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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

Q

is 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.



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