Chapter 11: Q.49 (page 860)
Show that the graph of the vector function is a circle. (Hint: Show that the graph lies on a sphere and in a plane.)
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Chapter 11: Q.49 (page 860)
Show that the graph of the vector function is a circle. (Hint: Show that the graph lies on a sphere and in a plane.)
Ans:
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Evaluate and simplify the indicated quantities in Exercises 35鈥41.
Given a vector-valued function r(t) with domain what is the relationship between the graph of r(t) and the graph of kr(t), where k > 1 is a scalar?
Let k be a scalar and be a differentiable vector function. Prove that . (This is Theorem 11.11 (a).)
Prove Theorem 11.7 for vectors in R2. That is, let and be two scalar functions, each of which is differentiable on an interval I 鈯 R, and let localid="1649578343519" be a vector function. Prove that .
Find and graph the vector function determined by the differential equation
. (HINT: Start by solving the initial-value problem .)
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