Calculus Answers

find the function of x

f(x) = x^2 + 3x / 2x^2 + 6x + 4

For y= 3x/2e^(x) + e^(-x) use graphing techniques to find the approximate intervals on which the function is

A)Increasing

B)Decreasing

C)concave up

D)concave down

E) find local extreme values

F)Find inflection points

For y= x^(4)-72x^(2)-17 use analytic methods to find the exact intervals on which the function is..

A)increasing

B)decreasing

C)concave up

D)concave down

E)find the local extreme values

F)find the inflection points

Derivative: g[sup](1)[/sup]= 3x[sup]2[/sup]-4x+1 and graph of g passes through point P(2,3). Find g(x).

You are planning to make an open rectangular box from a 12 by 14 cm piece of cardboard by cutting congruent squares from the corners and folding up the sides.

A) what are the dimensions of the box of largest volume you can make this way?

B) what is the volume?

I am having some problems in choosing the appropriate functions for:
a) y = x^8
b) y = 4 t^6 + t^4 - Pie
Options are:
power function, root function, polynomial function, rational function, algebraic function, trigonometric function, exponential function, logarathmic function.... Waiting for the quick reply...

A 12-ounce soft drink can has volume 21.66 cubic inches. If the top and botton are twice as thick as the sides, find the dimensions (radius and height) that minimize the ammount of metal used in the can.

Determine whether the following series converge or diverge. Show why.

∞
Σ [(-1)^n]/(2n+1)
n=1

determine whether the following serie converge or diverge. Explain why. If the series is a convergent geometric serie, give its sum.
∞
Σ 1/n sqrt(ln n)
n=2

For the following power series, give its radius of convergence R and its interval of convergence
∞
Σ 1/3^n(x-2)^n
n=1