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Mathematics: Post your doubts here!

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Hey everyone,
Does any one have a copy of the formula sheet which is given in maths??
thanks
 
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How can we find out the value of domain for which the inverse of the function is maximum? :/
 
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just find the dy/dx of the eq. it will be as follows:
9x^2 -12x + 4 = dy/dx
now use completing square .

it will be like

3(3x -2 )^2 -4 + 4 = y this resembles the eq. of curve i.e y = mx + C


here m = (3x - 2)^2 having squre on it proves that it can never be negative :) I am not sure that I have explained good enough but it is somehow this way.
Thanks Alot! :)
 
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Please help with this question!!
3. Calculate the number of four digit even number can be formed from the digits 3, 4, 5,6 and 9 without repetitions
Apparently the answer is 72???
 
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Please help with this question!!
3. Calculate the number of four digit even number can be formed from the digits 3, 4, 5,6 and 9 without repetitions
Apparently the answer is 72???

The last digit of this even number can be either 4 or 6, ie there are two choices for the last digit.

Once the last digit is selected, you have 3 remaining front digits, and 4 unique numbers to choose from.

For this, there are 4C3*3!=4*6=24 ways

Hence, total number of ways =24*2 =48 ways (shown)

Pretty positive 72 is incorrect.

Hope this helps. Peace.
 
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tan (pi -x) = -tanx =-k

tan(pi/2 -x ) = cot x =1/tanx =1/k

To find sinx, try drawing out a right angled triangle. Label the opposite side as k and the adjacent side as 1 such that tanx =k

Then sin x =opposite side/ hypotenus side = k/ sqrt (k^2 +1) (shown)

Hope this helps. Peace.
 
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