Find a general term (as a function of the variable n) for the
sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}.
Find a...
Find a general term (as a function of the variable n) for the
sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}.
Find a general term (as a function of the variable n) for the
sequence {?1,?2,?3,?4,…}={4/5,16/25,64/125,256/625,…}
an=
Determine whether the sequence is divergent or convergent. If
it is convergent, evaluate its limit.
(If it diverges to infinity, state your answer as inf . If it
diverges to negative infinity, state your answer as -inf . If it
diverges without being infinity or negative infinity, state your
answer...
Set up integrals for both orders of integration. Use the more
convenient order to evaluate the...
Set up integrals for both orders of integration. Use the more
convenient order to evaluate the integral over the plane region
R.
R
4xy dA
R: rectangle with vertices (0, 0), (0, 3), (2, 3), (2, 0)
6)Determine the following limits, using ∞ or −∞ when
appropriate, or state that they do not...
6)Determine the following limits, using ∞ or −∞ when
appropriate, or state that they do not exist.
(1) lim x->4+ 4/x-4
(2) lim x->4- 4/x-4
(3) lim x-> 4/x-4
7)Evaluate limx→∞ f(x) and limx→−∞ f(x) for the following
function. Use ∞ or −∞ when appropriate. Then give the horizontal
asymptote(s) of f (if any).
f(x)= x3+8/4x3+sqrt 64x6+4
1.express dw/dt as a function of t, both by using the Chain Rule
and by expressing...
1.express dw/dt as a function of t, both by using the Chain Rule
and by expressing w in terms of t and differentiating directly with
respect to t. Then evaluate dw/dt at the given value of t.
a)w= -6x^2-10x^2 , x=cos t,y=sint, t=pi/4
b)w=4x^2y-4y^2x, x=cost y=sint, --> express n terms of t
2.Find the linearization L(x,y) of the function (x,y)=e^x
cos(9y) at points (0,0) and (0,pi/2)
Determine the optimal quantities of both x1 and
x2 for each utility function. The price of...
Determine the optimal quantities of both x1 and
x2 for each utility function. The price of good 1
(p1) is $2. The price of good 2 (p2) is $1.
Income (m) is $10.
a.) U(x1,x2) =
min{2x1, 7x2}
b.) U(x1,x2) =
9x1+4x2
c.) U(x1,x2) =
2x11/2 x21/3
Please show all your work.