**Q:** A machinist is required to manufacture a circular metal disk with area

A machinist is required to manufacture a circular metal disk with area 1000cm2. (a). What radius produces such a disk? (b). If the machinist is allowed an error tolerance of ±5 cm2 in the area of the...

See Answer**Q:** Show that the curve r = sin θ tan θ (called

Show that the curve r = sin θ tan θ (called a cissoid of Diocles) has the line x = 1 as a vertical asymptote. Show also that the curve lies entirely within the vertical strip 0 < x < 1. Use these fact...

See Answer**Q:** Show that the polar curve r = 4 + 2 sec θ

Show that the polar curve r = 4 + 2 sec θ (called a conchoid) has the line x = 2 as a vertical asymptote by showing that limr→±∞ x = 2. Use this fact to help sketch the conchoid.

See Answer**Q:** The figure shows a graph of r as a function of θ

The figure shows a graph of r as a function of θ in Cartesian coordinates. Use it to sketch the corresponding polar curve.

See Answer**Q:** The figure shows a graph of r as a function of θ

The figure shows a graph of r as a function of θ in Cartesian coordinates. Use it to sketch the corresponding polar curve.

See Answer**Q:** Sketch the curve with the given polar equation.
r =

Sketch the curve with the given polar equation. r = 1 + 2 cos (θ/2)

See Answer**Q:** Sketch the curve with the given polar equation.
r =

Sketch the curve with the given polar equation. r = 1 + 2 cos 2θ

See Answer**Q:** Use a calculator to find the length of the curve correct to

Use a calculator to find the length of the curve correct to four decimal places.

See Answer**Q:** Use a calculator to find the length of the curve correct to

Use a calculator to find the length of the curve correct to four decimal places.

See Answer**Q:** Find the exact length of the polar curve.
r =

Find the exact length of the polar curve. r = θ, o < θ < 2π

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