Evaluate the vector-valued function at each given value of t.

expeditiupc

expeditiupc

Answered question

2021-12-10

Evaluate the vector-valued function at each given value of t. r(t)=(2t+1)i+t2jt+2k
(a) r(0)(b)r{2)(c)r(c1)
(d) r(1+t)r(1)

Answer & Explanation

Serita Dewitt

Serita Dewitt

Beginner2021-12-11Added 41 answers

Step2
Given -
r(t)=(2t+1)i+t2j(t+2)k
a) r(0)=(2(0)+1)i+(0)2j(0+2)k=i2k
b) r(2)=(2(2)+1)i+(2)2j(2+2}k=3i+4j
Step3
c) r(c1)=(2(c1)+1)i+(c1)2j(c1+2)k+(2c1)i+(c1)2j+c+1k
d) r(1+t)r(1)=(2(1+t)+1)i+(1+t)2j(1+t+2)k((2(1)+1)i+(1)2j(1+2k)}
=2ti+(2t+(t)2)j(3+t3)k

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