Reference no: EM131009062
1-When a circular of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min. At what rate is the plate's area increasing when the radiuse is 44 cm?
2-A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 99 feet above the bow. The rope is hauled in at the rate of 33 ?ft/sec. Complete parts a. and b.
a. How fast is the boat approaching the dock when 15 ft of rope are? out? The distance between the boat and the dock is changing at a rate of nothing ?ft/sec.
?(Type an integer or a simplified? fraction.)
b. At what rate is the anglenthetaθ changing at this? instant? ?rad/sec.
3- Find the derivative of y=cos-1(2x9) with respect to x
?4- Find the derivative of y with respect to t. y = t(ln 3t)2 , dy/dt=?
5- Find dy/dx for ln (5y) = ey sin(5x).
6- Find the derivative of y with respect to x of y= 8ln(13x).
7- Find the derivative of y= ln(tan-1(2x5)) with respect to x.
8- A balloon is rising vertically above a? level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 69 ft above the? ground, a bicycle moving at a constant rate of18 ft/sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 3 seconds? later?
9- The original 24 m edge length x of a cube decreases at the rate of 3 ?m/min.
a. When x=2 ?m, at what rate does the? cube's surface area? change?
b. When x=2 ?m, at what rate does the? cube's volume? change?
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What is the acceleration of rocket b
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What is the probability that two vans will be selected
: Plant managers are going to choose two of these vehicles for thorough inspection. The first vehicle will be chosen at random, and then the second vehicle will be chosen at random from the remaining vehicles. What is the probability that two vans w..
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Moviegoers and ethnicity
: The Motion Picture Associa- tion of America studies the ethnicity of moviegoers to understand changes in the demographics of moviegoers over time. Here are the numbers of moviegoers (in millions) classified as to whether they were Hispanic, Africa..
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Percentage of all costs and expenses
: a) What percent of all costs and expenses were cost of revenues in 2005? In 2006? b) What percent of all costs and expenses were due to re- search and development in 2005? In 2006? c) Have general administrative costs grown as a percentage of all cos..
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Find the derivative of y with respect to x
: Find the derivative of y with respect to x of y= 8ln(13x). Find the derivative of y with respect to t. y = t(ln 3t)2 , dy/dt=? Find the derivative of y= ln(tan-1(2x5)) with respect to x.
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Determining the winter olympics
: Twenty-six countries won medals in the 2010 Winter Olympics. The following table lists them, along with the total number of medals each won.
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How do the minute ventilation values change during exercise
: What was the difference between the estimated versus actual forced tidal volume? When might it be useful to use the estimated numbers instead of measurements? How do the minute ventilation (VE) values change during exercise? Why does this occur? ..
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Express the angle as the function of x
: Express the angle θ as the function of x, the distance of the boat from the building. The boat is sailing directly toward the skyscraper at 3 m / s. Find dθ/dt when the boat is x = 300 m from the building.
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Describe your understanding of the social work profession
: Describe your understanding of the social work profession and its core values. How have you incorporated social work values in your human service experiences and interactions with others
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