Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 76E
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Question
How can I prove that if h=h1 the distance x is the maximum
![[Q2-THOUGHT EXPERIMENT**]
We place a marble at the top of the
tube shown in the figure. The marble
shoots out from the tube and lands at a
distance x
Q2a) Express x as a function of
h₂
h and h₁
Q2b) Discuss how the marble's exiting speed (from the tube) would be affected if we raised
the entire contraption shown in fig. 5 by h₂ but keeping h constant. Show work.
Q2c) Prove that if h = h₁ m the marble x will be maximum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15d4bd5a-5aec-4226-8111-77bf996698a8%2F09baa642-c5b0-457b-a57e-2348c3088861%2Fqar42oi_processed.png&w=3840&q=75)
Transcribed Image Text:[Q2-THOUGHT EXPERIMENT**]
We place a marble at the top of the
tube shown in the figure. The marble
shoots out from the tube and lands at a
distance x
Q2a) Express x as a function of
h₂
h and h₁
Q2b) Discuss how the marble's exiting speed (from the tube) would be affected if we raised
the entire contraption shown in fig. 5 by h₂ but keeping h constant. Show work.
Q2c) Prove that if h = h₁ m the marble x will be maximum.
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