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Darian S.
Freshman at Calvin College
Tutor Satisfaction Guarantee
Calculus
TutorMe
Question:

solve $$ \int\mathrm{4x^{3}},\mathrm{d}x $$

Darian S.
Answer:

$$ \int\mathrm{4x}^{3},\mathrm{d}x = x^{4}+C $$

Algebra
TutorMe
Question:

solve $$x^{2} + 4x + 5$$ by completing the square.

Darian S.
Answer:

$$ ( x + 2 + 2^{2} ) + 5+2^{2} $$ $$= (x+2)^{2} +9$$ $$(x+2)^{2}=-9 $$ $$(x+2) =$$ +/- $$ \sqrt{-9} $$ $$ x+2= $$+/- $$ i3 $$ $$ x= -2+i3, -2-i3 $$

Physics
TutorMe
Question:

In the absence of air resistance, which would fall faster: a brick or a feather?

Darian S.
Answer:

Both would fall at the same speed because acceleration due to gravity isn't affected by the weight of the object.

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