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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!
y"-3y''-4y=2sinx
Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du, where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably
Two circles touch each other externally: Given: Two circles with respective centres C1 and C2 touch each other externaly at the point P. T is any point on the common tangent
2/6
regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual
On each day t of n days, N customers of a supermarket were sampled and the number Xt expressing dissatisfaction was recorded. The results suggested that there were good and bad day
evaluate the expression a) 10C4 b) 10P4.....I do not understand this
what is 6/36 as two equivalent fractions 2/12 as two equivalent fractions 4/28 3/21 2/11 4/13=8/x 12/30=n/90 q/54=2/9 3/7 14/h=7/20
So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable
Absolute Convergence While we first talked about series convergence we in brief mentioned a stronger type of convergence but did not do anything with it as we didn't have any
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