answer. In addition, I won’t tell you who’s right and who’s wrong until I post the next batch of questions, so just because someone answered a question doesn’t mean you shouldn’t take a stab even if you think it’s wrong (unless it’s a penalty type question). </p>
<p>Types of Questions
-True/False: *1 Point<a href=“Very%20straight%20forward.%20It’s%20either%20true%20or%20false.”>/i</a>
-Conceptual or Class Type Question: *2 Points<a href=“These%20questions%20aren’t%20up%20to%20par%20with%20the%20level%20of%20the%20AP%20exam,%20but%20they’re%20still%20good%20for%20review!”>/i</a>
-AP Multiple Choice: *3 Points, with a 1/2 point penalty for wrong answers<a href=“Just%20give%20the%20letter%20of%20the%20correct%20answer.%20If%20you%20don’t%20know%20the%20answer,%20don’t%20guess,%20you’ll%20just%20get%20penalized%20here.%20Only%20the%20first%20person%20that%20gets%20the%20answer%20right%20will%20get%20the%20points,%20but%20%5Bi%5Devery%5B/i%5D%20person%20that%20posts%20the%20wrong%20answer%20will%20get%20the%20.5%20point%20deduction.”>/i</a>
-AP Free Response: *Max 6 Points<a href=“If%20you%20see%20one%20of%20these,%20try%20to%20be%20as%20complete%20as%20you%20possibly%20can.%20%5Bi%5DEvery%5B/i%5D%20person%20that%20attempts%20these%20will%20be%20considered%20for%20points,%20so%20if%20you%20see%20one,%20take%20a%20crack%20at%20it!”>/i</a></p>
<p>What better way to review calculus than to get a little competitive spirit in here? None!</p>
<p>Try these; it’s the first day, so none of these are really mind-boggingly hard:</p>
<p>1) (T/F)- The derivitive of the basic natural exponential function (e^x) is the same as its antiderivitive.</p>
<p>2) (T/F)- The sum of two increasing functions is increasing.</p>
<p>3) (Conceptual)- Discuss the discontinuities of the function of f(x) = 1/(x^2 - 4).</p>
<p>4) (Conceptual)- Given that y=2(x^2 - 3x), what is dx/dt when x=1 given that dy/dt=5?</p>
<p>5) (Conceptual)- What is the limit of (sin x)/x as x approaches infinity?</p>
<p>6) (AP Multi-Choice)- What is the maximum value of the slope of f(x) = x^3 - 3x?
a) -1
b) 0
c) 1
d) 4
e) None of the above</p>
<p>7) (AP Multi-Choice)- Find the derivitive of the following: sin(6-2x)
a) 1-2cos^2(6-2x)
b) -2sin(6-2x)
c) cos(6-2x)
d) 2(2sin^2(3-x) - 1)
e) None of the above</p>
![http://xs514.xs.to/xs514/07145/7apr6.png[/url]](http://xs514.xs.to/xs514/07145/7apr6.png%5B/url%5D){kind=link}
