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Compare and contrast solving equations and solving inequalities. What is similar about each process? What are the differences? Provide an example equation for each process
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
A closed recycling bi is in the shape of a rectangular box. Find the height of the bin if its length is 18 feet, its width is 8 feet, and its surface area is 496 square feet.
How many samples contain at least 1 rotten apple?
cterial colony doubles every five hours. Can you find the hourly growth factor and hourly growth rate?
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution?
Determine the slope-intercept form of the line with x-intercept = -8 and y-intercept = -16 i.e. the line passes through the points (-8, 0) and (0, -16).
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Seven hours later they are 350 miles apart. If the Ship X had traveled 280 miles from the port, how many miles had Ship Y traveled?
The mass of a cube of iron is 385 g. Iron has a density of 7.87 g/cm3. What is the mass of a cube of lead that has the same dimensions?
In all respects, Company A and Company B are identical except that Company A's costs are mostly variable, whereas Company B's costs are mostly fixed. When sales increases, which company will tend to realize the greatest increase in profits?
Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer.
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