I'm reviewing my tests and these are some of the questions I got wrong from past chapters. If I could get help it will be greatly appreciated! My final is less than 12 hours away O.O!
If anyone can help me with one (or more!!) of these questions it will be GREATLY GREATLY appreciated!!
1. Evaluate the limits and show appropiate work
(not sure how to type it on here so ill write it out)
The lim as x approaches 1 (x->1) in 1/(x-1)^2
I know that I have to make it so the denomiator isn't 0 when x=1 is plugged in, but not sure the steps I need to take to do that.
2.The lim as x approaches 0 (x->0) in {[1/(5+x) - 1/5]} / x
(same as the previous, not sure how to get 0 out of the denom)
3. Find the value of the constant a in the following function that will result in it being continuous on the entire real number line::
s(x)= (x^2-a^2)/(x-a) , x does not equal a
s(x)=-10 , x = a
4. A toy retailer has determined that they can sell 52,000 Transformer toys when the price is set to $7, and when the price is raised to 8.50$ the only sell 48,000 toys. Assume demand is linear, and that the variable and fixed costs for the store are $0.30 and $35,000, respectively.
Find the marginal profit when 25,000 toys are sold.
5. Find dy/dx implicitly: e^(xy) + x^2 + y^2 = 10
6. Find the derivative g(x) = log (base 9) [(x^2)/(x-6)]
7. y=5^x
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