Given that
and
,
is a constant
a) Find
and
b) Find
. Hint. You have to integrate.
Question
Equation is given

Now We integrate this equation and putting Value of, f then equation will become the only function of temperature and volume and take partial derivation of this equation with respect to V taking temperature is constant and vice versa.


Given that and , is a constant a) Find and b) Find . Hint. You have...
Find the Taylor Series for the following functions at the given basepoint, and find where the series converges. None of these require making a big table (i.e. doing it the hard way)! , based at 0. (Hint: start with , replace with , then integrate term-by-term.) We were unable to transcribe this image1- We were unable to transcribe this imager2 1- r2
Find the inverse (unilateral) Laplace transforms of the
following functions:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
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Let V be a Hilbert space. Let S1 and S2 be two hyperplanes in V defined by Let be given. We consider the projection of y onto , i.e., the solution of (1) (a) Prove that is a plane, i.e., if , then for any . (b) Prove that z is a solution of (1) if and only if and (2) (c) Find an explicit solution of (1). ( d) Prove the solution found in part (c) is unique. We...
Let
and D be the square given by
Find the absolute minimum of
on D.
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Given two independent random variables
and
and a function
and given that
, does the following inequality hold?
I have tried doing it this way.
Now, because
and
are independent,
Is my approach correct?
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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...
Find a solution to ; when is a constant - Determine the radius of convergence - What happens when changes We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Let A, B be events such that P(A) = 1/3 , P(B) = 1/4 , and P(AB) = 1/6. Find the following and write in words what events a)-d). Example: AB' means that either A occurs or B does not occur. HINT: draw a diagram. a) P(A' B') b) P(A' B) c) P(A' u B) d) P(A' B') We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
Find a polynomial p(x) of degree 2 that satisfies , , and where a, b, c are given constants and are two different points. Thank you! We were unable to transcribe this imagep(m) = a We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
a particle of mass m is given velocity on rough horizontal surface Coefficient of friction is there is also variable external force acts on particle given by F=kV where K is constant & V is instaneous velocity direction of force at any instant is perpendicular to velocity the particle moves in an instaneous circular path of variable radius then time taken by particle to stop is time taken to reduce the angle between acceleration and velocity from to is Total...