Questions from General Calculus

Q: (a). Show that if the - and -intercepts of

(a). Show that if the - and -intercepts of a line are nonzero numbers a and b, then the equation of the line can be put in the form x/a + y/b = 1 This equation is called the two-intercept form of an e...

Q: Rewrite the expression without using the absolute value symbol. |

Rewrite the expression without using the absolute value symbol. |5 – 23|

Q: Find the focus and directrix of the parabola y = x2.

Find the focus and directrix of the parabola y = x2. Illustrate with a diagram.

Q: Rewrite the expression without using the absolute value symbol. |

Rewrite the expression without using the absolute value symbol. |1 - 2x2|

Q: Use a graph to find a number δ such that if

Use a graph to find a number δ such that if

Q: (a). Use a computer algebra system to find the partial

(a). Use a computer algebra system to find the partial fraction decomposition of the function (b). Use part (a) to find ff (x) dx (by hand) and compare with the result of using the CAS to integrate...

Q: Find the foci of the ellipse x2 + 4y2 = 4 and

Find the foci of the ellipse x2 + 4y2 = 4 and sketch its graph.

Q: Use a graph to find a number δ such that if

Use a graph to find a number δ such that if

Q: A circle has radius 1.5 m. What angle is

A circle has radius 1.5 m. What angle is subtended at the center of the circle by an arc 1 m long?

Q: Find the radius of a circular sector with angle 3π/4

Find the radius of a circular sector with angle 3π/4 and arc length 6 cm.