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There's a nice way to show why the expresion for the area of a circle of radius R is:
Pi * R2.
It has an comman relationship with the experation for the circumference of a circle, which is 2 * Pi * R (and that is a consequence of the description of Pi, which is known to be the ratio of the circumference of a circle to its diameter.)
A particle moves along a straight line so that after t secs its distance from fixed point O on the line is given by s=(t-1)^2(t-2).find the distance from O when the velocity is zer
A water sprinkler operates in a circular pattern a distance of 10 ft. Evaluate the circumference of the spray? (π = 3.14) a. 31.4 ft b. 314 ft c. 62.8 ft d. 628 ft
Formulas
A painting was purchased 11 years ago for $26900. It has just been sold for $78000. Calculate the flat rate of appreciation p.a.
a bathroom measure 250 cm by 175 cm calculate the side of the largest square tile that can tile the floor
how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant
Assume that (xn) is a sequence of real numbers and that a, b € R with a is not eaqual to 0. (a) If (x n ) converges to x, show that (|ax n + b|) converges to |ax + b|. (b) Give
Determine if the following series converges or diverges by using limit comparison test. Solution To make use of the limit comparison test we require to find out a seco
A well-known simple model, applicable for analysing boom-bust cycles in agriculture, but extendable to analysing boom-bust cycles in many different areas of economics is the hog cy
how to convert multiple integral into polar form and change the limits of itegration
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