Math Lessons, Mathematics

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Exponential functions, The exponential functions are useful for descr...

The exponential functions are useful for describing compound interest and growth. The exponential function is defined as:          y = m. a x where '

Advantages and disadvantages of decision trees, Advantages of decision tree...

Advantages of decision trees 1. This clearly brings out implicit calculations and assumptions for all to see question and revise 2. This is simple to understand Disadvan

Sketch the graph of the derivative of this function f '( x), Below is the s...

Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib

Computation of covariance - grouped data, Grouped Data          ...

Grouped Data          For grouped data of a paired population            where,                      f is the

Simple equations, three times the first of the three consecutive odd intege...

three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.

Find the normal to any point on the surface of convex lenses, Draw a tangen...

Draw a tangent on the lens where you want to find normal .Then line perpendicular to tangent gives normal at that point.

Integration, find the area bounded by the curve y=5x^2-4x+3 from the limit ...

find the area bounded by the curve y=5x^2-4x+3 from the limit x=0 to x=5

complex number z, For complex number z, the minimum value of |z| + |z - co...

For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia ,  f

Maxima and minima, Maxima and Minima We have to make a distinctio...

Maxima and Minima We have to make a distinction between relative maxima (or minima) and global maxima (or minima). Let f(x) be a function of x. Then the global maxi

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