×
×

# Searchlight problem—narrow beam A searchlight is 100 in ISBN: 9780321570567 2

## Solution for problem 42E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendentals | 1st Edition

4 5 1 279 Reviews
16
5
Problem 42E

Searchlight problem—narrow beam A searchlight is 100 in from the nearest point on a straight highway (see figure). As it rotates, the searchlight casts a horizontal beam that intersects the highway in a point. If the light revolves at a rate of ? /6 rad/s, find the rate at which the beam sweeps along the highway as a func ? tion of ??. For what? alue of ?? is this rate minimized?

Step-by-Step Solution:

Solution 42E Step 1: Given data S is the searchlight,P is the person and triangle QPS is the right angled triangle The searchlight rotates when the person is 100 meters from the searchlight Angular velocity of the searchlight, dt = 6ad/sec Step 2: From the given data we can draw the following figure

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321570567

Unlock Textbook Solution