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Simple derivatives, Simple derivatives Example   Differentiate followin...

Simple derivatives Example   Differentiate following.  (5x 3   - 7 x + 1) 5 ,[ f ( x )] 5 ,[ y ( x )] 5 Solution: Here , with the first function we're being asked to

Polynomials in one variable, Polynomials In this section we will discu...

Polynomials In this section we will discuss about polynomials.  We will begin with polynomials in one variable. Polynomials in one variable Polynomials in one variable

Determine dy & dy if y = cos ( x2 + 1) - x, Determine dy & Δy  if y = cos ...

Determine dy & Δy  if y = cos ( x 2 + 1) - x as x changes from x = 2 to x = 2.03 .  Solution Firstly let's deetrmine actual the change in y, Δy . Δy = cos (( 2.03) 2

Integration-mathematics, Integration Integration is the reversal of di...

Integration Integration is the reversal of differentiation An integral can either be indefinite while it has no numerical value or may definite while have specific numerical v

Rates of change or instantaneous rate of change, Rates of Change or instant...

Rates of Change or instantaneous rate of change ; Now we need to look at is the rate of change problem.  It will turn out to be one of the most significant concepts . We will c

Surface area and volume, a child prepares a poster to save energy on a squa...

a child prepares a poster to save energy on a square sheet whose each side measures 50 cm . At each corner she draws a quadrant of radius 5 cm and the centre of a circle of diamete

Define a*b for given matrix, Define A*B where:                A =  | 3 -...

Define A*B where:                A =  | 3 -3  6 |          B = |  6   1 |                          | 0  4  2 |              |  0  -5 |

Show that x(q-r) + y(r-p) + z(p-q) = 0, If the p th , q th & r th term of...

If the p th , q th & r th term of an AP is x, y and z respectively, show that x(q-r) + y(r-p) + z(p-q) = 0 Ans:    p th term ⇒ x = A + (p-1) D q th term ⇒ y = A + (

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