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Check the equation is in the form dy/dx + P(x) y=Q(x) (show example) Find the int factor: I(x)=e^{integralP(x) dx}Multiply all terms by the integrating factorMake sure you show this step clearly: ...

We can use the formula for a Volume of Revolution: V =π ∫ (e^x + e^(-x))^2 dx, with limits x = 0, x = ln4.Expanding the brackets: (e^x + e^(-x))^2 = e^2x + 2 + e^(-2x).So: V = π ∫ (e^2x + 2 + e^(-2x)) dx ...

The main thing to consider here is the output of the operation. Vector and scalar products are both operations in which you take two vectors but then get something else. In a scalar product, you get a num...

Step 1) x²+2x+4 = (x+1)²+3Step 2) Minimum point occurs at (-1, 3)
I can use the whiteboard to explain it better.

(I can use the whiteboard for to explain it better)1) Express y = ln(x) as y = ln(x) * 12) Use integration by parts with u = ln(x), v'=(1), u'=1/x, v = xintegral = xln(x) - integral(x*1/x) =xln(x) - integ...