9-x2 for -3 Sx S0 f(x) = TCX -x+3 cos for 0 < x <4 Let f be the function defined above. (a) Find the average rate of change of f on the interval -3 S xS 4. (b) Write the equation of the line tangent to the function at x = 3. (c) Is this function continuous at x =0? Explain your reasoning and show all the steps.
9-x2 for -3 Sx S0 f(x) = TCX -x+3 cos for 0 < x <4 Let f be the function defined above. (a) Find the average rate of change of f on the interval -3 S xS 4. (b) Write the equation of the line tangent to the function at x = 3. (c) Is this function continuous at x =0? Explain your reasoning and show all the steps.
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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Transcribed Image Text:V9- x
for -3 <x < 0
f(x) =
TTX
-x +3 cos
for 0 < x < 4
2 )
Let f be the function defined above.
(a) Find the average rate of change of f on the interval -3 SxS 4.
(b) Write the equation of the line tangent to the function at x = 3.
(c) Is this function continuous at x =0? Explain your reasoning and
show all the steps.
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