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The population of a city is observed as growing exponentially according to the function P(t) = P0ekt, where the population doubled in the first 50 years.
(a) Find k to three decimal places.
(b) By what factor (to two decimal places) will the original population have grown in the first 125 years?
(c) When will the original size of the population have grown by a factor of ten?
chapter permutation & combination ex :4.6
what is x(5x4)=26?
Find out a series solution for the following differential equation about x 0 = 0 y′′ + y = 0. Solution Note that in this case p(x)=1 and therefore every point is an or
Question: Consider a digraph D on 5 nodes, named x0, x1,.., x4, such that its adjacency matrix contains 1's in all the elements above the diagonal A[0,0], A[1,1], A[2,2],.., e
A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate
A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori
1/cos(x-a)cos(x-b)
Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v
TRIGONOMETRY : "The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth." Example:
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