16. John tries to find the equation of the tangent line to the graph y=5x+1 at x=2. His calculations show that the equation of the tangent line is y=5x+1 itself. Do you think John got it right? * O Yes, it is correct. No, it is incorrect because the tangent line is y=5x+2. No, it is incorrect because there is not enough information to solve the problem. No, it is incorrect because the answer cannot be the same with the given equation.

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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16. John tries to find the
equation of the tangent line to
the graph y=5x+1 at x=2. His
calculations show that the
equation of the tangent line is
y=5x+1 itself. Do you think John
got it right? *
O Yes, it is correct.
No, it is incorrect because the
tangent line is y=5x+2.
No, it is incorrect because there is
O not enough information to solve the
problem.
No, it is incorrect because the
O answer cannot be the same with the
given equation.
Transcribed Image Text:16. John tries to find the equation of the tangent line to the graph y=5x+1 at x=2. His calculations show that the equation of the tangent line is y=5x+1 itself. Do you think John got it right? * O Yes, it is correct. No, it is incorrect because the tangent line is y=5x+2. No, it is incorrect because there is O not enough information to solve the problem. No, it is incorrect because the O answer cannot be the same with the given equation.
Kevin was tasked to solve the problem:
"A billiard ball is hit and travels in a straight line. If g centimeters is the distance of the
ball from its initial position at t seconds, then g(t) = 50t² + 50t. What is the
instantaneous velocity of the at t = 2 seconds?
Kevin's answer is 250 meters per second. Is this correct?
O Yes, it is correct.
No, it is incorrect because the
O instantaneous velocity is 150 meter
per seconds.
No, it is incorrect because there is
O not enough information to solve the
problem.
No, it is incorrect because Kevin's
O answer is the average velocity from
0 to 2 seconds.
Transcribed Image Text:Kevin was tasked to solve the problem: "A billiard ball is hit and travels in a straight line. If g centimeters is the distance of the ball from its initial position at t seconds, then g(t) = 50t² + 50t. What is the instantaneous velocity of the at t = 2 seconds? Kevin's answer is 250 meters per second. Is this correct? O Yes, it is correct. No, it is incorrect because the O instantaneous velocity is 150 meter per seconds. No, it is incorrect because there is O not enough information to solve the problem. No, it is incorrect because Kevin's O answer is the average velocity from 0 to 2 seconds.
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