Tan(60)=Opposite or L /20cm
*20. *20
Tan(60)*20=L
34.64101615=L
34.64 (to the nearest hundredth of a meter or cm)
For a taylor polynomial
<span>f(x) = Sum a_n x^(n) </span>
<span>= Pn + epsilon </span>
<span>epsilon = Sum a_n+1 (x-x_0)^(n+1) </span>
<span>Lagrange remainder </span>
<span>a_n = f^(n) (x_0) / n! </span>
<span>|epsilon| < ∫ [x_0 to x] f^(n+1)(t) / (t - x_0)^n / n! dt </span>
<span>< max (|f^(n+1)|) (x-x_0)^n+1 / n+1! </span>
<span>In the Taylor expansion of sin x </span>
<span>sin x = x - x^3/3! ... </span>
<span>find n such that epsilon < 0.0001 </span>
<span>epsilon < max (|f^(n+1)|) (x-x_0)^n+1 / n+1! < 0.0001 </span>
<span>for sin x, max (|f^(n+1)|) < 1 </span>
<span>(6/7) < 1 so (6/7)^n <1 </span>
<span>1/(n+1)! < 0.0001 </span>
<span>n+1! > 0.0001 </span>
<span>(6/7)^7/(n+1)! < 0.0001 </span>
<span>the coefficient of x^6 = 0 in the expansion of sin x </span>
<span>sin x = x - x^3 + x^5 +- 0.0001</span>
Answer:
15
Step-by-step explanation:
cause half of 30 is 15 super easy
Answer:
20%
Step-by-step explanation:
You did not really put the question there but I might have found what you were looking for:
The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate
• 12 students voted for strawberry
• 20 students voted for vanilla
What percentage of the students chose vanilla as their favorite ice-cream flavor? 20%
Step-by-step explanation:
ydaufdlligsufauorupraiyd