question b and number 2 X1. The point P(1,2) lies on the curve y1+x(a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ (correct tosix decimal places) for the following values of x:(i)0.99(ii)(iii)(iv)0.9991.11.001(b) Using the result of part (a) guess the value of the slope of the tangent line to the curve at P (1,¹).2. Make a table to evaluate the limit: lim tan (x). Show at least four values in your table. What would you guessx-0Xis the limit?

Since you have asked multiple questions in a single request so we will be answering only first…

X 1+x (a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x: (i) 0.99 1. The point P(1,2) lies on the curve y = (ii) (iii) (iv) 0.999 1.1 1.001 (b) Using the result of part (a) guess the value of the slope of the tangent line to the curve at P (1,¹).

X 1+x (a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x: (i) 0.99 1. The point P(1,2) lies on the curve y = (ii) (iii) (iv) 0.999 1.1 1.001 (b) Using the result of part (a) guess the value of the slope of the tangent line to the curve at P (1,¹).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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