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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!
The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar
Estimating the Value of a Series One more application of series is not actually an application of infinite series. It's much more an application of partial sums. Actually, we
Certain model of new home distributed with a mean of $150,000. Find percentage of buyers who paid between $150,000-155,000 if standard deviation is $1800.
Factorize x squared + 6x + 8
what is the lower levl of produc for MCB bank
regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual
Marks obtained by 70 students are given below: M arks 20 70 50 60 75 90 40 No.
area of r=asin3x
5to6
Example of Word problem: There is a man who is 21 years older than his son. 5 years ago he was four times as old as his son. How older are both now? Solution: Step 1
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