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The sides of a triangle are x^(2 )+x+1, 2x+1,x^2-1, prove that the largest angle is 120 degrees, and find range of x. Ans) The biggest side is x^(2) + x + 1so findout the angle opposite to that byCos(A) = (b^2 + c^2-a^2)/2*b*cwhich gives Cos(A) = -1/2 ie 120degress
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a rectangular field with a path around it measures 120m by 50m.if the path is 1m wide all around,(a)find the length of the outer edge of the path.(b)find the area of the path
Theorem If {a n } is bounded and monotonic then { a n } is convergent. Be cautious to not misuse this theorem. It does not state that if a sequence is not bounded and/or
What is a lattice? Which of the following graphs are lattice and why? Ans: Let (L, ≤) be a poset. If each subset {x, y} consisting of any two elements of L, comprises a glb (I
Hyperboloid of One Sheet The equation which is given here is the equation of a hyperboloid of one sheet. x 2 /a 2 + y 2 /b 2 - z 2 /c 2 = 1 Here is a diagram of a com
I need help solving principal equations where interest,rate,and time are given.
how do you multiply fractions
What is Modulo Arithmetic and what is an easy way to remember it?
Two trains leave the same city at the same time, one going east and the other going west. If one train is traveling at 65 mph and the other at 72 mph, how many hours will it take f
Find a power series representation for the subsequent function and find out its interval of convergence. g (x) = 1/1+x 3 Solution What we require to do here is to rela
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