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Applications of derivatives : At last, let's not forget about our applications of derivatives. Example Assume that the amount of air in a balloon at any time t is specified
Patrick has a rectangular patio whose length is 5 m less than the diagonal and a width which is 7 m less than the diagonal. If the field of his patio is 195 m 2 , what is the lengt
Multiply following and write the answers in standard form. (a) 7 i ( -5 + 2 i ) (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu
Price?
Determine if the following sequences converge or diverge. If the sequence converges find out its limit. a. {3n 2 - 1 / 10n + 5n 2 } ∞ n =2 b. {e 2n / n} ∞ n =1 c
The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC? a. 120° b. 135° c. 108° d. 144° a. The measure of an angle of a regula
A 'woman was trying to teach her three-year-old child the numbers from 1to 5 from a children's book on numbers. Each number was illustrated by the same number of trees drawn next t
Q. Describe the Laws of Sines? Ans. Up to now we have dealt exclusively with right triangles. The Law of Sines and the Law of Cosines are used to solve oblique triangles
Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm
If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.
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