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(x^2+4x+10)/(x+3)(x+4)(x+1) = A/(x+3) + B/(x+4) + C/(x+1) [A(x+4)(x+1) + B(x+3)(x+1) + C(x+3)(x+4)]/(x+3)(x+4)(x+1) = (x^2+4x+10)/(x+3)(x+4)(x+1) [A(x+4)(x+1) + B(x+3)(x+1) + C(x+3)(x+4)] = (x^2+4x+10) A(...

Oxygen diffuses from the air where it is present at a higher concentration and pressure, to the lungs where it is at a lower concentration and pressure - we say it moves 'down' these gradients; high to lo...

Differentiate the equationdy/dx=6x+2x(dy/dx)+2y-4y(dy/dx)Set this equal to zero and solve for dy/dx which gives:dy/dx=(2y+6x)/(4y-2x)For x=2 and y=4 dy/dx=5/3(y-y_o)=m(x-x_o)y-4=(5/3)(...

3x³ /3 + 4x⁶/(6x3) = x³ + 2x⁶/9 + c

The gravitational force between two masses is directly proportional to the product of the two masses and inversely proportional to the square of the distanc...