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Remember that for a general quadratic equation Ax^2 + Bx + C = 0, the sum of the roots = -B/A and the product of the roots = C/A.In our question, A = 1, B = 7, C = 13.So a + b = -7/1 = -7 and ab = 13/...

Square matrices can be thought of simply as transformation operators—rotation, translation, or shear (distortion). A 2x2 matrix transforms a set of 2D coordinates, a 3x3 matrix translates a set of 3D coor...

(X²-16)/(X-1)(X+3) can be expressed as partial fractions as it is equivalent to A + B/(X-1) + C/(X+3) giving us : (X²-16)/(X-1)(X+3)≡ A + B/(X-1) +C/X+3). By multiplying both sides o...

When studying anything in Mathematics, it is very easy to get lost in the technical details and lose sight of what everything really means on a conceptual level - that's why these kinds of questions are s...

x = sinhy=> dx/dy = coshycosh²y - sinh²y = 1=> sqrt(1 + sinh²y) = coshythus dx/dy = sqrt(1 + sinh²y)and dy/dx = 1/sqrt(1 + sinh²y)hence dy/dx =...