v The range R of a projectile is R = sin(20) where yo 32 is the initial velocity in feet per second and is the angle of elevation. If yo = 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. Select one: O a. O b. O c. O d. O e. 5186 ft 5623 ft 2811 ft 2593 ft 4568 ft Check

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...
Question
The range \( R \) of a projectile is given by the formula:

\[
R = \frac{{v_0^2}}{32} \cdot \sin(2\theta)
\]

where \( v_0 \) is the initial velocity in feet per second and \( \theta \) is the angle of elevation.

If \( v_0 = 2300 \) feet per second and \( \theta \) is changed from \( 13^\circ \) to \( 14^\circ \), use differentials to approximate the change in the range. Round your answer to the nearest integer.

Select one:
- a. 5186 ft
- b. 5623 ft
- c. 2811 ft
- d. 2593 ft
- e. 4568 ft

[Check]
Transcribed Image Text:The range \( R \) of a projectile is given by the formula: \[ R = \frac{{v_0^2}}{32} \cdot \sin(2\theta) \] where \( v_0 \) is the initial velocity in feet per second and \( \theta \) is the angle of elevation. If \( v_0 = 2300 \) feet per second and \( \theta \) is changed from \( 13^\circ \) to \( 14^\circ \), use differentials to approximate the change in the range. Round your answer to the nearest integer. Select one: - a. 5186 ft - b. 5623 ft - c. 2811 ft - d. 2593 ft - e. 4568 ft [Check]
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