At any distance x from the source of light, the intensity of illumination varies directly as the intensity of the source and inversely as the square of x. Suppose that there is a light at A, and another at B, the one at B having an intensity 8 times that of A. The distance AB is 4 m. At what point from A on the line AB will the intensity of illumination be least? A. B. C. D. 2.15 m 1.33 m 1.50 m 1.92 m
At any distance x from the source of light, the intensity of illumination varies directly as the intensity of the source and inversely as the square of x. Suppose that there is a light at A, and another at B, the one at B having an intensity 8 times that of A. The distance AB is 4 m. At what point from A on the line AB will the intensity of illumination be least? A. B. C. D. 2.15 m 1.33 m 1.50 m 1.92 m
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
Related questions
Question
![- At any distance x from the source of light,
the intensity of illumination varies directly
as the intensity of the source and inversely
as the square of x. Suppose that there is a
light at A, and another at B, the one at B
having an intensity 8 times that of A. The
distance AB is 4 m. At what point from A
on the line AB will the intensity of
illumination be least?
A.
B.
C.
D.
2.15 m
1.33 m
1.50 m
1.92 m
A wall "h" meters high is 2 m away from
the building. The shortest ladder that can
reach the building with one end resting on
the ground outside the wall is 6 m. How
high is the wall in meters?
A. 2.34
B. 2.24
C. 2.44
D. 2.14
The coordinates (x,y) in feet of a moving
particle P are given by x = cost-1 and y=
2 sin t-+ 1, where t is the time in seconds.
At what extreme rates in fps is P moving
along the curve?
A. 3 and 2
B. 3 and 1
C. 2 and 0.5
D. 2 and 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3acc4e6e-4ebd-4376-b0ae-e38ac1b979db%2F0d300728-c0ae-4fbf-bc19-4cda526a6627%2Fe3n2qg8_processed.png&w=3840&q=75)
Transcribed Image Text:- At any distance x from the source of light,
the intensity of illumination varies directly
as the intensity of the source and inversely
as the square of x. Suppose that there is a
light at A, and another at B, the one at B
having an intensity 8 times that of A. The
distance AB is 4 m. At what point from A
on the line AB will the intensity of
illumination be least?
A.
B.
C.
D.
2.15 m
1.33 m
1.50 m
1.92 m
A wall "h" meters high is 2 m away from
the building. The shortest ladder that can
reach the building with one end resting on
the ground outside the wall is 6 m. How
high is the wall in meters?
A. 2.34
B. 2.24
C. 2.44
D. 2.14
The coordinates (x,y) in feet of a moving
particle P are given by x = cost-1 and y=
2 sin t-+ 1, where t is the time in seconds.
At what extreme rates in fps is P moving
along the curve?
A. 3 and 2
B. 3 and 1
C. 2 and 0.5
D. 2 and 1
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