Explanation Given : f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 on [ − 2 , 3 ] The given function, f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 First check the continuity of the function at t = 1 Now calculate the left hand limit L = lim x → 1 − ( − t 2 − t + 2 ) L = lim h → 0 ( − ( 1 − h ) 2 − ( 1 − h ) + 2 ) L = 0 Now calculate the right hand limit R =

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 4.1, Problem 32PS

To determine

To find: The greatest value of f(t)={− t 2−t+2if t<13−tif t≥1 on [−2,3]

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Chapter 4.1, Problem 31PS

Chapter 4.1, Problem 33PS

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Question 4 Find an equation of (a) The plane through the point (2, 0, 1) and perpendicular to the line x = y=2t, z=3+4t. 3t, (b) The plane through the point (3, −2, 8) and parallel to the plane z = x+y. (c) The plane that contains the line x = parallel to the plane 5x + 2y + z = 1. 1+t, y2t, z = 43t and is (d) The plane that passes through the point (1,2,3) and contains the line x = 3t, y=1+t, and z = 2 – t. (e) The plane that contains the lines L₁ : x = 1 + t, y = 1 − t, z = = L2 x 2s, y = s, z = 2. 2t and

can you explain why the correct answer is A

Chapter 4 Solutions

Student's Solution and Survival Manual for Calculus

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The greatest value of f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 on [ − 2 , 3 ]

Solution Summary: The author explains the value of f(t)=cc

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To find: The greatest value of f(t)={− t 2−t+2if t<13−tif t≥1 on [−2,3]

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Chapter 4 Solutions

The greatest value of f ( t ) = { − t 2 − t + 2 if t &lt; 1 3 − t if t ≥ 1 on [ − 2 , 3 ]

Solution Summary: The author explains the value of f(t)=cc

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To find: The greatest value of f(t)={− t 2−t+2if t<13−tif t≥1 on [−2,3]

Want to see the full answer?

Chapter 4 Solutions

The greatest value of f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 on [ − 2 , 3 ]