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Tangent, Normal and Binormal Vectors
In this part we want to look at an application of derivatives for vector functions. In fact, there are a couple of applications, but they all come back to requiring the first one.
In the past we have employed the fact that the derivative of a function was the slope of the tangent line. Along with vector functions we obtain exactly similar result, along with single exception.
There is a vector function, r→ (t) , we call →r′ (t) the tangent vector specified by it exists and provided →r′ (t) ≠ 0 . After that the tangent line to →r (t) at P is the line that passes via the point P and is parallel to the tangent vector, →r′ (t).
Notice: we really do need to require r?′ (t) ≠ 0 to have a tangent vector. Whether we had →r′(t) = 0→ we would have a vector that had no magnitude and thus could not give us the direction of the tangent.
Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event B. Likewise for independent
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how many numbers must be selected from the set A={1, 3, 5, 7, 9, 11, 13, 15}to guarantee that at least one pair of these numbers add up to16? Explain and justify your answer
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#i hve two qestion on Differential Equation i need solve it..
Solve the subsequent quadratic equation: Solve the subsequent quadratic equation through taking the square roots of both sides. 3x 2 = 100 - x 2 Solution: Step 1
100+5000
1. The number of accidents attended to by 6 emergency ambulance stations during a 5 month period was: Station May June July Aug Sep A 21 20 22 37 37
find the coordinates of points of tri-section of the line joining the points (-3,0) and (6,6).
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