Calculus Study Guide Day 3

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Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

The velocity of a particle moving along an axis is given by v(t)=2-t² for t>0, what is the average velocity of the particle from t=1 to t=3?

• -4

• -3

• 8/3

• - 7/3

• 10

• 20

• 23

• 35

The velocity of an object is given as v = 2t + 3t³. what is the acceleration of the object at t = 2 s?

• 38 m/s/s
• 27 m/s/s
• 16 m/s/s
• 49 m/s/s

Tags

CCSS.HSA.SSE.A.1

CCSS.HSN.VM.A.3

What is happening to g(x) at x = 3? g(x)=(x-3)² (x-4)

• point of inflection since f "(x) = 0 and changes signs

• relative min since f '(3) = 0 and f(x) changes from decreasing to increasing.

• relative max since f '(3) = 0 and f(x) changes from increasing to decreasing.

• cusp since f '(3) is undefined

• A
• B
• C
• D

Tags

CCSS.HSA.REI.C.7

Determine the value of the limit

• 4

• 1

• ∞

• 0

Tags

CCSS.HSF-IF.C.7D

Compute

• 4

• 1/4

• 0

• DNE

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.7

What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?
f(x) = x² +5x +5,  [-2,6]

• 2
• -2
• 7
• -7

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• (A)
• (B)
• (C)
• (D)