The three components of the derivative of the vector-valued function r are positive at t = t0. Describe the behavior of r at t = t0. (b) Consider the vector-valued function r(t) = t 2 i + (t − 3)j + tk. Write a vector-valued function s(t) that is the specified transformation of r. i. a vertical translation 3 units upward ii. a horizontal translation 2 units in the direction of the negative x-axis iii. a horizontal translation 5 units in the direction of the positive y-axis
The three components of the derivative of the vector-valued function r are positive at t = t0. Describe the behavior of r at t = t0. (b) Consider the vector-valued function r(t) = t 2 i + (t − 3)j + tk. Write a vector-valued function s(t) that is the specified transformation of r. i. a vertical translation 3 units upward ii. a horizontal translation 2 units in the direction of the negative x-axis iii. a horizontal translation 5 units in the direction of the positive y-axis
The three components of the derivative of the vector-valued function r are positive at t = t0. Describe the behavior of r at t = t0. (b) Consider the vector-valued function r(t) = t 2 i + (t − 3)j + tk. Write a vector-valued function s(t) that is the specified transformation of r. i. a vertical translation 3 units upward ii. a horizontal translation 2 units in the direction of the negative x-axis iii. a horizontal translation 5 units in the direction of the positive y-axis
The three components of the derivative of the vector-valued function r are positive at t = t0. Describe the behavior of r at t = t0. (b) Consider the vector-valued function r(t) = t 2 i + (t − 3)j + tk. Write a vector-valued function s(t) that is the specified transformation of r. i. a vertical translation 3 units upward ii. a horizontal translation 2 units in the direction of the negative x-axis iii. a horizontal translation 5 units in the direction of the positive y-axis
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.
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