Calculus Answers

calculate cash flow.
particulars.............................................2015.................................2016
profit made during the year................... 0......................................250000
income received in advanced.................500.................................600
prepaid expense.....................................1600..................................1400
debtors................................................80000..................................95000
bills receivable....................................25000...................................20000
creditor................................................45000..................................40000
bills payable........................................13000..................................15000
outstanding expenses..........................2500....................................2000
accrued income...................................1500.....................................1200

Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 4(x + 7)2(x - 7)3

4, multiplicity 1; -7, multiplicity 3; 7, multiplicity 3
-7, multiplicity 3; 7, multiplicity 2
4, multiplicity 1; 7, multiplicity 1; -7, multiplicity 1
-7, multiplicity 2; 7, multiplicity 3

Determine maximum value of y if y=100/x+4x

If f(x)=ax^n implies if f'(x)

Find the local Maxima and local minima of t + cos t

Find the directional derivative of x2yz+4xz2 at (1,2,1) in the direction vector 2i-j-2k.

What are the equations for the asymptotes of this hyperbola? y^2/36-x^2/121=1

Find all the maxima and minima of the
function f given by
f(x)= integration of [3(t-2)(t-3)^3 + 2(t-2)^2 (t-3)^2] dt. In the limit 2 to x

Find the number c guaranteed by the mean value theorem for derivatives for f(x)=(x+1)^3, [-1,1]

Evaluate the d^3f/dx^3 of f(x)=sin(x)cos(x)