if x=2 , f(x)=1if x=3 , f(x)=4if x=5 , f(x)=-2if x=8 , f(x)=3if x=13 ,...

sibuzwaW

sibuzwaW

Answered question

2021-10-26

if x=2 , f(x)=1
if x=3 , f(x)=4
if x=5 , f(x)=-2
if x=8 , f(x)=3
if x=13 , f(x)=6
f is twice variable for all real numbers.
1. Find f'(4)
2. Approximate 213f(x)dx
2. Find the value of 28(3f(x))dx

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-10-27Added 107 answers

1. f(4)=f(5)f(3)53
=(-2-4)/2
=-3
2. The lengths of intervals are 1, 2, 3, and 5 respectively. Right end points:
x1=3,x2=5,x3=8,x4=13
Use Riemann Sum:
R4=f(3)×1+f(5)×2+f(8)×3+f(13)×5
R4=42×2+3×3+6×5
R4=39
3. (C)
28(3f(x))dx=[3xf(x)]28
=3×8f(8)3×2+f(2)
=24-3-6+1
=16

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