College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![[12]
3. Use logarithmic differentiation to find the derivative of y with respect to the given independent variab
(a) y= V(r² +1)(x – 1)²
O sin(0)
/sec(0)
(b) у —](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F484a8933-cb4a-44d7-bad6-d3c5064346be%2F353836cb-4a0b-4c1a-878f-a2f789d3449d%2Fjvpqgwk_processed.png&w=3840&q=75)
Transcribed Image Text:[12]
3. Use logarithmic differentiation to find the derivative of y with respect to the given independent variab
(a) y= V(r² +1)(x – 1)²
O sin(0)
/sec(0)
(b) у —
![(c) y= (tan r)*²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F484a8933-cb4a-44d7-bad6-d3c5064346be%2F353836cb-4a0b-4c1a-878f-a2f789d3449d%2Fi6ukd4d_processed.png&w=3840&q=75)
Transcribed Image Text:(c) y= (tan r)*²
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