Let f(z) = sin(x). We want to approximate the value of sin(3). Use a base point of x = to find a tangent line approximation of f(x)=sin(z) and use your approximation to fill in the following blankos If, then sin(x)~ sin(3)~ (tangent line) Use two base points to = /2 and ₁= 3/2 to find a secant line approximation of f(x) = sin(x) and use your approximation to fill in the following blanks: If x/2 < x < 3/2, then sin(r)~ sin (3)= (secant line) What does your calculator give you for sin (3) (to 6 decimal places)? sin(3)= Which approximation was closer, tangent or secant?

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 35E
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Let f(x) = sin(x). We want to approximate the value of sin(3).
Use a base point of = to find a tangent line approximation of f(x) = sin(x) and use your approximation to fill in the following blanics:
(tangent line)
If
sin (3)
, then sin(x) =
≈
Use two base points zo = π/2 and ₁ = 3/2 to find a secant line approximation of f(x) = sin(z) and use your approximation to fill in the following
blanks:
If x/2 < x < 3/2, then sin(2) ~(secant line)
sin (3)
What does your calculator give you for sin (3) (to 6 decimal places)?
sin(3)=
Which approximation was closer, tangent or secant?
77B
S
31
4
Nov 4
Transcribed Image Text:Let f(x) = sin(x). We want to approximate the value of sin(3). Use a base point of = to find a tangent line approximation of f(x) = sin(x) and use your approximation to fill in the following blanics: (tangent line) If sin (3) , then sin(x) = ≈ Use two base points zo = π/2 and ₁ = 3/2 to find a secant line approximation of f(x) = sin(z) and use your approximation to fill in the following blanks: If x/2 < x < 3/2, then sin(2) ~(secant line) sin (3) What does your calculator give you for sin (3) (to 6 decimal places)? sin(3)= Which approximation was closer, tangent or secant? 77B S 31 4 Nov 4
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,