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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 = 13/1 = 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 coordin...

(X 2 -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 : (X 2 -16)/(X-1)(X+3)≡ A + B/(X-1) +C/X+3). By multiplying both sides of this equation by (X...

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 so f...

x = sinhy=> dx/dy = coshycosh 2 y - sinh 2 y = 1=> sqrt(1 + sinh 2 y) = coshythus dx/dy = sqrt(1 + sinh 2 y)and dy/dx = 1/sqrt(1 + sinh 2 y)hence dy/dx = 1/sqrt(1+x 2 )