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Question:
If š = ln"|\\vec r|"
, then show that āš = "\\vec r" /š2
Find the Maclaurin series or Taylor series centered at a, interval of
convergence and the radius of convergence of 1
ā1āš„
.
For the Fourier series in Problem 1, deduce a
series for
Ļ
4
at the point where x =
Ļ
2
. Determine the Fourier series for the periodic
function:
f (x) = ā
2
,
when
āĻ <
x
< 0
+
2
,
when 0
< x
< Ļ
which is periodic outside this range of
period 2Ļ.
Evaluate ā« ā« ā« X 2YZ D X D Y D Z Over the Volume Bounded by Planes X=0,Y=0, Z=0 and X + Y + Z = 1
expenditures on radio and TV advertising. The specific function is
2=f(x, y) = 20,000x + 40,000y ā 20x
ing the annual premium for a term life insurance policy. A flat annual fee of $150 is
charged for all policies plus $2.50 for each thousand dollars of the amount of the policy.
For example, a $20,000 policy would cost $150 for the fixed fee plus $50, which corre-
sponds to the face value of the policy. If p equals the annual premium in dollars and x
equals the face value of the policy (stated in thousands of dollars), determine the
function which can be used to compute annual premiums.
Question 2
(a) Given that A ~ = (x + 2y + 4z)Ė
i + (2x - 3y- z)Ėj +(4x-y + 2z)kĖ
(i). Show that the vector field A ~ is irrotational
(ii). Find the scalar potential Ļ such that A~ = āĻ, if Ļ(0, 0, 0) = 1
A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can sell 300 plates but for each Ghc5 she raises the price,10 less plates are sold. A.Draw a table relating 5 different price levels with their corresponding number of plates sold.
B.Use the table to find the slope of the demand
C.Find the equation of the demand fraction.
D.Use your equation to determine the price in Ghc if she sells one plate of food to maximize her revenue
#339914 on Dec 2023