Calculate the values of A, B and C for the following partial fraction decomposition: A = 3x² 20x + 14 x(x² + 3x - 2) B = dx A S (+: C = Bx + C z) dx x2 + 3x 2, -

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A measuring instrument has a 0.5% error, that is, if a length measures 100mm, it
has an error of ±0.5mm.
The radius of a sphere is measured with such instrument as 50mm.
Calculate (to the closest mm³) the Volume of this sphere? Volume =
mm³
Using the "small change formula", calculate (to the closest mm³) the approximate
change in the Volume = ±
mm³
What is the percentage error in the Volume (to one decimal place) given the
formula below?
%
The percentage error in the volume
ΔΙ'
V
x 100 %
Transcribed Image Text:A measuring instrument has a 0.5% error, that is, if a length measures 100mm, it has an error of ±0.5mm. The radius of a sphere is measured with such instrument as 50mm. Calculate (to the closest mm³) the Volume of this sphere? Volume = mm³ Using the "small change formula", calculate (to the closest mm³) the approximate change in the Volume = ± mm³ What is the percentage error in the Volume (to one decimal place) given the formula below? % The percentage error in the volume ΔΙ' V x 100 %
Calculate the values of A, B and C for the following partial fraction
decomposition:
A =
3x² 20x + 14
x(x² + 3x - 2)
B =
dx
A
S(+
C =
Bx + C
x2 + 3x 2,
-
dx
Transcribed Image Text:Calculate the values of A, B and C for the following partial fraction decomposition: A = 3x² 20x + 14 x(x² + 3x - 2) B = dx A S(+ C = Bx + C x2 + 3x 2, - dx
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