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Step by step integral explanation using G4
D- Integral G.4 3/2 1 8RT12 2π RT...
Evaluate each integral using the definition of the definite integral with right endpoints and taking the...
Evaluate each integral using the definition of the definite
integral with right endpoints and taking the limit. (Note: You need
to write out the Riemann sum and use the summation formulas.)
(a)
0 (x^2+2x-5) dx
x+b-a/n=
xi=a+Ix=
(b)
1 x^3 dx
x=b-a/n=
xi=a+Ix=
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1. (a) Find L4 and R4 for the integral 1 (x sin x/2) dx Show the...
1. (a) Find L4 and R4 for the integral
1 (x sin x/2) dx
Show the setup and round the answer to threedecimal places.
(b) Find M4 for the integral
1 (x sin x/2) dx . Show the setup and round the answer to four
decimal places.
Sketch the approximating rectangles on the graph.
(c) Compare the estimates with the actual value
1 (x sin x/2) dx
10.243 . Which estimate is the most accurate?
(d) Express the integral from...
solve 1 and 2. Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Seco...
solve 1 and 2.
Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B) cos (x3) A) 6x5 cos (x3)
Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B)...
Let X(t) = 2; if 0 t 1; 3; if 1 t 3; -5; if 3 t 4: or in one formula X(t) = 2I[0;1](t) + 3I...
Let X(t) =
2; if 0 t 1;
3; if 1 t 3;
-5; if 3 t 4:
or in one formula X(t) = 2I[0;1](t) +
3I(1;3](t) -
5I(3;4](t).
Give the Itˆo integral
X(t)dB(t)
as a sum of random variables, give its distribution,
specify the mean and the variance.
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe...
chedule the following activities using CPM: ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) A — 5 B A...
chedule the following activities using CPM:
ACTIVITY
IMMEDIATE PREDECESSOR
TIME (WEEKS)
A
—
5
B
A
3
C
A
4
D
B
6
E
C
D
8
F
D
2
G
F
4
H
E
G
3
b. What is the critical path?
A-B-D-E-H
A-B-D-F-G-H
A-C-E-F-G-H
A-C-E-H
c. How many weeks will it take to complete the
project?
d. Which activities have slack, and how
much?
B
1 week
H
2 weeks
F
4 weeks.
C
5 weeks
F
2...
1. a) Find using integration by parts. Does the improper integral converge? b) What can you...
1. a) Find
using integration by parts. Does the improper integral
converge?
b) What can you say about the infinite series
using the improper integral in the previous part? Estimate the
partial sum S100 =
. Find upper bound for R100 =
and use the integral test.
We were unable to transcribe this imagepinsinity In(x)}dz We were unable to transcribe this image100 In(n) 2 73 n=101
15. Consider the reaction 2 NO2(g) N2O4(g) . (a) Using Gf N2O4(g) = 97.79 kJ/mol and...
15. Consider the reaction 2 NO2(g)
N2O4(g) .
(a) Using Gf
N2O4(g) = 97.79 kJ/mol and Gf NO2(g)
= 51.3 kJ/mol, calculate G° at 298 K.
kJ
(b) Calculate G at 298 K if the partial pressures of
NO2 and N2O4 are 0.35 atm and 1.60
atm, respectively.
kJ
16. Consider the reaction given below.
H2(g) + F2(g)
2 HF(g)
(a) Using thermodynamic data from the course website, calculate
G° at 298 K.
kJ
(b) Calculate G at 298 K...
1. (a) Using cylindrical coordinates, set up an integral to calculate the volume of the region...
1. (a) Using cylindrical coordinates, set up an integral to calculate the volume of the region inside the ellipsoid 4.r? + 4y + z2 = 1 and above the plane z = -1/2. We were unable to transcribe this image
For an ideal gas, ∆ = ∆T, and = (3/2)R. A good first step is to...
For an ideal gas, ∆
=
∆T, and
= (3/2)R. A good first step is to calculate the temperature at
each of the for states numbered 1-4. Summarize the results in a
table and answer this question:
a. Of the following quantities, which are zero for a cyclic
process: U, w, q?
mu processes. Suppose that 0.0500-mole of an ideal monatomic gas undergoes the reversible cyclic process shown below. Calculate w, 9, and AU for each step and for the...
