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To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations ∠E1SE2, can be calculated. (The times are chosen so that ∠E1SE2 is as large as possible, which guarantees that ∠E1SO is 90°.) Alpha Centauri, the star nearest the earth, the measured angle ∠E1SE2 has been found to be 0.000422°. Estimate the distance to this star. (Use 9.3 x 107miles as the distance from the earth to the sun)
Example : Determine the equation of the line which passes through the point (8, 2) and is, parallel to the line given by 10 y+ 3x = -2 Solution In both of parts we are goi
26 + 34=
Solve following x - x e 5 x + 2 = 0 . Solution : The primary step is to factor an x out of both terms. DO NOT DIVIDE AN x FROM BOTH TERMS!!!! Note as well that it i
Evaluate the area and perimeter of a square: Example: Calculate the area and perimeter of a square with a = 5´. Be sure to include units in your answer. Solution:
Simple derivatives Example Differentiate following. (5x 3 - 7 x + 1) 5 ,[ f ( x )] 5 ,[ y ( x )] 5 Solution: Here , with the first function we're being asked to
a triangle is 180
A farmer has a rectangular field of length 100m and breadth 70m. He leaves a path of 1m all along the boundary inside it. He decides to apply a manure to the remaining part of the
Example of Integration by Parts - Integration techniques Illustration1: Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty
(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 ) x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is
can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l =3 l -1 1 l
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