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4 (a) Evaluate lim, 1 (-) (b) Let f(x) = ? – x. Find the value(s) of x if the second derivative f" (x) equals zero. (c) For what value(s) of r does the graph f(x) = – x2 +3 %3D 6 have a horizontal tangent. (d) Differentiate the implicit function below y + y = 2x2 + 4

4 (a) Evaluate lim, 1 (-) (b) Let f(x) = ? – x. Find the value(s) of x if the second derivative f" (x) equals zero. (c) For what value(s) of r does the graph f(x) = – x2 +3 %3D 6 have a horizontal tangent. (d) Differentiate the implicit function below y + y = 2x2 + 4

Advanced Engineering Mathematics
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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Kindly solve 4a, 4b, 4c and 4d respectively in the picture below.

4 (a) Evaluate lim, 1 (4 - ) (b) Let f (x) = x² – x*. Find the value(s) of x if the second derivative f" (x) equals zero. (c) For what value(s) of x does the graph f(x) = r³ – a² +3 6 have a horizontal tangent. (d) Differentiate the implicit function below y3 + y = 2x² + 4
Transcribed Image Text:4 (a) Evaluate lim, 1 (4 - ) (b) Let f (x) = x² – x*. Find the value(s) of x if the second derivative f" (x) equals zero. (c) For what value(s) of x does the graph f(x) = r³ – a² +3 6 have a horizontal tangent. (d) Differentiate the implicit function below y3 + y = 2x² + 4
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