The accompanying figure shows some level curves of an unspecified function f x , y . (a) Use the available information to approximate the length of the vector ∇ f 1 , 2 , and sketch the approximation. Explain how you approximated the length and determined the direction of the vector. (b) Sketch an approximation of the vector − ∇ f 4 , 4 .
The accompanying figure shows some level curves of an unspecified function f x , y . (a) Use the available information to approximate the length of the vector ∇ f 1 , 2 , and sketch the approximation. Explain how you approximated the length and determined the direction of the vector. (b) Sketch an approximation of the vector − ∇ f 4 , 4 .
The accompanying figure shows some level curves of an unspecified function
f
x
,
y
.
(a) Use the available information to approximate the length of the vector
∇
f
1
,
2
,
and sketch the approximation. Explain how you approximated the length and determined the direction of the vector.
(b) Sketch an approximation of the vector
−
∇
f
4
,
4
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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