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(Solved): The point P(7,-4) lies on the curve y=(4)/(6-x) (a) If Q is the point (x,(4)/(6-x)), find the slope ...
The point
P(7,-4)lies on the curve
y=(4)/(6-x)(a) If
Qis the point
(x,(4)/(6-x)), find the slope of the secant line
PQ(correct to six decimal places) for the following values of
x. 0.6 .9
m_(FO)=
◻
✓Great werel (i) 6.99
m_(10)=
◻
✓Perfect (ii) 6.999
m_(f0)=◻(iv) 6.9999
m_(PO)=◻ Good jobt (v) 7.1
m_(PQ)=
◻x (vi) 7.01
m_(PO)=◻
x=(vi) 7.001
m_(PQ)=◻(vii) 7.0001
m_(pq)=,x(b) Using the results of part (a), quess the value of the slope of the tangent, line to the curve at
A(7,-4).
m=◻ Amaring jobt (c) Using the slope from part (b), find an equation of the tangent line to the curve at
PC,-4).
◻templessive work.
