equation, Mathematics

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Find the radii of the two circles , The sum of the diameters of two circle...

The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles  (Ans: 77, 63) Ans:    d 1 + d 2 = 2.8 m=

Polar coordinates - parametric equations & polar coordinates, Polar Coordin...

Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system.  Though, as we will see, this is not all time the easie

Properties of dot product - proof, Properties of Dot Product - proof P...

Properties of Dot Product - proof Proof of: If v → • v → = 0 then v → = 0 → This is a pretty simple proof.  Let us start with v → = (v1 , v2 ,.... , vn) a

Example of inverse matrix, Determine the inverse of the following matrix, i...

Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix.  It is, We

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Y=Theea[sin(inTheeta)+cos(inTheeta)], Y=θ[SIN(INθ)+COS(INθ)],THEN FIND dy÷d...

Y=θ[SIN(INθ)+COS(INθ)],THEN FIND dy÷dθ. Solution)  Y=θ[SIN(INθ)+COS(INθ)] applying u.v rule then dy÷dθ={[ SIN(INθ)+COS(INθ) ] dθ÷dθ }+ {θ[ d÷dθ{SIN(INθ)+COS(INθ) ] }    => SI

Derivatives to physical systems, Derivatives to Physical Systems: A st...

Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p

Profit, A wholesaler allows a discount of 20% on the list price to a retail...

A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price.If a customer paid Rs 114 for an article,what profit is m

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

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