A cylindrical glass of water with diameter 3.5 in . sits on a horizontal counter top. a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle. b. If the glass is tipped 30 ° , what shape will the surface of the water have? c. With the glass tipped 30 ° , the waterline makes a slope of 1 2 with the coordinate system shown. Determine the length of the major and minor axes. Round to 1 decimal place.
A cylindrical glass of water with diameter 3.5 in . sits on a horizontal counter top. a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle. b. If the glass is tipped 30 ° , what shape will the surface of the water have? c. With the glass tipped 30 ° , the waterline makes a slope of 1 2 with the coordinate system shown. Determine the length of the major and minor axes. Round to 1 decimal place.
Solution Summary: The author explains the equation of the circular surface of water in a cylindrical glass of diameter 3.5in that sits on the horizontal counter top.
A cylindrical glass of water with diameter
3.5
in
.
sits on a horizontal counter top.
a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle.
b. If the glass is tipped
30
°
,
what shape will the surface of the water have?
c. With the glass tipped
30
°
,
the waterline makes a slope of
1
2
with the coordinate system shown. Determine the length of the major and minor axes. Round to 1 decimal place.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up the piecewise function and integrating
T
1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
F3
a
FEB
9
2
7
0
MacBook Air
3
2
stv
DG
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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