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From a rectangular sheet of metal measuring 120 mm by 75mm, equal squares of side x are cut from each of the four corners. The remaining flaps are then folded upwards to form an open box.
(a) Draw a neat and simple diagram of the rectangular sheet of metal (not drawn to scale) and show the dimensions given including the squares of side x.
(b) Show that the volume of the box is given by:
(c) Find the value of x such that the volume is a maximum.
The car can be ordered in any one of seven exterior colors. How many different cars can be ordered?
Use your calculator to evaluate the following expression if x = 9.69, and y = –8.02. Round your answer to the nearest tenth.
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
find whether the given function is linear function or not.for each of the relationships below explain whether you think
At what rate (in3 in) does the volume change with respect to the radius when r = 6 in? Using the rate from part a, by approximately how much does the volume increase when the radius changes from 6 to 6.2 in?
Solve problem of the Rhind Mathematical Papyrus by the method of false position : A quantity and its 2 are added together and from the sum 1 of the sum is subtracted 3 3 and 10 remains. What is the quantity?
Use geometric techniques to estimate the percentage full. Find an upper and lower bound to the percentage full.
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
Your final project entails systematic extraction of decision-aiding insights from a dataset (SampleDataSet.xlsx) provided to you in the Doc Sharing area. The goal of this project is to provide you with hands-on experience in conducting and interpr..
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
the market price the regular price of the blender was $18.00 how much does she pay for the blender including sales tax of 6%
The balance is to be paid in 60 equal monthly payments, with a finance charge equal to 8.6% add-on interest on the outstanding balance. Find the fincance charge or the monthly payment.
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