Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air, c p kJ / ( kg K ) , to temperature ( K ) : c p = 0.99403 + 1.671 × 10 − 4 T + 9.7215 × 10 − 8 T 2 − 9.5838 × 10 − 11 T 3 + 1.9520 × 10 − 14 T 4 Determine the temperature that corresponds to a specific heat of 1.2 kJ / ( kg K ) .
Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air, c p kJ / ( kg K ) , to temperature ( K ) : c p = 0.99403 + 1.671 × 10 − 4 T + 9.7215 × 10 − 8 T 2 − 9.5838 × 10 − 11 T 3 + 1.9520 × 10 − 14 T 4 Determine the temperature that corresponds to a specific heat of 1.2 kJ / ( kg K ) .
Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air,
c
p
kJ
/
(
kg
K
)
, to temperature
(
K
)
:
c
p
=
0.99403
+
1.671
×
10
−
4
T
+
9.7215
×
10
−
8
T
2
−
9.5838
×
10
−
11
T
3
+
1.9520
×
10
−
14
T
4
Determine the temperature that corresponds to a specific heat of
1.2
kJ
/
(
kg
K
)
.
Temperatures (°C) are measured at various points on a heated plate, which are reported in the following table. Estimate the temperature when X=4 and Y=3.2, X=4.3 and Y=2.7, furthermore, generate the expression describing the temperature behavior for X=6, by Newton's polynomial.
I put the table on a Image
Illustration No. 6. Find all the zeroes of
each polynomial function.
a. F(x) = 2x³ - x² - 2x+1
b. G(x) = 3x³+4x² - 5x-2
1
C. H(x) = 2x¹ − 11x³ + 17x² - 10x2
d. p(x) = x³ + 27
ame screen.
51. Biologists have proposed a cubic polynomial to model the
length L of Alaskan rockfish at age A:
Зх — у-
E 60. At what
L= 0.0155A³ - 0.372A? + 3.95A + 1.21
line par:
where Lis measured in inches and A in years. Calculate
the cur
61. Find an
dL
that is
dA
A=12
62. Where
and interpret your answer.
the por
52. The number of tree species S in a given area A in the Pasoh
Illustra
Forest Reserve in Malaysia has been modeled by the power
63. Draw
function
the pa
S(A) =
0.882A0.842
Find
where A is measured in square meters. Find S' (100) and
interpret your answer.
inters
64. (a)
Source: Adapted from K. Kochummen et al., "Floristic Composition of Pasoh
Forcst Rescrve, A Lowland Rain Forcst in Pcninsular Malaysia," Journal of
(b)
Tropical Forest Science 3 (1991):1–13.
53. Boyle's Law states that when a sample of gas is compressed
65. Us
at a constant temperature, the pressure P of the gas is
inversely proportional to the volume V of the gas.
(a) Suppose that the pressure of a…
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