1) Consider two points P at x = 3 and Q at x = a on...

Transcribed Image Text:

1) Consider two points P at x = 3 and Q at x = a on the curve f(x) = 3(x + 2). Answer the following: [2+3+1+2 = 8 Points] a) Find a formula to calculate the slope of secant line PQ. b) Using a formula from (a), find the slope of secant lime PQ (mpo) for various values of a. Give all values to 5 decimal places. MpQ -3.5 above. -3.1 -3.01 -3.001 c) Estimate the slope of line tangent to the curve at x = 3 using the values from the table at x - 2 -3.0001 -3.00001 d) Find an equation of line tangent to the given curve at x = 3. 1) Consider two points P at x = 3 and Q at x = a on the curve f(x) = 3(x + 2). Answer the following: [2+3+1+2 = 8 Points] a) Find a formula to calculate the slope of secant line PQ. b) Using a formula from (a), find the slope of secant lime PQ (mpo) for various values of a. Give all values to 5 decimal places. MpQ -3.5 above. -3.1 -3.01 -3.001 c) Estimate the slope of line tangent to the curve at x = 3 using the values from the table at x - 2 -3.0001 -3.00001 d) Find an equation of line tangent to the given curve at x = 3.

Answer rating: 100% (QA)

a The formula to calculate the slope of the secant line PQ between points P3 f3 and Qa fa on ... View the full answer