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Use calculus techniques to establish the first and second derivatives of the following functions and to graph the functions below by indicating
1) points where f(x) = 0,
2) the y-intercept,
3) all relative maxima,
4) all relative minima, and 4) points of inflection, if any.
Show all of your work.
a) f(x) = x2/x+1
b) f(x) = x3 + 3x2 + 3x
c) f(x) = (5x2 + 6x - 2)(x - 5)
Probabilities of deck of cards. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a diamond or a card smaller than 5?
a banquet hall contains only chairs and round tables and has 10 chairs at every table. each table has 8 legs and each
two groups were polled about thier attitudes towards capital punishment. In one group 30 out of 100 favored capital punishment, and in the other group 40 out of 80 favored capital punishment. Calculate an appropriate test value to test the hypothe..
Show how to convert any of the three container structures into any other - What is the shape of an array? How can it be changed? Provide an example.
linda stevens was recently promoted from accounts payable clerk to accounting specialist. previously she earned 10.50
From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have been reduced?
(a) How many square inches in area is the aluminum plate (the shaded region)? (b) if the cost to construct the plate is $6.50 per square inch, what is the construction cost?
determining the height at which the light has to be fixed to get its use in maximum area using its perimeter
the perimeter of a basketball court is 278 ft. the length is 41 ft longer than the width. Find the demensions of the court.
discover that a certain prescription drug has an average price of $40 for $20 pills with a standard deviation of $5. Using this information, deduce with 95% accuracy where the national average cost of 20 pills lies
The sales representative here tells you they also have two floor plans available, but they only have 42 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
What is the compound interest earned?
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