Ratios, math, Mathematics

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450 students. if there are 50 more boys than girls, how many boys and girls are there?

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Rules of logarithms, Rule 1 The logarithm of 1 to any base is 0. Pro...

Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga

Second order differential equations, In the earlier section we looked at fi...

In the earlier section we looked at first order differential equations. In this section we will move on to second order differential equations. Just as we did in the previous secti

Angles, Find the acute angle theta that satisfies the given equation. Give ...

Find the acute angle theta that satisfies the given equation. Give theta in both degrees and radians. You should do these problems without a calculator. Sin= sqroot3/2

The volume and surface area of this solid , The region bounded by y=e -x a...

The region bounded by y=e -x and the x-axis among x = 0 and x = 1 is revolved around the x-axis. Determine the volume and surface area of this solid of revolution.

Trigonometric approximation grid, With a compass draw the arc associated wi...

With a compass draw the arc associated with a 720° angle, it looks like a circle. With a protractor, label the angle in multiples of 45° and 30° up to 720°.  Notice 30° and 390° ar

Tangents with polar coordinates - parametric equations, Tangents with Polar...

Tangents with Polar Coordinates Here we now require to discuss some calculus topics in terms of polar coordinates. We will begin with finding tangent lines to polar curves.

Simultaneous equations, Before we look at simultaneous equations let ...

Before we look at simultaneous equations let us brush up some of the fundamentals. First, we define what is meant by an equation. It is a statement which indicate

Principle of superposition, If y 1 (t) and y 2 (t) are two solutions to a...

If y 1 (t) and y 2 (t) are two solutions to a linear, homogeneous differential equation thus it is y (t ) = c 1 y 1 (t ) + c 2 y 2 (t )   ........................(3) Remem

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