Let R(x) = ( 2x^2 − 8x + 6 ) / (x^2 + 6x + 8)
a) Find all x such that R(x) is undefined. Find all x such that
R(x) = 0. Evaluate R(0). Graph R(x) indicating all vertical and
horizontal asymptotes and x and y intercepts.
b) Find the intervals on which ( x^2 + 2x + 12 ) / (x − 2) ≥ 2x
+ 5.
1. Solve for the area between x^3 − 6x^2 + 8x − y = 0 and the x
− axis.
2. Solve for the area bounded by y^2 + x − 4 = 0 and the y −
axis.
3. Solve for the area of the arch of the cycloid x = θ − sinθ, y
= 1 − cosθ.
4. Solve for the area bounded by x^2 − 2x − y = 0 and x^2 − 6x +
y...
a) Find the area of the region bounded by the line y = x and the
curve y = 2 - x^2. Include a sketch.
Find the volume of the solid created when rotating the region in
part a) about the line x = 1, in two ways.
For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve