secant slope from the left: secant slope from the right: Ay Ду f(x) f(x) Ax Дх -3.5 -2.5 -3.05 -2.95 -3.005 -2.995

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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Question
Compute secant slopes of f(x) through A
(-3,4)
1.0
1,0
f(x) = V25 – x2
approximate the instantaneous slope at: A : (-3,4)
secant slope from the left:
secant slope from the right:
Ay
Ду
f(x)
f(x)
Ax
Дх
-3.5
-2.5
-3.05
-2.95
-3.005
-2.995
Notes:
• Your answers must be given as decimal approximations.
• When completing the table, make sure your answers are accurate to at least 4
decimal places.
• Be careful when computing the slope, you may need more than 4 decimal
places for the y-coordinate in order for the slope to achieve the required
аccuracy.
Estimate the instantaneous slope of f(x) at A
Using your computations above, estimate the instantaneous slope of f(x) at
(-3,4):
Transcribed Image Text:Compute secant slopes of f(x) through A (-3,4) 1.0 1,0 f(x) = V25 – x2 approximate the instantaneous slope at: A : (-3,4) secant slope from the left: secant slope from the right: Ay Ду f(x) f(x) Ax Дх -3.5 -2.5 -3.05 -2.95 -3.005 -2.995 Notes: • Your answers must be given as decimal approximations. • When completing the table, make sure your answers are accurate to at least 4 decimal places. • Be careful when computing the slope, you may need more than 4 decimal places for the y-coordinate in order for the slope to achieve the required аccuracy. Estimate the instantaneous slope of f(x) at A Using your computations above, estimate the instantaneous slope of f(x) at (-3,4):
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