Chat with AIExam 9: Further Applications of the Integral and Taylor Polynomials
Exam 1: Precalculus Review74 Questions
Exam 2: Limits97 Questions
Exam 3: Differentiation81 Questions
Exam 4: Applications of the Derivative77 Questions
Exam 5: The Integral82 Questions
Exam 6: Applications of the Integral80 Questions
Exam 7: Exponential Functions106 Questions
Exam 8: Techniques of Integration101 Questions
Exam 9: Further Applications of the Integral and Taylor Polynomials100 Questions
Exam 10: Introduction to Differential Equations73 Questions
Exam 11: Infinite Series95 Questions
Exam 12: Parametric Equations, Polar Coordinates, and Conic Sections71 Questions
Exam 13: Vector Geometry96 Questions
Exam 14: Calculus of Vector-Valued Functions99 Questions
Exam 15: Differentiation in Several Variables95 Questions
Exam 16: Multiple Integration98 Questions
Exam 17: Line and Surface Integrals92 Questions
Exam 18: Fundamental Theorems of Vector Analysis91 Questions
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The plate shown in the figure below, bounded by the graph of 
and the
y-axis, is submerged vertically in a fluid with density 
so that its top is level with the fluid surface.
Find the fluid pressure on a side of the plate if 
is given in terms of weight per unit volume. 
and the
y-axis, is submerged vertically in a fluid with density so that its top is level with the fluid surface.
Find the fluid pressure on a side of the plate if is given in terms of weight per unit volume. 
Free
(Essay)
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(30)
(30) Correct Answer:
Verified
Verified
A rectangular box with height 2 m, width 3 m, and length 4 m is submerged in a pool of water. The top of the box is 5 m below the surface of the water.
Compute the fluid force on one of the box sides with dimensions 4 m by 2 m.
Free
(Short Answer)
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(32) Correct Answer:Verified
Verified470,400 N
for 
.
A thin plate shown in the figure below, bounded by the curves 
and 
, is submerged vertically in water with its top 
ft below the water surface. Calculate the fluid force on a side of the plate.
(The density of water is 
) 
and , is submerged vertically in water with its top ft below the water surface. Calculate the fluid force on a side of the plate.
(The density of water is ) (Short Answer)
4.8/5 (25)
(25) Compute the surface area of revolution of 
about the x-axis over the interval 
.
about the x-axis over the interval . (Short Answer)
4.8/5 (29)
(29) Find the area of the surface obtained by rotating the graph of 
, 
about the x-axis. 
, about the x-axis. (Essay)
4.8/5 (36)
(36) Let 
.
A) Write the Maclaurin polynomial 
for 
.
B) Use Taylor's Theorem for 
to write an integration formula for 
.
.
A) Write the Maclaurin polynomial for .
B) Use Taylor's Theorem for to write an integration formula for . (Essay)
4.9/5 (40)
(40) Compute 
for 
centered at 
. Use the error bound to find the maximum possible size of error of 
.
for centered at . Use the error bound to find the maximum possible size of error of . (Essay)
4.8/5 (41)
(41) 
centered at 
for 
.An infinite plate occupying the region bounded by the functions 
and 
on the interval 
is submerged vertically so that the top of the plate is under 1.5 m of water. What is the fluid force on the side of the plate?
and on the interval is submerged vertically so that the top of the plate is under 1.5 m of water. What is the fluid force on the side of the plate? (Short Answer)
4.9/5 (30)
(30) Compute the surface area of revolution of 
about the x-axis over the interval 
.
about the x-axis over the interval . (Essay)
4.9/5 (33)
(33) A thin plate shown in the figure below, bounded by the curves 
, 
, and 
is submerged vertically in water, with its top level with the water's surface. Calculate the fluid force on a side of the plate.
(The density of water is 
) 
, , and is submerged vertically in water, with its top level with the water's surface. Calculate the fluid force on a side of the plate.
(The density of water is ) (Short Answer)
4.8/5 (35)
(35) Compute the area of the surface obtained by rotating the graph of 
, 
about the x-axis. 
, about the x-axis. (Essay)
4.8/5 (33)
(33) Find the area of the surface obtained by rotating the loop 
, 
, 
about the x-axis.
Use implicit differentiation to facilitate your computations. 
, , about the x-axis.
Use implicit differentiation to facilitate your computations. (Essay)
4.8/5 (35)
(35) A plate bounded by the functions 
, 
, 
and 
is submerged vertically so that the top of the plate is under 4 m of water. What is the fluid force on the side of the plate?
, , and is submerged vertically so that the top of the plate is under 4 m of water. What is the fluid force on the side of the plate? (Short Answer)
4.8/5 (41)
(41) The coefficient of 
in the Maclaurin polynomials 
( 
) for 
is:
in the Maclaurin polynomials ( ) for is: (Multiple Choice)
4.8/5 (23)
(23) A plate occupying the region bounded by the functions 
and 
is submerged vertically so that the top of the plate is under 2 m of water. What is the fluid force on the side of the plate?
and is submerged vertically so that the top of the plate is under 2 m of water. What is the fluid force on the side of the plate? (Short Answer)
5.0/5 (37)
(37) A right triangle is submerged vertically in water so that the base is the part of the triangle which is closest to the surface. Suppose that the base of the triangle is 2 ft long, and the height is 6 ft. What is the fluid force on a side of the triangle if the base is 3 ft from the surface? (The density of water is 
)
) (Short Answer)
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