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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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How are the cells lining the small intestine adapted to their function?

The purpose of the small intestine is to absorb nutrients from the food we eat. In order to achieve this the cells of the small intestine have adaptations to increase their ability to absorb. The cells that ...
AS
35246 Views

Expand and simplify (x+2)(x+3)

Use the FOIL method to remember which components you need to multiply together. F = F irst two, O = O utside two, I = I nside two, L = L ast two. Then add your answers together and collect like terms to simp...
NS
Answered by Natasha S. • Maths tutor
57988 Views

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
8751 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
7144 Views