a + 5x + 4x2 if x < 3 f(x) = 2 + 5x + 3 if x 2 3 14x²

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2) N eed help with calculus homework question asap, thx

Electric Current. Suppose you have two electronic devices that have different currents when x = 3. Suppose f(x) is the
function that describes the current in both devices and a is an additional tool to change the current of the first device to match
the current of the second device.
f(x) = {
Sa + 5x + 4x2 if x < 3
4x² + 5x + 3 if x 2 3
(a) Find the value of a that will make both currents equal at x = 3 or that f(x) continuous on (-0, o).
O 75
O 105
O None of the other answers
Оз
(b) Is the function differentiable at x = 3?
yes
O no
Transcribed Image Text:Electric Current. Suppose you have two electronic devices that have different currents when x = 3. Suppose f(x) is the function that describes the current in both devices and a is an additional tool to change the current of the first device to match the current of the second device. f(x) = { Sa + 5x + 4x2 if x < 3 4x² + 5x + 3 if x 2 3 (a) Find the value of a that will make both currents equal at x = 3 or that f(x) continuous on (-0, o). O 75 O 105 O None of the other answers Оз (b) Is the function differentiable at x = 3? yes O no
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