Calculus Answers

Check whether the series sum_(n=1)^(oo)(nx)/(n^(4)+x^(3)) x in 0 alpha is uniformly convergent or not

Determine the set of interior points, exterior points,

accumulation points, isolated points, and boundary

points of the set E = {x : x

2 ≥ 2}.

If the net investment function is given by I (t) = 100e^ {0.1t} calculate

(a) The capital formation from the end of the second year to the end of the fifth year;

(b) The number of years required before the capital stock exceeds $100 000

Find the consumer's surplus at $P = 5$ for the following demand functions:

(a) P=25-2Q,

(b) P= 10/sqrt {Q} 

Find area bounded by f(x) =x^2 and g(x) =x+2

Find the area of the region between the x-axis and the graph of f(x) from a=-1, to b=2, if f (x)=e^2x+3

A particle moves along the space curve r=e-t(cos⁡t i+sin⁡t j+k). Find the magnitude of the veloctiy at any time t.

Select one:

A 5e-1

B 5e-t

C 3e-1

D 3e-t

Evaluate the following limits,if they exist,where [x] is the greatest interger function

a)lim [2x]/x as x approaches 0

b)lim x[1/x] as x approaches 0

If u=x(1-y) and v=xy, then find the value of the Jacobian ∂u,v∂(x,y)

Select one:

A -x

B x2

C -x2

D x