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How would you convert the Binary number 01001101 into both Hexadecimal and Decimal?

Into Decimal (Base 10): Write the values for each bit above the number to be converted (128, 64, 32, 16, 8, 4, 2, 1). For each bit in the number to be converted, if it is a 1, circle the value that you wrote...
GM
Answered by George M. • Computing tutor
13615 Views

Integrate ⌠( xcos^2(x))dx

We must first use trigonometric identities to simplify cos 2 (x). We can use the formula cos(A+B) = cos(A)cos(B) - sin(A)sin(B) , where A=x and B=x , so that we get cos(2x) = cos 2 (x) - sin 2 (x) = 2cos 2 (...
DA
Answered by Daniel A. • Maths tutor
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A uniform plank of wood of mass 32 kg and length 4.0 m is used to cross a ditch. In the ditch is a rock, which is used to support the plank horizontally 0.80 m from one end. The other end is supported by the bank. Calculate the rock's supporting force.

We need to calculate moments about a point through which one of the forces is acting. I choose the bank support point. At this point, moments are caused by the weight of the plank acting at its centre of mas...
RS
Answered by Ricardo S. • Physics tutor
13323 Views

A curve C has equation y = (2 - x)(1 + x) + 3 . A line passes through the point (2, 3) and the point on C with x-coordinate 2 + h . Find the gradient of the line, giving your answer in its simplest form.

First we find the y coordinate which is a function of x: x = 2+ h so y = (2 - 2 - h)(1 + 2 + h) + 3 = -h 2 - 3h + 3 Now for the gradient, the line passes through points (2,3) and (2 + h, -h 2 - 3h + 3) dx = ...
RS
Answered by Ricardo S. • Maths tutor
4764 Views

To what extent can the English civil war (1642-1651) be described as a war of religion?

The cause's of the English Civil war can be divided into three broad categories, the most important of these being religious division. Politically the fear of Absolutism, caused by Charles stringent reforms,...
ED
Answered by Ed D. • History tutor
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