Explanation Consider the vector function. r t = t , 2 t This function is continuous at t = 0 . But the limit is, lim h → 0 r 0 + h − r 0 h = lim h → 0 h , 2 h − 0 , 0 h = lim h → 0 h , 2 h h Now, take the limits of LHS and RHS

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magn…

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.

Question

Chapter 12.2, Problem 41ES

To determine

Whether the statement, â€œIf a vector-valued function rt is continuous at t=a , then the limit, limh→0ra+h−rah , exists.â€�, is true or false

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Chapter 12.2, Problem 40ES

Chapter 12.2, Problem 42ES

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Chapter 12 Solutions

EBK CALCULUS EARLY TRANSCENDENTALS SING

Ch. 12.1 - Prob. 1QCE Ch. 12.1 - Describe the graph of rt=1+2t,1+3t.Ch. 12.1 - Prob. 3QCE Ch. 12.1 - Prob. 4QCE Ch. 12.1 - Find the domain of rt and the value of rt0....Ch. 12.1 - Find the domain of rt and the value of rt0....Ch. 12.1 - Find the domain of rt and the value of rt0....Ch. 12.1 - Find the domain of rt and the value of rt0....Ch. 12.1 - Prob. 5ES Ch. 12.1 - Prob. 6ES

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Whether the statement, â€œIf a vector-valued function r t is continuous at t = a , then the limit, lim h → 0 r a + h − r a h , exists.â€�, is true or false

Solution Summary: The author evaluates whether the statement, "If a vector-valued function r(t) is continuous at t=a, then the limit exists.

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Whether the statement, â€œIf a vector-valued function rt is continuous at t=a , then the limit, limh→0ra+h−rah , exists.â€�, is true or false

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Chapter 12 Solutions