Calculus/Expert Profile

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Recent Answers from Abe Mantell

2012-01-04 Calculus - Comparing Related Rates:

Hello Maria,    In this case, I would solve for R in terms of R1 and R2, then differentiate with respect to t.    Solving for R gives: R=(R1*R2)/(R1+R2), now let R1=10, so R=(10*R2)/(10+R2)    Now differentiate

2011-08-18 integral calculus:

Hello Priyanka,    Using the formula for arclength:  integral sqrt(1+[f'(x)]^2), x from a to b, where f(x)=sqrt(r^2-x^2)  So we will calculate the arclength of the semi-circle given by f(x),  then double

2011-08-17 Mathematical and Physical Constants:

Hello,    I would not add g to the list of mathematical constants.  A mathematical constant IS CONSTANT  everywhere, independent of the environment.  g=9.8066... is the gravitational acceleration on earth

2011-08-14 Induction proof:

1. Proof by Induction: sum(k*2^k, k from 0 to n)  I. Show true for n=0  .. 0*2^0=0 and (0-1)*2^(0+1)+2=-1(2)+2=0 check!  II. Assume true for n=m, m>=0  .. sum(k*2^k, k from 0 to m)=(m-1)*2^(m+1)+2  III

2011-08-11 Calculus:

Hello Brittney,    Q(t)=B-Ae^(-kt) is a standard exponential model  "t" is the independent variable while A, B, and k are constants which  will depend on the initial information for the particular problem