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1) lim-sinx x-0 2) lim - (x . tan x

1) lim-sinx x-0 2) lim - (x . tan x

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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H.W х-sinx 1) lim 2) lim - (x-). ta x 3): write an equation for the tangent line at x-3 of the curve: f(x) = 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 = t3 - 3t2 + 2t a) When is the particle at O? 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: 1 y = (x3 - 6x2 + 9x + 6) 6) A wire of length L is 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:H.W х-sinx 1) lim 2) lim - (x-). ta x 3): write an equation for the tangent line at x-3 of the curve: f(x) = 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 = t3 - 3t2 + 2t a) When is the particle at O? 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: 1 y = (x3 - 6x2 + 9x + 6) 6) A wire of length L is 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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