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PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like the crest of a peacock so is mathematics at the head of all knowledge. Example At a certain time in a deer park, t
Prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle. Ans: To prove 3(AB 2
What is the greater of two consecutive negative integers whose product is 132? Let x = the lesser integer and let x + 1 = the greater integer. Because product is a key word for
how can a curve be divided in three equal part?
The height of a parallelogram measures 5 meters more than its base. If the area of the parallelogram is 36 m 2 , what is the height in meters? Let x = the measure of the base a
A round balloon of radius 'a' subtends an angle θ at the eye of the observer while the angle of elevation of its centre is Φ.Prove that the height of the center of the balloon is a
The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar
Five more than the quotient of a number and 2 is at least that number. What is the greatest value of the number? Let x = the number. Notice that quotient is a key word for div
Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s
give me a proper project on share and dividend of minimum 25 pages
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