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Evaluating a Function
You evaluate a function by "plugging in a number".
For example, to evaluate the function f(x) = 3x2+ x -5at x = 10, you plug in a 10 everywhere you see an x: f(10) = 3(10)2 + 10 - 5 =3(100) + 10 - 5 =300 + 10 - 5 =305
To evaluate f at x = z + 1, you would write
f(z + 1)= 3(z + 1) 2 + (z + 1) - 5The thing to be careful of is parentheses. Notice how in the first term, the entire expression (z + 1) is squared? If you wrote
f(z + 1) = 3z + 1 + (z + 1) - 5 (wrong!)
it would be wrong. You need the whole expression squared and multiplied by 3, and the parentheses are needed to make it happen!
Basic indefinite integrals The first integral which we'll look at is the integral of a power of x. ∫x n dx = (x n +1 / n + 1)+ c, n
how can we represent this mathematical equation on a graph y=2x-1
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Explain sparse matrix and Dense matrix?
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Find the circumference of a circle whose area is 16 times the area of the circle with diameter 7cm (Ans: 88cm) Ans: Π R 2 = 16 Π r 2 R 2 = 16 r 2
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
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