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Answer: 16x/(x - 2)

Start with the numerator of the first fraction, 16x² + 4x³ , take a factor of 4x² out to get 4x²(4 + x). Then look at the denominator...

Well yes! Say you're given an equation of y=f(x), you begin by sketching the graph if plotting it is not part of the question, the reason you do this is to get an idea of what the graph looks like (turnin...

(x^3)/3  + C

5sin(x)-3cos(x)=2

Express in the form Rsin(x-@) = Rsin(x)cos@ - Rcos(x)sin@

Rcos@ =5

Rsin@ = 3    

tan@ = 3/5           @=tan^-1(3/5)= 0.540

R = sqrt(5^{2 <...}

Tackle this problem one part at a time: First differentiate 2x²y using the product rule, showing dy/dx(2x²y) = 4xy + 2x²(dy/dx). After this, the remainder of the question ...