Jim

I need to differentiate:

f(x) = [e^(-7x)] [cos9x]

I do the product rule then chain rule but i keep getting stuck with e^-x. Any help would be appreciated!

Can someone show me the solution to this problem step-by-step? It's y=( (x^2)+1 / (x^2)+1) ^ 3. In other words, parenthesis(xsquared + 1 / xsquared +1 )closeparenthesis and the whole thing cubed. The correct answer is top: (-12x( (x^2) +1)^2) divided by bottom: ( (x^2) -1) ^ 4. I just need a step by step solution-I use the Chain Rule then Quotient but keep getting stuck. Thanks for your help.

Need help for a Microeconomics course. All help appreciated!

I got a ticket for speeding 54 in a 30 zone (I'm in Maryland). I've only gotten 2 warnings before in my four yrs of driving. The fine is $160 and 2pts on my license.

The officer said there's 3 ways to take care of it: pay; plead guilty with explanation in front of a judge no officer, no jury, etc; or wait for a trial where it's the judge, the officer, and maybe other people.

I was hoping to plea a stay of adjudication (because of my spotless driving record), where I may or may not have to pay the fine, but the ticket and the points get taken off my record after a period of probation.

Would my best bet be to wait for a trial where the officer might show up? Or should I plead guilty with explanation? I've heard different perspectives: pleading guilty even w/ explanation shows you knew you were speeding and judge might not be that much lenient, or that pleading guilty was the only way to enter a plea of ajudication. I don't have an explanation. Any help is appreciated! Thank you very much.

A multiple choice test consists of 25 questions with possible answers of a, b, c, d, and e. Estimate the probability that with random guessing, the number of correct answers is between 3 and 10 inclusive.

ok, I have a Takamine EG523SC jumbo acoustic electric guitar. I never let anyone touch it and the one time I did this past weekend, my friend dropped it. It fell face/stringside first onto the ground, but the only discernable damage is a slight scratch on the side, nowhere close to the bridge.

My D string snapped in the process. Upon replacing, I noticed there's a buzz on the D string open and now the A string (which was intact at time of said-dropping). I didn't see any damage to the bridge or the nut. I didn't leave the guitar stringless for a long period of time (only a few hrs.), so I don't think it'd have screwed up the tension. Any ideas on why the A string is now buzzing? I'm going to take it to Guitar Center in a few days.

If so, what was it like? What are the sites to see? Any specific recommendations in terms of dining etc?

I recently bought it at an auction, A/c needs charging; to pass state inspection, it's going to cost around $1500 in repairs; it has ~134k miles on it, 5 speed manual. Also, it doesn't have a maintenance record. Is it worth it to invest in body kit, exhaust, etc and repairs for this car or am I better off just doing repairs, and using as daily driver only, not upgrading anything? I don't want to have to fix it, upgrade it, then have it die out in the next few thousand miles. Any help/suggestions would be helpful.