V=(1/2)(bhl) (b=4x, h=x, l=13)
V=.5(4x)(x)(13)
V=26x^2
dV/dt=52x dx/dt (where x represents height in feet)
11=52(4/14) dx/dt
11(14)/[4(52)] = dx/dt
dx/dt=0.74 ft/min
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 13 ft3/min, how fast is the water level rising when the water is 4inches deep?
Need just the results. Thank you! 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...
14. A water trough is 8 m long and a cross section that has the shape of isosceles trapezoid that is 6 m wide at the top and 4 m wide at the bottom, and has a height of 1 m. If this trough is being filled at 0.4 m3/min; find the rate of the rise of the water as the function of time in this trough? 15 pts.
(a) For the limit lim (x3 + x + 2) = 4, use a graph to find the largest possible value of that corresponds to s = 0.3. (Round your X-1 answer down to three decimal places.) 8 = 0.071 (b) By using a computer algebra system to solve the cubic equation x3 + x + 2 = 4 + ε, find the largest possible value of that works for any given a > 0. 5(E) = x(&)-1 (C) Put...
Consider the following tank. The shape of this tank is a trough whose ends are isosceles triangles. The height of the trough is 6 meters. The width is also 6 meters. and the length of the trough is 8 meters. (See figure to the right.) Suppose this tank contains honey (for whatever reason). The density of honey is p = 1420 kg/m^3. If the tank is initially filled with honey, how much work will it take to pump all of...
A water tank has the shape of an inverted cone of height 9 m with a circular base of radius 3 m. If water is being pumped into the tank at 4 m/min, how fast is the water level rising when the water is 3 m deep Round your answer to two decimal places The water level is rising at a rate of Number Units
A water tank has the shape of an inverted cone of height 6 m with a circular base of radius 2 m. If water is being pumped into the tank at 3 m?/min, how fast is the water level rising when the water is 4 m deep. Round your answer to two decimal places. The water level is rising at a rate of Number Units The area of a square is increasing at a rate of 28 centimeters squared per...
15. A paper cup has the shape of a cone with height 12 cm and radius 8 cm (at the top). If water is poured into the cup at a rate of 3 cm s. how fast is the water level rising when the water is 9 cm deep?
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 16 ft high? The height is increasing at _______ ft/min.
bi An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is 11 cm. Find the rate at which the water level is rising when the water level is 2 cm. h cm/sec Submit Question Jump to Answer