Calculus (MindTap Course List)
8th Edition
ISBN: 9781285740621
Author: James Stewart
Publisher: Cengage Learning
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Textbook Question
Chapter 8.3, Problem 1E
An aquarium 5 ft long, 2 ft wide, and 3 ft deep is full of water. Find (a) the hydrostatic pressure on the bottom of the aquarium, (b) the hydrostatic force on the bottom, and (c) the hydrostatic force on one end of the aquarium.
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An aquarium 4 ft long, 2 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.)
(a) Find the hydrostatic pressure on the bottom of the aquarium.lb/ft2(b) Find the hydrostatic force on the bottom of the aquarium.lb(c) Find the hydrostatic force on one end of the aquarium.lb
An aquarium 6 ft long, 3 ft wide, and 2 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft³.)
(a) Find the hydrostatic pressure (in lb/ft2) on the bottom of the aquarium.
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lb/ft²
(b) Find the hydrostatic force (in lb) on the bottom of the aquarium.
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Enter a number.
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An aquarium 4 ft long, 2 ft wide, and 2 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft³.)
(a) Find the hydrostatic pressure (in lb/ft2) on the bottom of the aquarium.
lb/ft2
(b) Find the hydrostatic force (in lb) on the bottom of the aquarium.
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(c) Find the hydrostatic force (in lb) on one end of the aquarium.
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Chapter 8 Solutions
Calculus (MindTap Course List)
Ch. 8.1 - Use the arc length formula 3 to find the length of...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Find the exact length of the curve. y=1+6x3/2, 0x1Ch. 8.1 - Prob. 10E
Ch. 8.1 - Find the exact length of the curve. y=x33+14x,1x2Ch. 8.1 - Find the exact length of the curve. x=y48+14y2,1y2Ch. 8.1 - Find the exact length of the curve. x=13y(y3),1y9Ch. 8.1 - Find the exact length of the curve....Ch. 8.1 - Find the exact length of the curve....Ch. 8.1 - Prob. 16ECh. 8.1 - Find the exact length of the curve....Ch. 8.1 - Prob. 18ECh. 8.1 - Find the exact length of the curve. y=ln(1x2),0x12Ch. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Use Simpsons Rule with n=10 to estimate the arc...Ch. 8.1 - Use Simpsons Rule with n=10 to estimate the arc...Ch. 8.1 - Use Simpsons Rule with n=10 to estimate the arc...Ch. 8.1 - Use Simpsons Rule with n=10 to estimate the arc...Ch. 8.1 - a Graph the curve y=x4x3,0x4. b Compute the...Ch. 8.1 - Repeat Exercise 29 for the curve y=x+sinx 0x2Ch. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - a Sketch the curve y3=x2. b Use Formulas 3 and 4...Ch. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - The arc length function for a curve y=f(x), where...Ch. 8.1 - For the function f(x)=14ex+ex, prove that the arc...Ch. 8.1 - Prob. 40ECh. 8.1 - A hawk flying at 15 m/s at an altitude of 180 m...Ch. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - a The figure shows a telephone wire hanging...Ch. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.2 - a Set up an integral for the area of the surface...Ch. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - a Set up an integral for the area of the surface...Ch. 8.2 - a Set up an integral for the area of the surface...Ch. 8.2 - Find the exact area of the surface obtained by...Ch. 8.2 - Find the exact area of the surface obtained by...Ch. 8.2 - Find the exact area of the surface obtained by...Ch. 8.2 - Prob. 10ECh. 8.2 - Find the exact area of the surface obtained by...Ch. 8.2 - Prob. 12ECh. 8.2 - Find the exact area of the surface obtained by...Ch. 8.2 - Prob. 14ECh. 8.2 - The given curve is rotated about the y-axis. Find...Ch. 8.2 - The given curve is rotated about the y-axis. Find...Ch. 8.2 - The given curve is rotated about the y-axis. Find...Ch. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Use Simpsons Rule with n = 10 to approximate the...Ch. 8.2 - Use Simpsons Rule with n = 10 to approximate the...Ch. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - If the region ={(x,y)x1,0y1/x} is rotated about...Ch. 8.2 - If the infinite curve y=ex,x0, is rotated about...Ch. 8.2 - Prob. 29ECh. 8.2 - A group of engineers is building a parabolic...Ch. 8.2 - a The ellipse x2a2+y2b2=1ab is rotated about the...Ch. 8.2 - Find the surface area of the torus in Exercise...Ch. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Find the area of the surface obtained by rotating...Ch. 8.2 - a Show that the surface area of a zone of a sphere...Ch. 8.2 - Show that if we rotate the curve y=ex/2+ex/2 about...Ch. 8.2 - Prob. 38ECh. 8.2 - Formula 4 is valid only when f(x)0. Show that when...Ch. 8.3 - An aquarium 5 ft long, 2 ft wide, and 3 ft deep is...Ch. 8.3 - A tank is 8 m long, 4 m wide, 2 m high, and...Ch. 8.3 - Prob. 3ECh. 8.3 - A vertical plate is submerged or partially...Ch. 8.3 - A vertical plate is submerged or partially...Ch. 8.3 - Prob. 6ECh. 8.3 - A vertical plate is submerged or partially...Ch. 8.3 - A vertical plate is submerged or partially...Ch. 8.3 - A vertical plate is submerged or partially...Ch. