Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – 27 at x = 4. What is the equation of a tangent line at point P(4, f(4))? i. Sketch the graph of f(x) and make a tangent line at point P. Label the graph and the tangent line. ii. Consider point Q(2.5, f(2.5)) along with the graph of f(x). Make a line connecting point P and point Q. Label the line by “Secant Line PQ". Find the slope mpg of the secant line PQ. iii. Let the point Q(x, f(x)) be the arbitrary point along the graph of f(x) where the value of x must be in between 1 and 2.5 (i.e. 1

Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – 27 at x = 4. What is the equation of a tangent line at point P(4, f(4))? i. Sketch the graph of f(x) and make a tangent line at point P. Label the graph and the tangent line. ii. Consider point Q(2.5, f(2.5)) along with the graph of f(x). Make a line connecting point P and point Q. Label the line by “Secant Line PQ". Find the slope mpg of the secant line PQ. iii. Let the point Q(x, f(x)) be the arbitrary point along the graph of f(x) where the value of x must be in between 1 and 2.5 (i.e. 1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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