(a) Thegraphof f(x)=x^2 -x ontheinterval [0,2] is shown. Sketch the graph of g(x) = |x^2 -...

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(a) Thegraphof f(x)=x^2 -x ontheinterval [0,2] is shown. Sketch the graph of g(x) = |x^2 - x|

on [0,2] on the axes.

(b) The velocity function is v(t) = t^2 -t (in meters per second) for a particle moving along a line 0 $\leq$ t $\leq$ 2 .

Find the displacement of the particle and the total distance travelled by the particle on 0 $\leq$ t $\leq$ 2 .

math Advanced-Math

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Answer 1

Answer #1

a) f(x) = x-X. EX (X-1 #(O)=; +6)0; f (l) = 1 f for OLXCL 19(x)=62601 n * X 오 o 2 6 4 (b2 (t²-t) dt. x(+) = fvtdt t2 2 3 They

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