Find r'(t), r(t_{\circ}), and r'(t_{\circ}) for the given value of

Schwelliney

Schwelliney

Answered question

2021-11-25

Find r(t),r(t), and r(t) for the given value of t=3. Then sketch the curve represented by the vector-valued
function r(t)=(1t2)i+tj, and sketch the vectors r(t0) and r(t).

Answer & Explanation

Squairron

Squairron

Beginner2021-11-26Added 7 answers

Step 1
The vector-valued function is, r(t)=(1t2)i+tj
The value of r'(t) is,
Differentiation of r(t),
r(t)=2ti+j
Att=3,
The vector-valued function r(t)=(1t2)i+tj is,
r(3)=(132)i+3j
=8i+3j
Step 2
Att=3,
The differentiation of r(t)is,
r(3)=2(3)i+j
=6i+j
The graph of the vector-valued function r(3) ,r(3) is,

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?