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Prove that a m + n + a m - n =2a m Ans: a m + n = a 1 + (m + n - 1) d a m-n = a 1 + (m - n -1) d a m = a 1 + (m-1) d Add 1 & 2 a m+n + a m-n =
A function is an equation for which any x which can be plugged into the equation will yield accurately one y out of the equation. There it is. i.e. the definition of functions w
Curvature - Three Dimensional Space In this part we want to briefly discuss the curvature of a smooth curve (remind that for a smooth curve we require → r′ (t) is continuou
3x+5y
Take the carburizing of a steel bar to make a hard surface. To obtain the desired hardness, we require to control the diffusion of carbon into the surface and the phases obtained d
All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i
In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour . The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.
Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet. a) Set up an equation for the perimeter involving on
Question: Find all third order partial derivatives for the function F(x,y)= log xy+ e (x+y) -x/y.
Graph y = cos (x) Solution: There actually isn't a whole lot to this one. Given the graph for -4 ? ≤ x ≤ 4 ? . Note that we can put all values of x in cosine (that wo
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