Calculus Answers

Find the equation for circle with center (1,3) that passes through (4, -1).

Solve the following integrals using partial fraction technique:
∫dy/(y+1)(y-1)

saturn has a diameter of 120 536 000 m. express this diameter in scientific notification

614 - (762 - 96 x (774 - 334)) = ?

for the function (x^3)/(e^(1-x^(2))
(a) Determine all local maxima, minima and all inflection points with their function values.
(b) Are there any vertical asymptotes? Determine the behaviour of f as x approaches infinity and x approaches negative infinity
(c) Determine the x- and the y-intercepts.

for the function (x^3)/(e^(1-x^(2))
(a) Determine the domain D of f.
(b) Is the function even (i.e. f(-x) = f(x) for all x), is it odd (i.e. f(-x) = -f(x) for all x) or neither?
(c) Determine all critical points of f.

for the function (3x-2)/(3x+1)
(a) Determine all local maxima, minima and all inflection points with their function values.
(b) Are there any vertical asymptotes? Determine the behaviour of f as x approaches infinity and x approaches negative infinity
(c) Determine the x- and the y-intercepts.

for the function (3x-2)/(3x+1)
(a) Determine all candidates c E D for inflection points, i.e. those c E D for which f''(c) does not exists or for which f''(c) = 0.
(b) On which intervals is f increasing and on which ones is it decreasing?
(c) On which intervals is f concave up and on which ones is it concave down?

for the function (x+1)/(x^(2)-1), draw a graph of f.