Questions from General Calculus

Q: (a). Eliminate the parameter to find a Cartesian equation of

(a). Eliminate the parameter to find a Cartesian equation of the curve. (b). Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Q: (a). Eliminate the parameter to find a Cartesian equation of

(a). Eliminate the parameter to find a Cartesian equation of the curve. (b). Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Q: (a). Eliminate the parameter to find a Cartesian equation of

(a). Eliminate the parameter to find a Cartesian equation of the curve. (b). Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Q: (a). Eliminate the parameter to find a Cartesian equation of

(a). Eliminate the parameter to find a Cartesian equation of the curve. (b). Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Q: If g (x) = 3 + x + ex,

If g (x) = 3 + x + ex, find g-1(4).

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.

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.

Q: Make a rough sketch of the graph of the function. Do

Make a rough sketch of the graph of the function. Do not use a calculator. Just use the graphs given in Figures 3 and 13 and, if necessary, the transformations of Section 1.3. Figures 3: Figures 13...

Q: In the theory of relativity, the mass of a particle with

In the theory of relativity, the mass of a particle with speed v is where m0 is the rest mass of the particle and is the speed of light in a vacuum. Find the inverse function of f and explain its me...

Q: Suppose a curve is given by the parametric equations x = f

Suppose a curve is given by the parametric equations x = f (t), y = g (t), where the range of f is [1,4] and the range of g is [2, 3]. What can you say about the curve?