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Limits Diff eQ’s Slope fields Implict Deriv’s 10 Point 20 Points 30 Points 40 Points 50 Points 10 Point 20 Points 30 Points 40 Points 50 Points 30 Points 40 Points 50 Points Related RatesArea Problems
Find the area between f(x) = x^2cos(4x), g(x) = (x-3)^3, and y=0 in the fourth quadrant. Calculators are allowed.
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Find the area between f(x) = x^2 – 4, g(x) = -(1/4)x – 4, and x=2 in the fourth quadrant. ?
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xf(x) [N] If f(x) is continuous, positive first derivative and concave up and has the following values, find the upper sum of f(x) of 5 sub intervals from x-values 0 to 5. When is the greatest average slope. between two points on the graph?
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[C] What is the volume of the Area b/w f(x) = sin(x), g(x) = x-2, and h(x) = -x+1. With cross sections perpendicular to the x-axis that are squares.
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Kevin Choe, the smart one, is filling a cone created by the area between the function f(x) = 2x-10 and y = 0, revolved around the y-axis. What is the height of the water when there is 22 of water in cone. A B..619 C D. None of these
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[G]Where in this graph does limit as x approaches a number not exist.
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Find the Limit:
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Daily Double!!!
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The amount of water in Vedant’s half sphere pool is decreasing at a rate of 10ft^3/sec. If the radius of the pool is 5ft what is the rate at which the radius is decreasing.
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[A] A cone is growing from bottom up in which the radius increases 4 times the rate of the height. If the volume increases at a rate of 30 ft^3/min what is the rate of the increase in height when it is 4ft.
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It’s a Movie!!!
2.5044ft/min Back to Main
[W] [M]The police have trapped Mitch for being better looking than Kyle. The light of the cops car is 20 meters away from a wall behind Mitch, if Mitch’s shadow is decreasing at a rate of 2 m/s what is the rate at which he is moving backwards (towards the wall) when the height of the shadow is 8 meters tall, and Mitch is 2 meters tall. A. 1 ¼ m/s B m/s C m/s D: 1.27
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The rate of change of a population of a freshman community P(t) is proportional to P(t). The community initially (t=0) had a population of 40 freshmen, and the next year (t=1) had a population of 120 freshmen. What is the freshman population in the community's 7th year (P(6))?
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