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Calculus/Expert Profile

Abe Mantell

On Vacation
returns 12/24/2009
Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience in the area

Over 15 years teaching at the college level.

Organizations

NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials

B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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Recent Reviews from Users

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    K = Knowledgeability    C = Clarity of Response    T = Timeliness    P = Politeness
UserDateKCTPComments
Warm08/14/0910101010Thanks
Jason07/22/0910101010Thank you
shikhin07/20/0910101010Thanks a lot....got the point.....I .....
Jason07/09/0910101010Thank you very much
Attir07/09/0910101010very nice i really appriciate your fast .....

Recent Answers from Abe Mantell

2009-08-14 Trigonometry show part:

Hello from the US! :-) Use the sum and difference formulas for tangent: tan(30+a)=[tan(30)+tan(a)]/[1-tan(30)tan(a)]=[sqrt(3)+3tan(a)]/[3-sqrt(3)tan(a)] tan(60-a)=[tan(60)-tan(a)]/[1+tan(60)tan(a)]=[sqrt(3)-tan(a)]/[1+sqrt(3)tan(a)]

2009-08-11 Calculus:

Hello, Since (1,6) satisfies y=ax^2+bx+c, we get: 6=a+b+c...since the tangent line at x=1 is horizontal, that means the turning point is at x=1 (and y=6), so we can write the parabola as y=a(x-1)^2

2009-07-21 Maximizing Area:

Since the area of a triangle can be written as: A=(1/2)(a)(b)sin(C), where C is the angle between the two sides. So, the maximum area will be when sin(C) is as large as possible. Thus, C=90 degrees

2009-07-20 3rd Derivative:

1. What is happening to f(x) or f''(x)??? 2. You want to maximize f'''(x)? So, take the derivative of f'''(x), . which is f''''(x)=24, but f''''=24 and is never zero. So the . maximum and minimum

2009-07-16 calculus:

1. y=x^2-2x has vertex at x=-b/(2a)=2/2=1, so x=1 and y=-1 ==> (1,-1) 2. Basically, if you arrange the equation for a parabola in this form: (x-h)^2=4p(y-k) The vertex is (h,k); the focus is (h, k+p)

 

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