3 cumulative quiz

Question 1

find acceleration of particle (positive or negative)

Answer 1

always positive

Question 2

for what time is the particle moving to the right, what are the intervals?

Answer 2

from 0 to infinity

when you write 0 put a square bracket to the left of it

Question 3

is the particle speeding up or slowing down at t=3, give a reason for your
answer,
what steps do you do?

Answer 3

find both a(3) and v(3)

Question 4

what is linearzation basically

Answer 4

the tangent line at that point

Question 5

what is approximation

Answer 5

the tangent line is a good approximation

Question 6

linearzation only works when…

proximity

Answer 6

you are close to the point of interest

Question 7

what is the formula for linearzation

Answer 7

l(x)= f(a)+f’(a)(x-a)

Question 8

what do you do with formula for linearzation when approximating a point

Answer 8

plug that point into the linearzation formula for x

Question 9

how do you check linearzation apporximation(l(x))

Answer 9

check with f(x) see if the numbers are close

Question 10

should you simplify your linear approximation formula

Answer 10

no because it may change the answer

Question 11

what is the natural log of 1

Answer 11

0

Question 12

if yk the square root of 9 whatcha you sue to find the the square root of 9.1

Answer 12

you can use linearzation / localization

Question 13

when asked if the approximation is an over estimate or an underestimate use what

Answer 13

use f” to determine con cavity and do a light sketch to see if it’s an over or under estimation

Question 14

tan 45 degrees

Answer 14

1

Question 15

what is dy=

Answer 15

f’(x)dx