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - A milk truck carries milk with density 64.6lb/ft3...Ch. 8.3 - A trough is filled with a liquid of density...Ch. 8.3 - A vertical dam has a semicircular gate as shown in...Ch. 8.3 - A cube with 20-cm-long sides is sitting on the...Ch. 8.3 - Prob. 16ECh. 8.3 - A swimming pool is 20 ft wide and 40 ft long and...Ch. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Sketch the region bounded by the curves, and...Ch. 8.3 - Sketch the region bounded by the curves, and...Ch. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Find the centroid of the region bounded by the...Ch. 8.3 - Find the centroid of the region bounded by the...Ch. 8.3 - Calculate the moments Mx and My and the center of...Ch. 8.3 - Calculate the moments Mx and My and the center of...Ch. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prove that the centroid of any triangle is located...Ch. 8.3 - Find the centroid of the region shown, not by...Ch. 8.3 - Find the centroid of the region shown, not by...Ch. 8.3 - A rectangle with sides a and b is divided into...Ch. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Use the Theorem of Pappus to find the volume of...Ch. 8.3 - Use the Theorem of Pappus to find the volume of...Ch. 8.3 - The centroid of a curve can be found by a process...Ch. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.4 - The marginal cost function C(x) was defined to be...Ch. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - The supply function ps(x) for a commodity gives...Ch. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - A camera company estimates that the demand...Ch. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - A hot, wet summer is causing a mosquito population...Ch. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - The dye dilution method is used to measure cardiac...Ch. 8.4 - Prob. 22ECh. 8.4 - The graph of the concentration function c(t) is...Ch. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Let f(x)=c/(1+x2). a For what value of c is f a...Ch. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - a Explain why the function whose graph is shown is...Ch. 8.5 - Show that the median waiting time for a phone call...Ch. 8.5 - Prob. 10ECh. 8.5 - An online retailer has determined that the average...Ch. 8.5 - The time between infection and the display of...Ch. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - The speeds of vehicles on a highway with speed...Ch. 8.5 - Prob. 18ECh. 8.5 - For any normal distribution, find the probability...Ch. 8.5 - Prob. 20ECh. 8.5 - The hydrogen atom is composed of one proton in the...Ch. 8.R - Prob. 1CCCh. 8.R - Prob. 2CCCh. 8.R - Prob. 3CCCh. 8.R - a What is the physical significance of the centre...Ch. 8.R - Prob. 5CCCh. 8.R - Prob. 6CCCh. 8.R - Prob. 7CCCh. 8.R - Prob. 8CCCh. 8.R - Prob. 9CCCh. 8.R - Prob. 10CCCh. 8.R - Prob. 1ECh. 8.R - Prob. 2ECh. 8.R - Prob. 3ECh. 8.R - a Find the length of the curve y=x416+12x21x2 b...Ch. 8.R - Prob. 5ECh. 8.R - Prob. 6ECh. 8.R - Prob. 7ECh. 8.R - Prob. 8ECh. 8.R - Prob. 9ECh. 8.R - Find the area of the surface obtained by rotating...Ch. 8.R - A gate in an irrigation canal is constructed in...Ch. 8.R - A trough is filled with water and its vertical...Ch. 8.R - Prob. 13ECh. 8.R - 1314 Find the centroid of the region shown.Ch. 8.R - Prob. 15ECh. 8.R - Prob. 16ECh. 8.R - Prob. 17ECh. 8.R - Prob. 18ECh. 8.R - Prob. 19ECh. 8.R - Prob. 20ECh. 8.R - Prob. 21ECh. 8.R - Lengths of human pregnancies are normally...Ch. 8.R - The length of time spent waiting in line at a...Ch. 8.P - Find the area of the region...Ch. 8.P - Find the centroid of the region enclosed by the...Ch. 8.P - If a sphere of radius r is sliced by a plane whose...Ch. 8.P - a Show that an observer at height H above the...Ch. 8.P - Prob. 5PCh. 8.P - The figure shows a semicircle with radius 1,...Ch. 8.P - Prob. 7PCh. 8.P - Consider a flat metal plate to be placed...Ch. 8.P - Prob. 9PCh. 8.P - A triangle with area 30cm2 is cut from a corner of...Ch. 8.P - Prob. 11PCh. 8.P - If the needle in Problem 11 has length hL, its...Ch. 8.P - Prob. 13P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- A force of 62,125 pounds pulls on a steel rod that has a diameter of 1800 inches. Find the force pulling on 1 square inch of the cross-sectional area. Round the answer to the nearest pound.arrow_forwardAn aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic pressure on the bottom of the aquarium the hydrostatic force on the bottom of the aquarium the hydrostatic force on one end of the aquarium & 2. 6.arrow_forwardA swimming pool is 10 ft wide and 36 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 12 ft. If the pool is full of water, find the hydrostatic force on the shallow end. (Use the fact that water weighs 62.5 lb/ft³.)arrow_forward
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