For time 0 ≤ ≤ 10, a particle moves along the x-axis with position given by x(t) = t³-77² +8t+5 What is the position of the particle when it is farthest to the left? Select one: a. -11 O b. 23120 퓽 d. -16 O c.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

For time \(0 \leq t \leq 10\), a particle moves along the x-axis with position given by 
\[ x(t) = t^3 - 7t^2 + 8t + 5. \] 
What is the position of the particle when it is farthest to the left?

**Select one:**

- a. \(-11\)
- b. \(-\frac{22}{3}\)
- c. \(-\frac{11}{3}\)
- d. \(-16\)

[Check]
Transcribed Image Text:**Problem Statement:** For time \(0 \leq t \leq 10\), a particle moves along the x-axis with position given by \[ x(t) = t^3 - 7t^2 + 8t + 5. \] What is the position of the particle when it is farthest to the left? **Select one:** - a. \(-11\) - b. \(-\frac{22}{3}\) - c. \(-\frac{11}{3}\) - d. \(-16\) [Check]
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