vector, Mathematics

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Division, why 0 is put in quotient while dividing a number

why 0 is put in quotient while dividing a number

The shortest distance among the line y-x=1 and curve x=y^2, Any point on pa...

Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2

Logarithems , y=x4/4lnx-x4/16 then dy/dx=? Solution) dy/dx=-x^3/4(2/lnx-...

y=x4/4lnx-x4/16 then dy/dx=? Solution) dy/dx=-x^3/4(2/lnx-1)^2.    ^ means power

Algebra function., problem to understand an problem; f(X-2)=X+3 / X-4

problem to understand an problem; f(X-2)=X+3 / X-4

Show that cos12+cos60+cos84=cos24+cos48 , L.H.S. =cos 12+cos 60+cos 84 =c...

L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12   R.H.S =c

Factoring polynomials, Factoring polynomials is probably the most important...

Factoring polynomials is probably the most important topic. We already learn factor of polynomial .If you can't factor the polynomial then you won't be able to even start the probl

Determine the number of blue balls in the bag, A bag contains 5 red balls a...

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , determine the number of blue balls in the bag.

Step functions, Before going to solving differential equations we must see ...

Before going to solving differential equations we must see one more function. Without Laplace transforms this would be much more hard to solve differential equations which involve

prove that 2a=b+c, If the roots of the equation (a-b) x 2 + (b-c) x+ (...

If the roots of the equation (a-b) x 2 + (b-c) x+ (c - a)= 0 are equal. Prove that 2a=b+c. Ans:    (a-b) x 2 + (b-c) x+ (c - a) = 0 T.P 2a = b + c B 2 - 4AC = 0

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