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1.) Find and equation of the tangent to the curve at the point corresponding to the given value of the parameter x= cos t + sin 2t, y= sin t + cos 2t (t=0)
2.) Find dy/dx and d^2/dx^2 for which values of t is the curve concave upward x= t + ln t, y = 1 - ln t
A man rows a boat 280 feet upstream against a constant current in 8 minutes. He then rows 220 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
The length of one leg of a right triangle is twice the length of the second leg. The hypotenuse is 15 meters. Find the length of the two legs.
Suppose we want to determine the (binomial) probability (p) of getting 5 heads in 15 flips of a 2-sided coin. Using the Binomial table in the appendix of the text, what values of n, x, and p would we use to look up this probability, and what would..
Determine the total annual cost over the life of the refrigerator for a refrigerator that lasts 15 years. Assume that the only cost associated with the refrigerator are its purchases price and electricity
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
the temperature at the pool was 65 degrees F at 6:00 a.m. write an expression to name the tempertaure at 5:00 p.m. after it rose 7 degrees.
A solid disk of radius R is composed of two different materials. For r R=2. Calculate the moment of inertia about an axis through the center and perpendicular to the disk, expressed solely in terms of the total mass M and radius R.
If you have 60 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Two ships leave port at 7:00am. ship A sails on a 54° course at a rate of 36 mph. ship B sails on a 114° course at a rate of 42 mph. find the distance between the two ships at 11:00am and the bearing of ship B from ship A.
A basket contains five red balls, four white balls, and three blue balls. Two balls are drawn, one after the other, with the first ball replaced before the second is drawn.
A major credit card company has determined that customers charge between $100 and $1100 per month. Given that the average monthly amount charged is uniformly distributed, what percent of monthly charges are between $100 and $1100?
It was found that in a sample of 90 teenage boys, 70 % of them have received speeding tickets. What is the 90% confidence interval of the true proportion of teenage boys who have received speeding tickets?
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