Consider the parametric equations below. I= 4, y =t+7 (a) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 40E
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Use the Alternating Series Estimation Theorem or Taylor's Formula to estimate the range of values
of z for which the given approximation is accurate to within the stated error. Check your answer
Eraphically. (Round your answers to three decimal places.)
sin z sI
- (Jerror| < 0.001)
We know that
sin z=I
3!
51
By the Alternating Series Estimation Theorem, the error in the approximation sin z = I
31
is
less than
Since we want error <0.000001, then we mus solve
< 0.000001, which gives us
Taking the fifth root of I we have that I<0.164375. When rounded to three decimal places,
this gives a range of values for I as
Consider the parametric equations below.
y =t+7
(a) Sketch the curve and indicate with an arrow the direction in which the curve is traced as
the parameter increases.
Transcribed Image Text:Use the Alternating Series Estimation Theorem or Taylor's Formula to estimate the range of values of z for which the given approximation is accurate to within the stated error. Check your answer Eraphically. (Round your answers to three decimal places.) sin z sI - (Jerror| < 0.001) We know that sin z=I 3! 51 By the Alternating Series Estimation Theorem, the error in the approximation sin z = I 31 is less than Since we want error <0.000001, then we mus solve < 0.000001, which gives us Taking the fifth root of I we have that I<0.164375. When rounded to three decimal places, this gives a range of values for I as Consider the parametric equations below. y =t+7 (a) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.
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