×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 13e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 13e

×

# Estimations with linear approximation. Use linear

ISBN: 9780321570567 2

## Solution for problem 13E 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 1 292 Reviews
19
2
Problem 13E

Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error.

1 / 203

Step-by-Step Solution:
Step 1 of 3

Solution 13E STEP 1 Linear approximation is a method of estimating the value of a function,f(x),near a point x=a,using the formula L(x) = f(a)+f (a)(xa) STEP 2 1 Here,let f(x) = x ;and choose a=200 We get f (x) = x2 f(a) = 200 = 0.005and f (a) = 12 =0.000025 200 Therefore the Linear approximation of the function,f(x),near a point x=a, is L(x) = f(a)+f (a)(xa) = 0.0050.000025(x200) = 0.0050.000025x+0.005 = 0.010.000025x L(x) = 0.010.000025x STEP 3 According to the question 1 = 1 = f(203) x 203 f(203) L(203) = 0.010.000025×203 = 0.004925 Therefore 1 0.004925 203

Step 2 of 3

Step 3 of 3

## Discover and learn what students are asking

Calculus: Early Transcendental Functions : Conics, Parametric Equations, and Polar Coordinates
?In Exercises 1–6, match the equation with the correct graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).]

Calculus: Early Transcendental Functions : Riemann Sums and Definite Integrals
?In Exercises 3–8, evaluate the definite integral by the limit definition. $$\int_{-1}^{1} x^{3} d x$$

Statistics: Informed Decisions Using Data : Introduction to the Practice of Statistics
?____________ are the characteristics of the individuals of the population being studied

Statistics: Informed Decisions Using Data : Inference about Measures of Central Tendency
?Write a paragraph that describes the logic of the test statistic in a two-tailed sign test.

#### Related chapters

Unlock Textbook Solution