5) Find the equation of the line tangent to 9x? + 4y³ = 76 at x = 2.

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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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5) Find the equation of the line tangent to 9a? + 4y3 = 76 at r = 2.
dy
at x = 0 where y = arctan(arcsin(x) + 4) + 3x2 – 3. Would it make sense to try to
dx
dy
at r = 2? Why or why not?
dr
6) Find
find
7) Find the instantaneous rate of change of f(æ) = ecos(a²)
+ sin(In(82)) at x = 1.
8) Suppose that the number of bald eagles in the U.S. at any given time is given by
P(t) = 50, 000 – 1, 000t + 50t²
12). Is the U.S. bald eagle population
where t is the number of years since 2000 (i.e. 2012 is t =
growing faster now than it was in 2015?
Transcribed Image Text:5) Find the equation of the line tangent to 9a? + 4y3 = 76 at r = 2. dy at x = 0 where y = arctan(arcsin(x) + 4) + 3x2 – 3. Would it make sense to try to dx dy at r = 2? Why or why not? dr 6) Find find 7) Find the instantaneous rate of change of f(æ) = ecos(a²) + sin(In(82)) at x = 1. 8) Suppose that the number of bald eagles in the U.S. at any given time is given by P(t) = 50, 000 – 1, 000t + 50t² 12). Is the U.S. bald eagle population where t is the number of years since 2000 (i.e. 2012 is t = growing faster now than it was in 2015?
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5)

Consider the curve 

9x2+4y3=76      at x=2

 

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