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Question 927647: NOTE: THIS IS A CALCULUS INDETERMINATE FORM, L'HOSPITAL'S RULE PROBLEM. Any help is greatly appreciated!
Find the limit as x approaches 0 when sin 8x/ tan 9x
I know the answer is 8/9, but I don't understand why. This is a L'Hopital rule problem, so I tried that. When I took the derivative of the top, over the derivative of the bottom I got 8 cos 8x/ 9 (sec 9x)^2. When you plug in 0 into this, you get 8/(9/0), so this would simplify to be 0/9. If a limit approaches 0/9, that means that is is a very small number being divided by a constant, so it would approach negative infinity. But that is not what it turns out to be.
Click here to see answer by jim_thompson5910(35256) |
Question 927669: Yolanda found the area of Bob's driveway in square meters as shown. Explain why Yolanda's answer is incorrect.
Area = 45 18 = 810 square feet
810 square feet 0.305 meter
_____________
1 foot 247.1 square meters
Click here to see answer by Theo(13342)  |
Question 929919: A company installs 5,000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, distribution approximated by a normal curve. Find the approximate number of bulbs that can be expected to last more than 400 hours?
Click here to see answer by ewatrrr(24785)  |
Question 931579: Solve algebraically
4x^2+y^2=4
-2x+y=2
I keep getting different answers on here it only says solve algebraically Then sketch the graph of the equation to show the solution. BUT I don't need to graph please help
Click here to see answer by Alan3354(69443)  |
Question 932058: how fast does a ferris wheel have to be going before the top stops being the apex from which a dropped object will hit the ground the fastest? (if ferris wheel radius is needed to solve this problem lets say the radius of this ferris wheel is 5M)
Click here to see answer by Fombitz(32388)  |
Question 931342: Go to a local library; collect a sample of books consisting of the ages of book (based on copyright dates). Plan and describe the sampling procedure, then use the results to construct a confidence interval estimate of the mean age of all books in the library. Please, post and share your results with the class.
Click here to see answer by Fombitz(32388)  |
Question 909824: A CB antenna is located on the top of a garage that is h = 18 feet tall. From a point on level ground that is d = 190 feet from a point directly below the antenna, the antenna subtends an angle of α = 13°, as shown in the figure. Approximate the length of the antenna. (Round your answer to one decimal place.)
Click here to see answer by cook39837(1) |
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