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1.find the critical number of f(X)=sin2x+cos2x
2.find the absolute extrema of the function on the interval,if there are any, and determine the values at which the absolute extrema occur
a.f(x)={ |x+1| if x is not equal to -1
3 if x =-1 ;[-2,1]
you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 30 hours. Find the angular velocity of a person standing on the equator.
If you have 452 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
find the sum of the perimeters and the sum of the areas of all the squares, including the initial one.
A tourist in France wants to visit 6 different cities. If the route is randomly selected, what is the probability that she will visit the cities
A 25-year, zero coupon bond was recently quoted at 12.500. Find the current yield and yield to maturity of this issue, given the bond has a par value of $1,000. (assume annual compounding for the yield-to-maturity measure)
Probability on normal distribution
Find the distance across the lake from A to C to the nearest yard using the measurements 140yd 80 degrees and 160yd.
Perform the appropriate analysis and state the conclusions
What is the probability that at least 50 customers pay in cash? What is the probability that no more than 15 customers pay in cash? What is the probability that more than 20 and less than 40 customers pay in cash?
A gun has a muzzle speed of 70 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use 9.8 as the acceleration of gravity.
A company wishes to design a rectangular box with square base and no top that will have a volume of 25 cubic inches. If dimensions are selected so that the surface area is minimized, what will be the height of the box?
If Evergreen Fertilizer Company in Problem 4 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume?
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