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Example of integration strategy - integration techniques, Evaluate the subs...

Evaluate the subsequent integral. ∫ (tan x/sec 4 x / sec 4 x)  dx Solution This kind of integral approximately falls into the form given in 3c.  It is a quotient of ta

Steel bar to make a hard surface, Take the carburizing of a steel bar to ma...

Take the carburizing of a steel bar to make a hard surface. To obtain the desired hardness, we require to control the diffusion of carbon into the surface and the phases obtained d

Fractions, A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 h...

A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 hour?

Parallelogram, The base and corresponding altitude of a parallelogram are 1...

The base and corresponding altitude of a parallelogram are 10 cm and 12 cm reap. If the other altitude is 8 cm , find the length of the other pair of parallel side

Some interpretations of the derivative, Some interpretations of the derivat...

Some interpretations of the derivative Example    Is f ( x ) = 2 x 3 + 300 +4 increasing, decreasing or not changing at x = -2 ? Solution:  We already know that the rate

Functions, Question Solve the following functions for x (where x is a r...

Question Solve the following functions for x (where x is a real number). Leave your answers in exact form, that is, do not use a calculator, show all working. (a) 3 x 3 x2 3

Find out the volume of the solid- method of rings, Find out the volume of t...

Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 2x and  y = x about the line y = 4 . Solution: Firstly let's get the bounding region & t

Area of a circle, There's a nice way to show why the expresion for the area...

There's a nice way to show why the expresion for the area of a circle of radius R is: Pi * R 2 . It has an comman relationship with the experation for the circumference of a

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