addition, Mathematics

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Example of factoring quadratic polynomials, Factor following polynomials. ...

Factor following polynomials.                               x 2 + 2x -15 Solution x 2 +2x -15 Okay since the first term is x 2 we know that the factoring has to ta

Pair of straight line, The equation ax2 + 2hxy + by2 =0 represents a pair o...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

Find the value of p and q for which the system of equations, Find the value...

Find the value of p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1 Ans: a 1  = 2, b 1 = 3, c 1 = 7 a 2  =

Method of reduction of order, Consider the equation x 2 y′′+ xy′- y = 4x...

Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second

Abstract algebra, Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(...

Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(y^-1) x}) a) Which of the following subsets are subgroups of D(subscript12) ? Justify your answer. i) {x,y,xy,y^2,y^3,e}

Evaluate the circumference of the spray, A water sprinkler operates in a ci...

A water sprinkler operates in a circular pattern a distance of 10 ft. Evaluate the circumference of the spray? (π = 3.14) a. 31.4 ft b. 314 ft c. 62.8 ft d. 628 ft

Solid, The lateral edge of a pyramidal church spire is 61feet.Each side of ...

The lateral edge of a pyramidal church spire is 61feet.Each side of its octagonal base is 22feet. What will be the cost of painting the spire at 2.5 cents a square foot

Find third order partial derivatives, Question: Find all third order pa...

Question: Find all third order partial derivatives for the function   F(x,y)= log xy+ e (x+y) -x/y.

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