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Dhriti R.

Teaching assistant for maths for a year

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R Programming

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Question:

How to input a sequence of numbers without entering them manually?

Dhriti R.

Answer:

x = seq(from=0, to =100, by=1) Ouput x = [ 0 1 2 3 4 5 6 .............100]

Calculus

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Question:

How to minimize the perimeter of a rectangle when the area is constant? Let area = 225

Dhriti R.

Answer:

Perimeter is equal to x+y+x+y = 2(x+y) where x and y are the sides GIven xy = 225, this implies y = 225/x perimeter = 2(x+y) = 2(x+225/x) To minimize this we need to differentiate and equate to 0 ==> 2( 1 - 225/$$x^2$$) = 0 ==> $$x^2$$ = 225 ==> x = 15 ==> y = 225/x = 15 perimeter = 2(15+15) = 60

Electrical Engineering

TutorMe

Question:

Convert 1100 0010 to hex

Dhriti R.

Answer:

While converting from binary to hex one should combine 4 digits starting from the LSB In this case, 1100 = 8 + 4 + 0 + 0 = 12 = C 0010= 0+ 0+ 2 + 0 = 2 1100 0010 = C2 in hex

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