Mathematics - Calculus
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#1 An equation of the line passing through: (3,3) and (3,4) is
(A) x=3
(B) y=3
(C) y = 4x-3 .
#2 Let f(x) = root{x}+2x^3 and g(x) = sin^2 x . (Note that sin^n x = ( sin x)^n . Then the composition f(g(x)) is
(A) ( root{x}+2x^3) * sin^2 x
(B) | sin x|+2 sin^6 x
(C) none of the above.
#3 Let f(x) = 1/2x^2 . The fraction [f(a+h)-f(a)]/h is
(A) [1/2x^2(a+h) - 1/2x^2(h)]/h
(B) a+ 1/2h
(C) none of the above.
I am attaching file as well for clear problems
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(1) Option (A) is the answer because both points have the same x- coordinate, x = ...
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