Pictures of solids Draw the solid whose volume is given by the following iterated integrals. Then find the volume of the solid. 41. ∫ 0 6 ∫ 1 2 10 d y d x
Pictures of solids Draw the solid whose volume is given by the following iterated integrals. Then find the volume of the solid. 41. ∫ 0 6 ∫ 1 2 10 d y d x
Pictures of solids Draw the solid whose volume is given by the following iterated integrals. Then find the volume of the solid.
41.
∫
0
6
∫
1
2
10
d
y
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Consider the solid whose base is the region bounded by the x-axis, y = x, and y=-4x + 5. Find the volume of the solid if the slices perpendicular to the
y-axis are rectangles with height sin(y).
Give the exact volume below in the form A + B sin(C) where A, B and C are constants to be determined.
Click on the symbol for the equation editor to enter in math mode.
b
a
sin (a)
∞
a
1= find the volume of the solid of revolution.
4-x=(y-2)2
3
2
2
Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis.
y² = x¯¹, x = 1,
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
X = 6, axis y = −6
V = (156+24√√6 +ln(6))π
Incorrect
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You have not correctly calculated the
volume of the solid.
Slice the region vertically and use the
washer method to find the volume of
the solid of revolution.
b
[*(Router - Riner) dx
a
V = π
X
Note that a and b are the x-coordinates
of the intersection points.
Find Router as the distance from the
axis of rotation to the top point of the
region. Find Rinner as the distance from
the axis of rotation to the bottom point
of the region.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY