1) Find the average rate of change of the function over the given interval. a) f(x) = x³ + 1, [2,3] b) f(x) = cotx, 2) Use the method in example 2 to find a) the slope of the curve at the given point P and b) find an equation of the tangent line at a) y = x - 3, P(2,1) b) y = x, P(2,8) 3) For the function f(t) graphed here, find the following limits or explain why they do not exist. a) lim f(t) b) lim f(t) lim f(t) d) lim f(t) --1 s = f(t) -1 4) Which of the following statements about the function y = f(x) graphed here are true, and which are false? a) lim f(x) does not exist.
1) Find the average rate of change of the function over the given interval. a) f(x) = x³ + 1, [2,3] b) f(x) = cotx, 2) Use the method in example 2 to find a) the slope of the curve at the given point P and b) find an equation of the tangent line at a) y = x - 3, P(2,1) b) y = x, P(2,8) 3) For the function f(t) graphed here, find the following limits or explain why they do not exist. a) lim f(t) b) lim f(t) lim f(t) d) lim f(t) --1 s = f(t) -1 4) Which of the following statements about the function y = f(x) graphed here are true, and which are false? a) lim f(x) does not exist.
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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