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Find the modulus and argument of the complex number 1+2i

It is always helpful to start by drawing a diagram with a Real and Imaginary axis then plotting the number (in our case 1+2i) on the diagram and drawing a line from the origin to our point. Remember the modu...
TC
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You are in a vacuum chamber, and you drop a feather and a bowling ball (initially at rest) from a great height. Which will hit the ground first?

The key fact here is in free fall everything accelerates at the same rate. Acceleration is equal to 9.81 m/s 2 (accleration of free fall). This means provided you drop both at the same height, and drop them ...
OT
Answered by Owen T. • Physics tutor
9066 Views

Find the gradient of the curve y = x^2(ln(x)) at x = e

We'll need to use the product rule. Let's take u = x^2 -> du/dx = 2x, and v = ln(x) -> dv/dx = 1/x Then dy/dx = x^2(1/x) + 2xln(x) = x + 2xln(x) Substituting our x value gives (dy/dx)|(x = e) = e + 2el...
CR
Answered by Charlie R. • Maths tutor
7291 Views

Explain why socialists support collectivism.

Socialists tend to support collectivism as they believe that both society and individuals benefit from a cooperative economic system. Socialists argue that humans are best able to fulfil their potential wher...
LP
12110 Views

Using the substitution u=cosx + 1, show that the integral of sinx e^cosx+1 is equal to e(e-1), for the values of x between x=π/2 and x=0

First we differentiate the substitution giving, du/dx=-sinx, which is rearanged to dx=du/-sinx. we can then substitute this into the integral to get sinx e^cosx+1 du/-sinx which can be simplified to -e^cosx+...
KS
Answered by Kieran S. • Physics tutor
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