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SOME TYPICAL CALCULUS PROBLEMS:

Draw:          Click here for the graph

Find      Click here

Find the derivative           Click here

Find the slope of tangent to the curve at x = 0                Click here
 

Second derivative in implicit differentiation,      click here to see.
Given that    find f "(3)       Click
here for solution

Derivative of a logarithmic equation,      click here for solution
Composite Function

Given:   f (x) = x + 4,   g (x) = (x - 2)2,     f (g (u (x))) = 4x2 - 8x + 8    Find       u (x) = ?     Click here

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MATH PROBLEMS:

The tangent at point A (4, 16) to the curve defined by  is extended to cut the x-axis at B and the y-axis at C.  Determine the area of ΔOBC where O is the origin.

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Click here     Factor:  9 x2 - 25 y2 + 10 y - 1
 


Given a function g(x) such that g(x2 + 2) = x4 + 5x2 + 3, determine g(x2 + 1)

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Click here     Write y = tan 6x in the form of tan x
 


Click here     Calculate:    sin 112.5 = ?
 


A right triangle has an area of 25 cm2.  Express the hypotenuse, b, of this triangle as a function of its perimeter, p.

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Determine the product of all values of k for which the polynomial equation

2x3 - 9x2 + 12x – k = 0   has a double root.

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Solve and Graph:   Click here for solution


 


For more absolute value inequality problems click here
 


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QUESTION:

In a geometric sequence, t1 + t2 + t3 = 21 and t3 + t4 + t5 = 84, find the first five terms.

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QUESTION:

In an arithmetic series having the first term 3, and common difference not equal to zero, the 2nd and the 7th, and 22nd terms are the first three terms in a geometric sequence.

a) Determine the first four terms of the geometric sequence.

b) What tem in the arithmetic sequence is the forth term in the geometric sequence?

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QUESTION:

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QUESTION:

What is the last digit of 20022002?

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VECTOR PROOF:  Prove that (a x b) x a is perpendicular to a

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