5) The flight path of a missle follows the curve y = 2x -1 in such a way that the y value is 3 decreasing at the rate of 2 meters/sec. At what rate is x chang ing when x = -: 7 meters/sec 7 (a) decreasing (b) Increasing meters/sec 2 (c) increasing - meters/sec 3 (d) decreasing meters/sec 3

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
Question

I need help with #5 and #6

 

5) The flight path of a missle follows the curve y = 2x² -1 in such a way that the y value is
3
decreasing at the rate of 2 meters/sec. At what rate is x chang ing when x =
2
7
7
meters/sec
2
(b) Increasing - meters/sec
1
meters/sec
3
(a) decreasing
(c) increasing
1
(d) decreasing
meters/sec
3
dy
for y =
dx
(x+2)
6) Use logarithmic differentiation to find
(a) y'=-.
x²-1
1
(b) y'=-
x+2 x-1
(x+2)
1
1
(d) y'=
x+2
2x
(c) y'=
Vx -1(x+2
-1
-1
Transcribed Image Text:5) The flight path of a missle follows the curve y = 2x² -1 in such a way that the y value is 3 decreasing at the rate of 2 meters/sec. At what rate is x chang ing when x = 2 7 7 meters/sec 2 (b) Increasing - meters/sec 1 meters/sec 3 (a) decreasing (c) increasing 1 (d) decreasing meters/sec 3 dy for y = dx (x+2) 6) Use logarithmic differentiation to find (a) y'=-. x²-1 1 (b) y'=- x+2 x-1 (x+2) 1 1 (d) y'= x+2 2x (c) y'= Vx -1(x+2 -1 -1
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