Fall 2022 Calc I Final Exam Study Guide

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CCSS.8.EE.A.1

Draw a linear function between the points (2, 9) and (-3, 3).

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the slope between (2, 9) and (-3, 3)?

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CCSS.8.EE.B.5

• 0

• -1

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CCSS.HSF.TF.A.2

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

If the position of a particle is represented by x(t) = -t² + 1, what is its instantaneous velocity at t = 1?  

• v = 0
• v = 1
• v = -1
• v = -2

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)
• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)
• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

• A
• B
• C
• D

• A
• B
• C
• D