Rectangular bathtub has a fixed height of 10ft. The length of
the bathtub is increasing at a rate of 2ft/sec, and the width is
increasing at a rate of 1.5ft/sec. How
fast is the volume increasing at the moment when length is 30ft and
width is 12ft?
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Rectangular bathtub has a fixed height of 10ft. The length of the bathtub is increasing at...
2. Estimate the volume of a rectangular box that has height of 22.1 cm, a length of 98 cm, and a weight of 54 cm. the volume of a rectangular box can be calculated by multiplying length x weight x height?
1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation point. At a certain moment the angle of elevation θ is 30° and decreasing and the speed of the plane is 4 km/h. (a) How fast is 0 decreasing at this moment? (b) How fast is the distance between the plane and the observation point is changing at this moment? 2. Trajectory of a particle is described by parametrical equations as t,y P,...
(1) A box has a height of 6 inches, a width of 4 inches, and a length of 10 inches (and therefore a volume of 240 cubic inches). The height is decreasing at a rate of 0.5 inches per minute, the width is increasing at a rate of 2 inches per minute, and the length is increasing at a rate of 1 inch per minute. At what rate is the volume changing? Car A travels East towards the intersection of...
A box currently has length and width of 10 inches and a height of 3 inches. Use calculus to determine at what rate the height changes, if the length and width are decreasing at a rate of 2 inches per minute and the volume of the box is constant. (6 points)
A certain gymnasium has the shape of a rectangular prism. The volume V of a rectangular prism is given by V-lwh, where/ is the length, w is the width, and h is the height. Make an order of magnitude estimate of Vwhen /= 533 ft, w 110 ft, and h 110 ft. Write your answer as a power of ten. 10
The rectangular cross section has width 0.1 m and height 0.3 m. A beam is found to have a maximum bending stress of 4.4 MPa. What is the magnitude of the bending moment in N-m?
The chamber is a box with a fixed height and length which are both 4.3 nm. Using your data from Part A for the width of the chamber, plot the graph of the gas's volume versus its temperature. Temperature (K) 200. 250 300. 350 Width of box 6.7 (nm) 8.3 Sketch a graph of the volume versus temperature. View Available Hint(s) 10.0 11.7 No elements selected Volume (nm) 300 250 200 150
A rectangular board, having a length twice its width when measured at rest, is on board a spaceship that is flying with a relativistic speed. If an observer on Earth sees that the board is a square, how fast is the spaceship flying? a) 0.500c b) 0.866c c) 0.978c d) 0.750c
(1 point) You must design a closed rectangular box of width w, length 1 and height h, whose volume is 530 cm . The sides of the box cost 3 cents/cm2 and the top and bottom cost 5 cents/cm². Find the dimensions of the box that minimize the total cost of the materials used. dimensions = (Enter your answer as a comma separated list of lengths, which will be interpreted as being in centimeters.)
te of 9 cm/s. When the length is em and the width is 6 om, how fast is the area of the rectangle The length of a rectangle is increasing at a rate of Sem/s and its width is increasing increasing? x cm Need Help? WhMasterToteur