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Sharmistha
Max numbers in a sequence where sum of x consecutive numbers are +ve and sum of y consecutive numbers are -ve?
The answer should be explained with proper logic and example. The final series should have sum of any 900 consecutive numbers positive while the sum of any 1111 consecutive numbers negative. To find out the maximum numbers possible in such a series of numbers.
1 AnswerMathematics7 years agoTo Prove in an acute angled triangle CosC/CosA+CosA/CosB+CosB/CosC>=3?
Similar inequalities have been discussed and resolved in the recent past. But request for working out the proof from basics without references to results of solved exercises in the past.
2 AnswersMathematics8 years agoA frame of 200g is hanging from a coil spring.What is max distance frame moves down under the given conditions?
The coil spring is found to stretch 10cms by the frame. A lump of putty of mass 200 gms is then dropped from rest on to the frame from a height of 30 cms.
Hint: Use energy equations to solve this problem.
1 AnswerPhysics10 years agoIf a coin is tossed twice and first is head and second tail are these mutually exclusve events?
I know this is a fundamental question but got a little confused as head and tail are mutually exclusive if it happens in a single toss. Please help clearing my doubts
1 AnswerMathematics1 decade agoIntegrate the function [cos(n-m)x -cos(n+m)x] dx between the limits -pi and +pi?
Please explain the step sin(n-m)x/(n-m) -pi to +pi and sin(n+m)x/(n+m) -pi to +pi equal to zero in the integration process. is it true for both cases n=m and n not equal m? Why?
1 AnswerMathematics1 decade agoAlice bets on the toss of a coin 6 times wagers half her cash each time & wins half the tosses.Gains/ loses ?
Suppose she starts with 32 $. Also her opponent matches her bets. How much cash did she have at the end? Also how the answer has been arrived at.
1 AnswerMathematics1 decade agoIn a sequence sum of any 5 & 7 consecutive numbers are +ve and -ve respectively.Whats the max nos in sequence?
In a sequence list possibilities of sum of any 5 consecutive numbers to be positive and sum of any 7 consecutive numbers to be negative and then proceed to find out the maximum numbers this sequence may have.
1 AnswerMathematics1 decade agoa^x X b^y X c^z to be maximum when x,y z are in A.P. and a+b+c is a constant number Prove a b c are in AP?
With the above problem can also show the proportionality x/a=y/b=z/c.
Hint: To solve by arithmetic and geomtric mean concepts only without calculus derivatives.
2 AnswersMathematics1 decade ago