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Parametric Curve - Parametric Equations & Polar Coordinates
Here now, let us take a look at just how we could probably get two tangents lines at a point. This was surely not possible back in Calculus I where we first ran across tangent lines.
A quick graph of the parametric curve will illustrate what is going on here.
Thus, the parametric curve crosses itself! That illustrates how there can be much more than one tangent line. There is one tangent line for each example that the curve undergoes the point.
Graph f ( x ) = e x and g ( x ) = e - x . Solution There actually isn't a lot to this problem other than ensuring that both of these exponentials are graphed somewhere.
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Expand (1- 1/2x -x^2)^9
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Definition of inverse functions : Given two one-to-one functions f ( x ) and g ( x ) if ( f o g ) ( x ) = x AND ( g o f ) ( x ) = x then we say that f ( x ) & g ( x ) are i
Explain the Vertex Formula ? The vertex formula is a convenient way of finding the vertex of the graph for any quadratic function. The graph of the quadratic equation f(x) = ax
The Laplace method Laplace method employs all the information by assigning equal probabilities to the possible payoffs for every action and then selecting such alternative whic
Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls. How many girls attended the first session of s
Differentiate the following functions. (a) f (t ) = 4 cos -1 (t ) -10 tan -1 (t ) (b) y = √z sin -1 ( z ) Solution (a) Not much to carry out with this one other
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