Mathematics Logic & Set Applications, Mathematics

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Compounding and Simple Interest, A painting was purchased 11 years ago for ...

A painting was purchased 11 years ago for $26900. It has just been sold for $78000. Calculate the flat rate of appreciation p.a.

Find the value a2 + ß2 and (a - ß)2, If  α,β are the zeros of the polynom...

If  α,β are the zeros of the polynomial 2x 2 - 4x + 5 find the value of a) α 2 + β 2   b) (α - β) 2 . Ans : p (x) = 2 x 2 - 4 x + 5           (Ans: a) -1 , b) -6) α + β =

Determine the angle of depression to a ship, From the top of a 200 m lighth...

From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?

The service was wonderful how much is a 20% tip, Melisa and Jennifer threw ...

Melisa and Jennifer threw a fiftieth birthday party for their father at a local restaurant. While the bill came, Melisa added a 15% tip of $42. Jennifer said in which the service w

Time and Work, A and B can finish a piece of work in 16 days and 12 days re...

A and B can finish a piece of work in 16 days and 12 days respectively.A started a work and worked at it for 2 days.He was then joined by B.Find the total time taken to finish the

Series solutions to differential equation, Before we find into finding seri...

Before we find into finding series solutions to differential equations we require determining when we can get series solutions to differential equations. Therefore, let's start wit

Vector, with t =[a b c] construct a matrix A = 1 1 1 ...

with t =[a b c] construct a matrix A = 1 1 1 a b c a^2 b^2 c^2 a^3 b^3 c^3 using vector operations

Polynomials, On dividing p(X)=5x^(4)-4x^(3)+3x^(2)-2x+1 by g(x)=x^(2)+2 if ...

On dividing p(X)=5x^(4)-4x^(3)+3x^(2)-2x+1 by g(x)=x^(2)+2 if q(x)=ax^(2)+bx+c, find a,b and c.

Solve sin (3t ) = 2 trig function, Solve sin (3t ) = 2 . Solution T...

Solve sin (3t ) = 2 . Solution This example is designed to remind you of certain properties about sine and cosine.  Recall that -1 ≤ sin (θ ) ≤ 1 and -1 ≤ cos(θ ) ≤ 1 .  Th

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