Evaluate the integral:
.
Hint:
, P.V.= principal value.



Create a Matlab code to solve the two following equations for a pendulum: F = 10 m = 1 ks = 1 (m+M)x'' - ml'' cos + ml'' sin = F -x'' cos + l'' - g sin = 0 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 imageWe were unable to...
Let R be delimited by
and
and S being surface R, outwardly. Now give us the vector field
F(x,y,z)=ij
+
calculate flux integral
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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...
Use the transformation
and
to evaluate the integral
where
is the region bounded on the
by the ellipse
Let S be the image of R under
T on the .
Sketch regions
R and S. Set up the integral as
an iterated integral of a function
over region S. Use technology to evaluate the
integral. Give the exact answer.
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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.
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Find the Q-point of the transistor in the figure below, for
R1=100KOhms, R2=220Kohms, R3=24KOhms, R4=12KOhms and VDD=12V.
Assume that
=1 V, K'=,
=0,=0
and W/L=5/1
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Create a Matlab code using ode45 function to solve the following two equations of a pendulum: m+M)x'' - ml'' cos + ml'' sin = F -x'' cos + l'' - g sin = 0 Force = 10N 5kg pendulum initial angle = 30 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 imageWe...
Use de Moivre's formula to evaluate the power
(cos2+i sin2)-1 in Cartesian form.
Of these multiple choice, which is correct?
A.) cos 2 - i sin 2
B.)
C.)
D.)
E.) cos 2 + i sin 2
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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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Setup the necessary intervals to find the average value of the
function
over the ellipse .
Use technology to evaluate the integral. Give an exact answer. (not
decimal)
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