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Firstly, it is important to know the difference between scalars and vectors. Scalars are just a number associated with a measured quantity, while vectors are a number AND a direction associated with a qu...

Since we need to find dy/dx, we must first differentiate the equation implicitly which gives us: 8x - 3y²dy/dx - 4y - 4xdy/dx + 2^yln(2)dy/dx = 0. Because we are given a point, we can...

To find the point(s) where these two lines intersect we will first find the x coordinate of the point(s) where they intersect snd use this to find the corresponding y coordinate by substituting the x valu...

The normal distribution tables show, for a given Z value, the probability that the random variable z takes a value less than Z or P(z<Z). This is also the area under the normal distribution curve up to...

We see that x and y are both expressed in terms of t and as we are looking to define dy/dx in terms of t, the first step we take is to find the derivatives of x and y in terms of t as follows.x = (t-1)^3d...