Questions from General Calculus


Q: Solve the inequality ln (x2 – 2x - 2) <

Solve the inequality ln (x2 – 2x - 2) < 0.

See Answer

Q: If f0 (x) = x2 and fn+1 (

If f0 (x) = x2 and fn+1 (x) = f0 (fn (x)) for n = 0, 1, 2, …, find a formula for fn (x).

See Answer

Q: The altitude perpendicular to the hypotenuse of a right triangle is 12

The altitude perpendicular to the hypotenuse of a right triangle is 12 cm. Express the length of the hypotenuse as a function of the perimeter.

See Answer

Q: Sketch the graph of the function f (x) = |

Sketch the graph of the function f (x) = |x2 – 4| x| + 3|.

See Answer

Q: Sketch the graph of the function g (x) = |

Sketch the graph of the function g (x) = |x2 – 1| - |x2 – 4|.

See Answer

Q: Describe the motion of a particle with position (x, y

Describe the motion of a particle with position (x, y) as varies in the given interval.

See Answer

Q: Draw the graph of the equation x4 – 4x2 – x2y2 +

Draw the graph of the equation x4 – 4x2 – x2y2 + 4y2 = 0.

See Answer

Q: A hypocycloid is a curve traced out by a fixed point P

A hypocycloid is a curve traced out by a fixed point P on a circle C of radius b as C rolls on the inside of a circle with center O and radius a. Show that if the initial position of P is (a, 0) and t...

See Answer

Q: Sketch the curve by using the parametric equations to plot points.

Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as increases.

See Answer

Q: Sketch the curve by using the parametric equations to plot points.

Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as increases.

See Answer