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Convert the general complex number z=x+iy to modulus-argument form.

Modulus-argument form implies that we should express z in terms of its straight line distance from the origin and the angle this straight line would make with the x axis. This is expressed as z = r e i*theta...
BH
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Solve the equation; 4 cos^2 (x) + 7 sin (x) – 7 = 0, giving all answers between 0° and 360°.

4 cos 2 (x) + 7sin (x) – 7 = 0 (1) Using the identity sin 2 (x) + cos 2 (x) = 1, rearrange to give; cos 2 (x) = 1 - sin 2 (x) (2) Sub (2) into (1) ... Giving; 4 ( 1 - sin 2 (x) ) + 7sin (x) - 7 = 0 Expand br...
CS
Answered by Connor S. • Maths tutor
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Explain in terms of the motion of the molecules of the gas why the volume of gas must increase if the pressure is to remain constant as the gas is heated.

- When gas is heated, the molecules gain kinetic energy. This causes more collisions of greater force per unit time with the wall of the container. If the pressure is constant, then fewer collisions per unit...
CS
Answered by Connor S. • Physics tutor
10393 Views

A spherical object of mass 150kg is orbiting the Earth. The distance between the centre of the object and the centre of the Earth is 25,000m. What is the kinetic energy of the object?

This is an example of circular motion caused by a centripetal force. In this case, the centripetal force is the gravitational force between the Earth and the object. Linking the equations for circular motion...
RL
Answered by Ryan L. • Physics tutor
3515 Views

What are the four levels of protein structure?

Primary - The sequence of amino acids in the Protein, defined by the DNA sequence coding for the protein. Secondary - Any folding or coiling within the protein which are stabilised by hydrogen bonds. The two...
TN
Answered by Theo N. • Biology tutor
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