×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 28e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 28e

×

# Approximating changes Approximate the change in the ISBN: 9780321570567 2

## Solution for problem 28E Chapter 4.5

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 1 238 Reviews
17
4
Problem 28E

Approximating changes Approximate the change in the magnitude of the electrostatic force between two charges when the distance between them increases from ?r? = 20 m to r ? ? = 21 m (?F?(?r?) = 0.01/r2).

Step-by-Step Solution:
Step 1 of 3

Solution 28E STEP 1 According to the approximation formula we can write f(x + x) f(x) = f(x).x f = f x).x, Where f is the function,x is the variable and x is the change in x. STEP 2 Therefore according to this question, we have to approximate the change in the magnitude of the electrostatic force between 2 charges when the distance between them increases from r=20m to r=21m F(r) = 0.01 r STEP 3 The electrostatic force between 2 charges with r as the distance between them is given by F(r) = 0.01 F (r) = 2 × 0.01= 0.02 r2 r r3 Thus according to the equation ,we write F = F (r.r......................(1) Here r=20 m and r = 21 20 = 1m (1) 0.02 F = F (rr = 203 × 1 = 0.0000025 F = 0.0000025m 3 Thus the change in F , F = 0.0000025m 3

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

Unlock Textbook Solution