Let S ⊆ be the tetrahedron having vertices (0, 0, 0), (0, 1, 1), (1, 2,...
Let S ⊆
be the tetrahedron having vertices (0, 0, 0), (0, 1, 1), (1, 2,
3), and (−1, 0, 1).
Let f :
→
be the function defined by f(x, y, x) = x − 2y + 3z.
Using the change of variables theorem,
rewrite
as an integral over a 3-rectangle, then use Fubini’s theorem to
evaluate the integral.
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image}
Evaluate each integral using the definition of the definite
integral with right endpoints and taking the limit. (Note: You need
to write out the Riemann sum and use the summation formulas.)
(a)
0 (x^2+2x-5) dx
x+b-a/n=
xi=a+Ix=
(b)
1 x^3 dx
x=b-a/n=
xi=a+Ix=
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
1. (a) Find L4 and R4 for the integral
1 (x sin x/2) dx
Show the setup and round the answer to threedecimal places.
(b) Find M4 for the integral
1 (x sin x/2) dx . Show the setup and round the answer to four
decimal places.
Sketch the approximating rectangles on the graph.
(c) Compare the estimates with the actual value
1 (x sin x/2) dx
10.243 . Which estimate is the most accurate?
(d) Express the integral from...
solve 1 and 2.
Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B) cos (x3) A) 6x5 cos (x3)
Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B)...
Let X(t) =
2; if 0 t 1;
3; if 1 t 3;
-5; if 3 t 4:
or in one formula X(t) = 2I[0;1](t) +
3I(1;3](t) -
5I(3;4](t).
Give the Itˆo integral
X(t)dB(t)
as a sum of random variables, give its distribution,
specify the mean and the variance.
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe...
chedule the following activities using CPM:
ACTIVITY
IMMEDIATE PREDECESSOR
TIME (WEEKS)
A
—
5
B
A
3
C
A
4
D
B
6
E
C
D
8
F
D
2
G
F
4
H
E
G
3
b. What is the critical path?
A-B-D-E-H
A-B-D-F-G-H
A-C-E-F-G-H
A-C-E-H
c. How many weeks will it take to complete the
project?
d. Which activities have slack, and how
much?
B
1 week
H
2 weeks
F
4 weeks.
C
5 weeks
F
2...
1. a) Find
using integration by parts. Does the improper integral
converge?
b) What can you say about the infinite series
using the improper integral in the previous part? Estimate the
partial sum S100 =
. Find upper bound for R100 =
and use the integral test.
We were unable to transcribe this imagepinsinity In(x)}dz We were unable to transcribe this image100 In(n) 2 73 n=101
15. Consider the reaction 2 NO2(g)
N2O4(g) .
(a) Using Gf
N2O4(g) = 97.79 kJ/mol and Gf NO2(g)
= 51.3 kJ/mol, calculate G° at 298 K.
kJ
(b) Calculate G at 298 K if the partial pressures of
NO2 and N2O4 are 0.35 atm and 1.60
atm, respectively.
kJ
16. Consider the reaction given below.
H2(g) + F2(g)
2 HF(g)
(a) Using thermodynamic data from the course website, calculate
G° at 298 K.
kJ
(b) Calculate G at 298 K...
1. (a) Using cylindrical coordinates, set up an integral to calculate the volume of the region inside the ellipsoid 4.r? + 4y + z2 = 1 and above the plane z = -1/2. We were unable to transcribe this image
For an ideal gas, ∆
=
∆T, and
= (3/2)R. A good first step is to calculate the temperature at
each of the for states numbered 1-4. Summarize the results in a
table and answer this question:
a. Of the following quantities, which are zero for a cyclic
process: U, w, q?
mu processes. Suppose that 0.0500-mole of an ideal monatomic gas undergoes the reversible cyclic process shown below. Calculate w, 9, and AU for each step and for the...
Let S ⊆
be the tetrahedron having vertices (0, 0, 0), (0, 1, 1), (1, 2,
3), and (−1, 0, 1).
Let f :
→
be the function defined by f(x, y, x) = x − 2y + 3z.
Using the change of variables theorem,
rewrite
as an integral over a 3-rectangle, then use Fubini’s theorem to
evaluate the integral.
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image}
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