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2) A tank is created by revolving the region enclosed by y=Vx,x=0, and y= 2 about the y-axis. The tank is filled with a liquid of weight-density 70 lb/ft? . 3 3 o Setup the integral that would give the work done in pumping the liquid to a height 1 ft. above the top of the tank. (Setup Only) o Give the units the answer would have.
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rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) 290253 cm3/min Need Help? Resd Watch iTalk to a Tutor Submit Answer Save Progress Practice Another Version o 01 points | Previous Answers SCalcET8 3 9...
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(1 point) A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 1 meter, its length is 8 meters, and its top is 5 meters under the ground, find the total amount of work needed to pump the gasoline out of...
(2,4 A water tank is formed by revolving this graph about It is 4 feet wide and 4 ft high, as shown in the picture. ater is to be pumped to a level one foot above the top, work will be required? Let w be the weight density, in lb per ft", so that your answer will be an expression number the y-axis: It is 4 feet wide and 4 ft high, as shown in the picture. If all the...
Electric charge is distributed over the rectangle 1 sxs 3,0 Sys 2 so that the charge density at (x, y) is o(x, y) = 2xy + y? (measured in coulombs per square meter). Find the total charge on the rectangle. Need Help? Read It Watch It Talk to a Tutor -/1 points VI SCALCET8 15.3.035. My Notes Ask Your Teach A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from...
(2,4) 7) (12 pts.) A water tank is formed by revolving this graph about the y-axis: It is 4 feet wide and 4 ft high, as shown in the picture. If all the water is to be pumped to a level one foot above the top, how much work will be required? Let w be the weight density, measured in lb per ft", so that your answer will be an expression in w, not a number. y = x 1...
indow Help a Active Calculus 2.0.pdf (page 393 of 553) 6. Consider the curve f(x) 3 cos() and the portion of its graph that lies in the fi quadrant between the y-axis and the first positive value of x for which f(x) 0. Let R denote the region bounded by this portion of f, the x-axis, and the y-axis. Assume that r and y are each measured in feet. a. Picture the coordinate axes rotated 90 degrees clockwise so that...
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assume stick is vertically inserted Consider a horizontally-positioned right circular cylindrical oil tank of radius r and length h as in the figure. The tanks are used for storage in various locations and are drained and filled periodically. Inventory is taken by placing a long dipstick with quarter-inch marks vertically in the tank, and then measuring the liquid level w. 1 1). If all variables r, h, and w are in inches, use calculus to find a...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
2) Find the area of the region enclosed by each group of equations. a) y x, y sin x, b) y x2-2x, y= x+ 4 x 3) A particle moves along a straight line with a velocity of 5 cm/s and then accelerates at a rate of a(t) t2+2. What is its displacement after 5 seconds of acceleration (acceleration is in cm/s2) 4) A cylindrical can (radius 10 millimeters) is used to measure rainfall in Stormville. The can is initially...