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Math integrals

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(22 + air + 2) do =
Find a.
Integrate by substitution:
- 5
b / 312 13 - 1 dx
y = f(@)
f(x) de represent the area of
4 Determine k if the enclosed region has
the shaded region?
area 5= units.
Explain your answer briefly.
A particle moves in a straight line with velocity v(t) =3 -6t +8 ms , for t > 0 seconds.
a Draw a sign diagram for v(t).
b Explain exactly what happens to the particle in the first 5 seconds of motion.
After 5 seconds, how far is the particle from its original position?
d Find the total distance travelled in the first 5 seconds of motion.

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