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Assuming knowledge of differentiation rules and derivatives of trigonometric functions. The graph that would be produced is implicitly drawn by a common independant variable t in these pair of parametric ...

If you are unsure of the number of solutions to an equation, it is always best to start with a diagram. By drawing a diagram then marking out the boundaries specified in the question, it is easy to visual...

formula= fg-integral(f'g)So we have:xln(x)-x+C

The cos(pi/2-x) is equivalent to sinx because the cosx graph is just the sinx graph but shifted to the left by a phase difference of pi/2 radians, and cos(pi/2 - x) is also shifting the cosx graph to the ...

The general equation for a circle is as follows:(x-a)^2+(y-b)^2=r^2where (a,b) are the coordinates of the centre of the circle and r is the radius of the circle.x^2+y^2-4x-8y+11=0In this case, group...