Find the half-range expansions of the given function. To
illustrate the convergence of the cosine and...
Find the half-range expansions of the given function. To
illustrate the convergence of the cosine and sine series, plot
several partial sums of each and comment on the graph (using
words).
1) Find the radius of convergence and interval
of convergence of the given series Σ x^2n/n!
2) Find the power series representation of
f(x)=(x-1)/(x+2) first then find its interval of convergence.
Find the radius of convergence, R, of the series. Find
the interval, I, of convergence of the series. (Enter your
answer using interval notation
∞
(−1)n
(x −
4)n
3n +
1
n = 0
∞
(x −
4)n
n7 + 1
n = 0
∞
7n (x +
5)n
n
n = 1
∞
(x −
13)n
nn
n = 1
∞
4nxn
n2
n = 1
given the demand function, Q=20-2p, find the price
range for which
a) demand is elastic
b) demand is inelastic
c) demand is unit elastic
d) if the firm increases the price to £7, is the total revenue
increasing or reducing?
(a) Find the cosine of the angle between the lines L1 and L2 whose vector equations are given below:
L1 : ~r1(t) = [1, 1, 1] + t[1, 2, 3]
L2 : ~r2(t) = [1, 1, 1] + t[−1, 4, 2].
(b) Find the equation of the plane that contains both L1 and L2.