A bee with velocity vector r'(t) starts out at (−4, 0, 5) at t = 0 and flies around for 5 seconds. Where is the bee located at time t = 5 if the integral from 0 to 5 of r'(u)du = 3?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A bee with velocity vector r'(t) starts out at (−4, 0, 5) at t = 0 and flies around for 5 seconds. Where is the bee located at time t = 5 if the integral from 0 to 5 of r'(u)du = 3?

**Problem Statement:**

A bee with velocity vector \(\mathbf{r'}(t)\) starts out at \((-4, 0, 5)\) at \(t = 0\) and flies around for 5 seconds. Where is the bee located at time \(t = 5\) if \(\int_{0}^{5} |\mathbf{r'}(t)| \, dt = 3\)?

**Options:**
A) \(\langle -4 + 3, 0 + 3, 5 + 3 \rangle\)

B) \(\langle -4 + 3, 0 + 3, 5 + 3 \rangle\)

C) \((3, 0, 7)\)

D) Not enough information
Transcribed Image Text:**Problem Statement:** A bee with velocity vector \(\mathbf{r'}(t)\) starts out at \((-4, 0, 5)\) at \(t = 0\) and flies around for 5 seconds. Where is the bee located at time \(t = 5\) if \(\int_{0}^{5} |\mathbf{r'}(t)| \, dt = 3\)? **Options:** A) \(\langle -4 + 3, 0 + 3, 5 + 3 \rangle\) B) \(\langle -4 + 3, 0 + 3, 5 + 3 \rangle\) C) \((3, 0, 7)\) D) Not enough information
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