Mathematics, 18.01.2021 01:00 Jerrikasmith28

A)Use the table to determine the average rate of change of the function =() y=f(x) over the interval [2,5].

x: 2 / 3 / 4 / 5 / 6 / 7
y: 4.21 / 5.01/ 7.81/ 12.61/ 19.41/ 28.21

Round your answer to two decimal places, if necessary.
Average rate of change of over [2,5]is?

B) A soccer ball is kicked into the air. The given table shows the average velocity of the ball in meters per second after seconds.
t seconds.

Time interval: [1.9,2] / [1.99,2] / [1.999,2] / [1.9999,2] / [2,2.00001]
average velocity: 5.725 / 5694 / 5.671 / 5.638 / 5.626
Estimate the ball's instantaneous velocity at =2 s. Round your answer to two decimal places.
instantaneous velocity is ?

C) A wrench released from a state of rest at time =0 travels a distance ()=4.92 in seconds.
Estimate the instantaneous velocity at =4seconds.
(Use decimal notation. Give your answer to one decimal place if necessary.)
= ??m/s

D)Estimate the slope of the tangent line at the point =12, for ()=ln().
(Use decimal notation. Give your answer to three decimal places.)
slope of the tangent line=?

F)Estimate the slope of the tangent line at the point =−3,for ()=x.
(Use decimal notation. Give your answer to three decimal places.)
slope of the tangent line:?

Q2)Compute Δ/Δ for the interval [2,6], where =3−1.

a)Δy/Δx =?

b)What is the slope of the tangent line at =6?

c)slope of the tangent line:?

Answers: 2

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A)Use the table to determine the average rate of change of the function =() y=f(x) over the interva...

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