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1. Use the Squeeze Theorem to find limx→0 x sin (1/x)
2. Is f(x) = x2 - 7/x - 3 continuous on the interval (3, ∞)?
Evaluate:
3. limh→0(√(x + h) - √x/h)
4. d/dx(1/√x)
5. d/dx(x3 - x + 7 + √x)
6. d/dx ex
7. d/dx(sin(x) + (x - 3)2 + 4y)
Two balls are chosen randomly from a basket containing 8 white, 4 black and 2 orange balls. Suppose that we win $2 for each black ball selected and we lose $1 for each white ball selected. Let X denote our winnings.
What is the marginal product of the first worker? What is the marginal revenue product of the first worker? Fill in the rest of the table. How many workers will this firm hire at a wage of $7
Lumber costs have increased by 7.5% since last year. If a new home last year cost $237,400, what would be the new cost?
Always look for a common factor. If there is one, factor out the largest common factor. Use an example to explain how to identify and factor out the largest common factor. (minimum 50 words).
Wiiand Corporation has 50,000 shares of $10 par value common stock outstanding. It declares a 10% stock dividend on december 1 when the market value per share is $16.
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
Describe fractional parts. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
the speed of traffic through the lincoln tunnel depends on the density of the traffic. let S be the speed in miles per hour and D be the density in vehicles per mile. the relationship between S and D is approx. S= 42- D/3 when D is less than 100. ..
given the function y 2x2 - 12x 13.using the method of completing the square put the function in standard form for a
The average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
A revolving lighthouse is located 100 m from the nearest point P on a straight shoreline. The light makes one revolution every 30 seconds. Find the speed at which a ray of light from the lighthouse moves along the shore at a point 200 m from P.
Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s. What are the initial conditions?
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