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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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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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