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partial fractions
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trigonometry
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implicit
differentiation
differentiation from first principles
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example on chain rule
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example on uvw rule
find dy/dt if y = t exp(-t) [Acost +Bsint] -----------uvw rule
rateof
change
lamppost-shadow problem ------>(
lamppost-shadow problem)
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example on maclaurin's series
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limits
limit of (x^2-49)/(x^2+5x-14) as
x-->( -7) -----> (
limit)
lim [e^(-ax)-e^(-bx)]/x as
x->0 -----> (
limit)
limit (1-cosx) / x² as x-->0 -------
limt using trigonometry
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sequence and series
Let S be
the sum, P the product and R the
sum of reciprocals of n terms in a G.P. Prove that P^2 R^n=
S^n -----> (g.p question)
Express the recurring decimal 0.484848... as a fraction using the
concept of geometric series
(infinite g.p question)
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matrices
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remainder
When a
polynomial p(x) is divided by (x+1), the remainder is 4. And
when it is divided by (x-2), it's remainder is 3. What is the
remainder when p(x) is divided by x²-x-2 -----> (a problem on remainders)
find the quotient and remainder when x³ - 2x ² + 5x - 6
is divided by (x-3) using synthetic division
-----> (a problem on long division)
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problem
on variance
show that var(aX+bY)=a²var(X)+b²var(Y)
, if X and Y are
independent ---------
variance
(
more
problems)
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