(a) Sketch a graph of y=5" and carefully draw three secant lines connecting the points P(0.1) and Q(x5), for x=-3 -2 -1. Choose the comect graph below Oc (b) Find the siope of the line that joins P01) and (xs) for x*0. (Type an expression using x as the variable) (c) Complete the following table and make a conjecture about the value of lim 5²-1 <-0.1 -0.01 0 0 (Round to four decimal places as needed) X <-10 -0.001-6.0001-000001 0 GO

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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(a) Sketch a graph of y=5" and carefully draw three secant lines connecting the points P(0.1) and Q(x5), for x=-3, -2,-1. Choose the correct graph below.
CA
O.C.
(b) Find the slope of the line that joins P(0.1) and a (xs) for x 0.
(Type an expression using as the variable.)
(c) Complete the following table and make a conjecture about the value of lim
x-0
-0.1 -0.01 -0.001 -0.0001 -0.00001
☐
☐
(Hound to four decimal places as needed)
X
-1.0
C₂
OD
COP
Transcribed Image Text:(a) Sketch a graph of y=5" and carefully draw three secant lines connecting the points P(0.1) and Q(x5), for x=-3, -2,-1. Choose the correct graph below. CA O.C. (b) Find the slope of the line that joins P(0.1) and a (xs) for x 0. (Type an expression using as the variable.) (c) Complete the following table and make a conjecture about the value of lim x-0 -0.1 -0.01 -0.001 -0.0001 -0.00001 ☐ ☐ (Hound to four decimal places as needed) X -1.0 C₂ OD COP
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