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Theory of equations, If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(...

If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=

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Find out the volume of the solid -x = (y - 2)2, Find out the volume of th...

Find out the volume of the solid obtained by rotating the region bounded by x =  (y - 2) 2 and  y = x around the line y = -1. Solution : We have to first get the intersection

Find out the surface area of the solid, Find out the surface area of the so...

Find out the surface area of the solid acquired by rotating y = √ (9-x 2 ), - 2 x 2 about the x-axis. Solution The formula that we'll be using here is, S = ∫ 2Πyds

Laplace transforms, As we saw in the previous section computing Laplace tra...

As we saw in the previous section computing Laplace transforms directly can be quite complex. Generally we just utilize a table of transforms when actually calculating Laplace tran

Chain rule, Chain Rule :   If f(x) and g(x) are both differentiable func...

Chain Rule :   If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x).  Proof We will s

Solve the radical form, Simplify following. Suppose that x, y, & z are posi...

Simplify following. Suppose that x, y, & z are positive.                      √ y 7 Solution In this case the exponent (7) is larger than the index (2) and thus the fir

Alegrabra, how do you do algebra with division

how do you do algebra with division

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