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Consider the function f(x)=10*(x^.5)+8 on the interval [4.6], Find the average or mean slope of the function on this interval.( )
By the mean value Theorem, we know the there exists a C in the open interval (4.6) such that f'( c) is equal to this mean slope. For this problem, there is only one c that works. Find it. ( )
Two trains leave stations 440 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
A poster is to have an area of 240 in^2 with 1 in margins at the bottom and sides and a 2 in margin at the top. What dimensions will give the larges printed area?
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
Calculate the number of bridge hands which contain and calculate the probability of being dealt each of the hands in parts (a), (b), and (c). Give your answers to 5 decimal places.
Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.
An investor invested a total of $2,500 in two mutual funds. One fund earned a 4% profit while the other earned a 25 profit. If the investor's total profit was $78, how much was invested in each mutual fund?
a steep mountain is inclined 79 degrees to the horizontal and rises 3100 ft. above the surrounding plain. a cable car is to be installed from a point 900ft from the base of the mountain. find the shortest length of cable needed?
Find the two mean proportionals between two cubes guaranteed by Proposition VIII-12.
How many readers suffering from depression were included in the report? Of those included in the report and how many felt better using prescription drugs or mediation?
Probability : Expected Values and Probability Distributions - According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles
Does the breakfast revenue seem to increase as the number of occupied rooms increases? Draw a scatter diagram to support your conclusion.
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