Given the position function x(t) = t4 - 8t2, find the distance that the particle travels at t = 0 to t = 4.
What is the perimeter of the curve r = 4(1 + sin θ)?
The answer is 32 units. For detailed solution, follow the link by clicking on the figure.
The length of arc on polar plane is given by the formula:
The formula above is derived in two ways. See it here: http://www.mathalino.com/reviewer/integral-calculus/length-arc-polar-pla...
The length of arc in rectangular coordinates is given by the following formulas:
See the derivations here: http://www.mathalino.com/reviewer/integral-calculus/length-arc-xy-plane-...
Chords AB and AC are drawn on a circle of radius 10 inches. Find the angle between the chords if the arc BAC is 28 inches long.
A circle of radius r rolls along a horizontal line without skidding.
Locate the centroid of the bent wire shown in Fig. P-717. The wire is homogeneous and of uniform cross-section.
The total surface area of the sphere is four times the area of great circle. To know more about great circle, see properties of a sphere. Given the radius r of the sphere, the total surface area is