if f(x)=9x(cubed) +9x(squared)-x+c and f(-3)=1. whats the value of C
\[f(x)=x^3+9x^2-x+c\]\[f(-3)=(-3)^3+9(-3)^2--3+c=1\]Now do the calculations (without calculator, of course!) and solve for c!
i get confused at the end.. because i got -27-81+3+c, right?
-105+c?
Integrate the function with respect to x!
Sorry, typo :( \[f(x)=9x^3+9x^2-x+c\]\[f(-3)=9(-3)^3+9(-3)^2--3+c=1\] So it's 9*27+9*9+3+c=1 243+81+3+c=1 ... ...
-326?
yup
Nope. c = 160 \[9(-3)^3+9(-3)^2-(-3)+c=1 \]\[9(-27)+9(9)+(3)+c=1 \]\[-243+81+3+c=1\]\[-243+84+c=1\]\[-159+c=1\]\[c=160\] Refer to the attachment for a solution using Mathematica.
Mathematica seems overkill to me ;) I admit it had to be -243 instead of 243, so the final answer is 160. And then I had the nerve to say do not use a calculator... Well, if the numbers are more than 100 away from 0 then I'd better use the damn thing!
Well look at this way: should NASA have hired 10,000 math slaves doing pencil and paper hand calculations to support the space shuttle flights in real time? Without pre-programmed computers, and fast ones at that, no space program.
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