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1 answer:

5 0

At the seventh meeting there would be 20 members. If you think about the question carefully there were 12 members at the first meeting, then they skipped 6 meetings, with each meeting being skipped or not written down they added 1 member, so therefore you would add 2 members for the next 2 meetings. making 20 members.
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a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is $p'(x)=3x^2-9$ . In particular, the value we are looking for is $p'(2)=3(2^2)-9=12-9=3$ .

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get $y=3(x-2)-10=3x-16$

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