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Functions Involving Parameters, Vectors, & Matrices

Olivia King

Olivia King

10 min read

Study Guide Overview

This study guide covers parametric functions, implicitly defined functions, vectors, and matrices. Key concepts include parametric equations for planar motion, rates of change, conic sections, vector operations (addition, subtraction, dot/cross product), vector-valued functions, matrix operations, and using matrices as functions. Applications of these concepts are also explored.

Question 1 of 12

A particle's position is given by x(t)=t+2x(t) = t + 2 and y(t)=2tโˆ’1y(t) = 2t - 1. What is the particle's position at t=3t = 3?

(5, 5)

(3, 5)

(5, 3)

(3, -1)