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The point P(7, -4) lies on the curve y = 6- (a) If Q is the point find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - (i) 6.9 mpo 4.444444 (ii) 6.99 4.040404 (iii) 6.999 4.004004 mpo (iv) 6.9999 mpo = 4.000400 (v) 7.1 = [3.636383 (vi) 7.01 mpo = (vii) 7.001 (viii) 7.0001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7. -4). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4). Need Help? Read It

The point P(7, -4) lies on the curve y = 6- (a) If Q is the point find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - (i) 6.9 mpo 4.444444 (ii) 6.99 4.040404 (iii) 6.999 4.004004 mpo (iv) 6.9999 mpo = 4.000400 (v) 7.1 = [3.636383 (vi) 7.01 mpo = (vii) 7.001 (viii) 7.0001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7. -4). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4). Need Help? Read It

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help with a) last three, B and c.
The point P(7, -4) lies on the curve y = 6- (a) If Q is the point find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - (i) 6.9 mpo 4.444444 (ii) 6.99 4.040404 (iii) 6.999 4.004004 mpo (iv) 6.9999 mpo = 4.000400 (v) 7.1 = [3.636383 (vi) 7.01 mpo = (vii) 7.001 (viii) 7.0001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7. -4). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4). Need Help? Read It
Transcribed Image Text:The point P(7, -4) lies on the curve y = 6- (a) If Q is the point find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - (i) 6.9 mpo 4.444444 (ii) 6.99 4.040404 (iii) 6.999 4.004004 mpo (iv) 6.9999 mpo = 4.000400 (v) 7.1 = [3.636383 (vi) 7.01 mpo = (vii) 7.001 (viii) 7.0001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7. -4). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4). Need Help? Read It
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