Consider the function f defined by the formula √ Aex-2 + cx - 3c if x < 2, x³ + cx² + B if x > 2. f(x) = = If A =19 and B = 1, then find the value of c for which f is continuous at x = 2. (Enter the exact value as a decimal number.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Consider the function f defined by the formula
J Aex-2
+ cx
f(x) = { x³ + cx² + B
3c if x < 2,
if x ≥ 2.
=
= 2. (Enter the exact
If A =19 and B = 1, then find the value of c for which f is continuous at a
value as a decimal number.)
Transcribed Image Text:Consider the function f defined by the formula J Aex-2 + cx f(x) = { x³ + cx² + B 3c if x < 2, if x ≥ 2. = = 2. (Enter the exact If A =19 and B = 1, then find the value of c for which f is continuous at a value as a decimal number.)
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