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Question: The base of a cone is the unit circle centered at the origin in the xy-plane and vertex P = (a, b, c), where c > 0.
(a) Parameterize the cone.
(b) Express the surface area of the cone as an integral.
(c) Use a numerical method to find the surface area of the cone with vertex P = (2, 0, 1).
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
A one compartment vertical file is to be constructed by bending the long side of an 8 inch by 20 inch sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold?
Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 39 feet?
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
mike asks billy to help him run his lemonade stand. hell either pay him 25 of frac12 of the stands profits or 13 of
Maria makes $6.00 plus 5% commision for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday
-What is the probability that demand will exceed 1000 pounds?
Could you clarify what constitutes a spanning set and a basis? Also how does one test to see if a set of vectors is a spanning set and if it is a basis?
What do you feel are the advantages of using graphs to show the relationships between variables? Give examples that demonstrate your opinions.
you deposit 750.00 in an account that earns 5 simple interest. how much interest will your money earn in 6
The Archimedean property for the rational numbers states that for all rational numbers r, there is an integer n such that n > r. Prove this property.
Determine the above rates in other quotation format ( i.e. if above rates are quoted indirectly,calculate direct quotation,and vice versa) Please provide your answer in proper manner ( i.e. XX per YY)
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