limsinx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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国 l令0
5:39
CH3. Application o...
E= 4 minutes
Not drawn to scale
At some time t, the instantaneous velocity is
equal to the average velocity over 4 minutes.
Figure G
H.W
X-sinx
1) lim
2) lim - (x -). tan x
3): write an equation for the tangent line at x=3 of the curve:
fx) =
V2x + 3
4) A particle moves a long a straight line so that after t (second), its distance from O a
fixed point on the line is s (meters), where s = t-3t + 2t
a) When is the particle at 0?
b) What is its velocity and acceleration at these times?
c) What is its average velocity during the first second?
d) What is its average acceleration between t=0 and t=2?
5) Sketch the curve:
y = =(x- 6x + 9x + 6)
6) A wire of length Lis cut into pieces, one being bent to form a square and the other
to form an equilateral triangle. How the wire should be cut:
a) if the sum of the two areas is minimum.
b) if the sum of the two areas is maximum
Transcribed Image Text:国 l令0 5:39 CH3. Application o... E= 4 minutes Not drawn to scale At some time t, the instantaneous velocity is equal to the average velocity over 4 minutes. Figure G H.W X-sinx 1) lim 2) lim - (x -). tan x 3): write an equation for the tangent line at x=3 of the curve: fx) = V2x + 3 4) A particle moves a long a straight line so that after t (second), its distance from O a fixed point on the line is s (meters), where s = t-3t + 2t a) When is the particle at 0? b) What is its velocity and acceleration at these times? c) What is its average velocity during the first second? d) What is its average acceleration between t=0 and t=2? 5) Sketch the curve: y = =(x- 6x + 9x + 6) 6) A wire of length Lis cut into pieces, one being bent to form a square and the other to form an equilateral triangle. How the wire should be cut: a) if the sum of the two areas is minimum. b) if the sum of the two areas is maximum
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