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Science & Mathematics by Anonymous 2018-05-18 13:05:39
Social Science
Evaluate the following function?
2 answers
Evaluate the following function at the values t + 2 and t + h. g(t) = 3t^3 - 7t g(t+2)=? g(t+h)=?
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Anonymous
g(t)=3t^3-7t => g(t+2)= 3(t+2)^3-7(t+2)= (t+2)[3(t+2)^2-7]= (t+2)[3t^2+12t+5] g(t+h)= (t+h)[3(t+h)^2-7]= (t+h)[3t^2+6th+3h^2-7]
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Anonymous
g(t) = 3t^3 -7t = t(3t^2 -7). g(t+2) = (t+2)[3(t+2)^2 -7] = (t+2)(3t^2 +12t +5) = 3t^3 +18t^2 +29t +10. g(t+h) = 3(t+h)^3 - 7(t+h) = 3(t^3 +3t^2h + 3th^2 +h^3) -7t -7h = 3t^3 +9t^2h +9th^2 -7t +3h^3 -7h = 3t^3 +9ht^2 +(9h^2 -7)t +(3h^2 -7)h.
