(2,4) 7) (12 pts.) A water tank is formed by revolving this graph about the y-axis:...
(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...
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A tank is created by revolving the enclosed region below about the y-axis. The tank is filled with a liquid of weight-density 70 lb/ft? . (2,4) 2+ O Setup the integral that would give the work done in pumping the liquid to a height 3 ft. above the top of the tank. (Setup Only) O Give the units the answer would have.
(Setup Only) 2) A tank is created by revolving the enclosed region below about the y-axis. The tank is filled with a liquid of weight-density 70 lb/ft?. (2.4) o Setup the integral that would give the work done in pumping the liquid to a height 3 ft. above the top of the tank. (Setup Only) o Give the units the answer would have.
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.
6) (15 points) A spherical storage tank extends from y=-4 to y=4. It is filled with a fluid weighing w lb per cubic foot. The equation of the circle is x+y=16 All of the fluid will be pumped up to the y=6 feet level. Calculate the work done. (Your answer will be an expression containing w.)
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to be pumped out. The density of water is 62.4 lb/R. (6) The tank is full of water and all of the water is to be pumped over the top of the tank. Find the approximate work for the slice as shown. Use Delta or A from the CalcPad. Leave in your answer. 32118.5281 ( 29 - y) Ay Find the endpoints for the integral...
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...
9: Problem 7 Previous Problem Problem List Next Problem (1 point) A trough is 10 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x8 from x = -1 to x = 1. The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per...
The shape of a container is obtained by rotating the curve y = x^2 over the interval 0 ≤ x ≤ 2 about the y-axis. If the tank is full of water, the work required for pumping all water to the top of the tank can be expressed as an integral W = f(b,a) f(y)dy. Use trapezoidal rule on four subintervals of equal length to estimate the work. (Assume that water density is ρ kg/m3, and gravity acceleration g m/s2.)...
1 / 4 x ² 1x2 and y A large tank is designed with ends in the shape of the region between the curves y = 20, measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of 12 ft with gasoline. (Assume the gasoline's density is 42.0 lb/ft3. Round your answer to one decimal place.) 7140000 XIb Need Help? Read It Talk to a Tutor