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A parametric equation is where both x and y are expressed separately, in terms of a parameter (t). In order to differentiate them we must use the chain rule, which here would be dy/dx= dy/dt ÷ dx/dt. The ...

First we take the derivative of the function, this gives us dy/dx = cos(x)
Now we work out the different x values for y = 0 and y = 1.
sin(x) = 0 => x = 0, sin(x) = 1 => x = pi/2 (90 degre...

16=2(x+3)+(x+4)16=2x+6+x+46=3xx=2 - Therefore the base has length 6
a=6y/2 - where y is the perpendicular heighty^2=5^2-3^2y^2=25-9y^2=16y=4
Therefore a=(6*4)/2 a=12 cm^2

Substitute y = 5x + 2 into 8x + 7y = 11 to get, 8x + 7(5x + 2) = 11This simplifies down to 8x + 35x + 14 = 11And further simplifies to 43x = -3 giving the solution x = -3/43Substituting the x solution bac...

= xlnx - the integral 1/x X x with respect to x= xlnx - the integral of 1 with respect to x= xlnx - x + c