Wednesday

October 1, 2014

October 1, 2014

Posted by **Nyk** on Friday, October 7, 2011 at 1:37pm.

y = 3/(7 − x).

(a) If Q is the point x, 3/(7 − x)),

use your calculator to find the slope

mPQ of the secant line PQ (correct to six decimal places) for the following values of x.

(i) 7.9

mPQ =

(ii) 7.99

mPQ =

(iii) 7.999

mPQ =

(iv) 7.9999

mPQ =

(v) 8.1

mPQ =

(vi) 8.01

mPQ =

(vii) 8.001

mPQ =

(viii) 8.0001

mPQ =

(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at

P(8, −3).

m =

(c) Using the slope from part (b), find an equation of the tangent line to the curve at P(8, −3).

**Answer this Question**

**Related Questions**

calculus - Find an equation for the surface consisting of all points P(x, y, z) ...

biology - Given the part of the molecule shown below, can the underlined atom ...

calc - The point P(4, −2)lies on the curve y = 2/(3 − x). (a) If Q ...

calculus - The point P(4, −2)lies on the curve y = 2/(3 − x). (a) If...

Calculus - Find the point on the line 6x + y = 9 that is closest to the point (-...

Math Trig - 13. What is the equation of a cosine function with amplitude 3, ...

Grade 12 Calculus - Evaluate each of the following. Show all your calculations...

Pre-Calculus - Determine the derivative at the point (2,−43) on the curve ...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...