The James Webb Space Telescope (JWST) is a new space telescope currently under construction. The JWST will orbit the Sun in an orbit roughly 1.5 million km from the earth, in a position with the Earth between the telescope and the Sun. The primary mirror of the JWST will consist of 18 hexagonally shaped segments that when fitted together will be 6.5 min diameter (over 2.5 times the diameter of the Hubble). With a larger mirror, the JWST will be able to collect more light to “see" deeper into space. The primary mirror when pieced together will function as a parabolic mirror with a focal length of 131.4 m . Suppose that a coordinate system is chosen with 0 , 0 at the center of a cross section of the primary mirror. Write an equation of the parabolic cross section of the mirror for − 3.25 ≤ x ≤ 3.25 . Assume that x and y are measured in meters.
The James Webb Space Telescope (JWST) is a new space telescope currently under construction. The JWST will orbit the Sun in an orbit roughly 1.5 million km from the earth, in a position with the Earth between the telescope and the Sun. The primary mirror of the JWST will consist of 18 hexagonally shaped segments that when fitted together will be 6.5 min diameter (over 2.5 times the diameter of the Hubble). With a larger mirror, the JWST will be able to collect more light to “see" deeper into space. The primary mirror when pieced together will function as a parabolic mirror with a focal length of 131.4 m . Suppose that a coordinate system is chosen with 0 , 0 at the center of a cross section of the primary mirror. Write an equation of the parabolic cross section of the mirror for − 3.25 ≤ x ≤ 3.25 . Assume that x and y are measured in meters.
The James Webb Space Telescope (JWST) is a new space telescope currently under construction. The JWST will orbit the Sun in an orbit roughly
1.5
million km from the earth, in a position with the Earth between the telescope and the Sun. The primary mirror of the JWST will consist of
18
hexagonally shaped segments that when fitted together will be
6.5
min diameter (over
2.5
times the diameter of the Hubble). With a larger mirror, the JWST will be able to collect more light to “see" deeper into space.
The primary mirror when pieced together will function as a parabolic mirror with a focal length of
131.4
m
. Suppose that a coordinate system is chosen with
0
,
0
at the center of a cross section of the primary mirror. Write an equation of the parabolic cross section of the mirror for
−
3.25
≤
x
≤
3.25
. Assume that x and y are measured in meters.
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.
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
Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x.
h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1
-
-
-
f(x) = ☐
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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