algegra, Mathematics

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what''s the main purpose of algebra in our daily life

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Differentiate outline function in chain rules, Differentiate following. ...

Differentiate following. Solution : It requires the product rule & each derivative in the product rule will need a chain rule application as well. T ′ ( x ) =1/1+(2x) 2

Graph all four vectors on similar axis system, The vector a → =(2,4) compu...

The vector a → =(2,4) compute 3a → , ½ a → and -2a → . Graph all four vectors on similar axis system. Solution: Now here are the three scalar Multiplication 3a → = (6,

Unit normal vector - three dimensional space, Unit Normal Vector - Three Di...

Unit Normal Vector - Three Dimensional Space The unit normal vector is illustrated to be, N (t) = → T' (t) / (|| T → ' (t)||) The unit normal is orthogonal or normal or

Vector function - three dimensional spaces, Vector Function The good wa...

Vector Function The good way to get an idea of what a vector function is and what its graph act like is to look at an instance.  Thus, consider the following vector function.

If tana+sina=m and tana-sina=n, If tanA+sinA=m and tanA-sinA=n, show that m...

If tanA+sinA=m and tanA-sinA=n, show that m 2 -n 2 = 4√mn Ans:    TanA + SinA = m       TanA - SinA = n. m 2 -n 2 =4√mn . m 2 -n 2 = (TanA + SinA) 2 -(TanA - SinA) 2

Differentiate the equation x = x (t ) and y = y (t ) , Suppose that x = x (...

Suppose that x = x (t ) and y = y (t ) and differentiate the following equation with respect to t. Solution                                         x 3 y 6 + e 1- x - cos (5

Vectors, A plane is flying at 200 mph with a heading of 45degrees and encou...

A plane is flying at 200 mph with a heading of 45degrees and encounters a wind mph from the west. What is the velocity and heading?

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