Suppose the size of a cell culture at time t is given by the function 2t f(t) = (ex² + √t) ² The equation of the tangent line to the graph of fat the point (2,f(1/2)) is: t> 0.1 a) y = 0.0532 - 0.908t Ob) y = 1.1864 -0.0616012t Ody 0.768255 + 0.0616015t d) y = 1.18639 +0.520731t

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose the size of a cell culture at time t is given by the function
ƒ(t) = (ex² + √²) ²
2
The equation of the tangent line to the graph of fat the point (2,f()) is:
t> 0.1
a) y
a) y = 0.0532 - 0.908t
b) y = 1. 1864 - 0.0616012t
Oc) y = 0.768255+ 0.0616015t
d) y = 1.18639 +0.520731t
Transcribed Image Text:Suppose the size of a cell culture at time t is given by the function ƒ(t) = (ex² + √²) ² 2 The equation of the tangent line to the graph of fat the point (2,f()) is: t> 0.1 a) y a) y = 0.0532 - 0.908t b) y = 1. 1864 - 0.0616012t Oc) y = 0.768255+ 0.0616015t d) y = 1.18639 +0.520731t
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