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If there are (2n+1)terms in an AP ,prove that the ratio of the sum of odd terms and the sum of even terms is (n+1):n Ans: Let a, d be the I term & Cd of the AP. ∴ ak =
A box contains 12 balls out of which x are black .if one ball is drawn at random from the box what is the probability that it will be a black ball ? If 6 more black balls are pu
From a point P, two tangents PA are drawn to a circle with center O.If OP=diameter of the circle show that triangle APB is equilateral. Ans: PA=PB (length of tangents
Equations of Lines In this part we need to take a view at the equation of a line in R 3 . As we saw in the earlier section the equation y = mx+b does not explain a line in R
Applications of Integrals In this part we're going to come across at some of the applications of integration. It should be noted also that these kinds of applications are illu
Vector Arithmetic In this part we need to have a brief discussion of vector arithmetic. Addition We will begin with addition of two vectors. Thus, given the vectors a
we know that derivative of x 2 =2x. now we can write x 2 as x+x+x....(x times) then if we take defferentiation we get 1+1+1+.....(x times) now adding we get x . then which is wro
I have some sample simulation and modeling practice questions using isee Stella software.
1. A psychologist developed a test designed to help predict whether production-line workers in a large industry will perform satisfactorily. A test was administered to all new empl
Demonstrates that f ( x ) = 4 x 5 + x 3 + 7 x - 2 has accurately one real root. Solution From basic Algebra principles we know that since f (x) is a 5 th degree polynomi
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