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integral from 0 to pi of dx/(a+b*cos(x)
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
The length of Kara's rectangular patio can be expressed as 2x - 1 and the width can be expressed as x + 6. In the terms of x, what is the area of her patio? Since the area of a
ABC is a right-angled isosceles triangle, right-angled at B. AP, the bisector of ∠BAC, intersects BC at P. Prove that AC 2 = AP 2 + 2(1+√2)BP 2 Ans: AC = √2AB (Sinc
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Q. Scaling and translation for equations? Ans. If you have an equation in the form y= f(x) (if you're not familiar with functions, that just means having "y" on the left s
The population of the village is 5000. If in a year, the number of males were to increase by 5% and that of a female by 3% annually, the population would grow to 5202 at the end o
how much is 6x12
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QUESTION (a) Draw a graph model with the following adjacency matrix. (b) The diagram below shows different cities labelled a to g and z. Also sh
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