   Chapter 8.5, Problem 57E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Meteorology The average monthly precipitation P (in inches) for Webster, South Dakota, can be modeled by P = 1.58   cos ( 0.56 t − 3.76 ) + 2.19 , 0 ≤ t ≤ 12 where t is the time (in months), with t = 1 corresponding to January. Find the total annual precipitation for Webster. (Source: National Climatic Data Center)

To determine

To calculate: The total annual precipitation for Webster, if the average monthly precipitation P in inches is given as P=1.58cos(0.56t3.76)+2.19 for 0t12.

Explanation

Given Information:

The average monthly precipitation P in inches is given as P=1.58cos(0.56t3.76)+2.19 for 0t12.

Formula used:

The formula for definite integral of abcosnudu.

abcosnudu=[sinnun]ab

The formula for integral of abdu.

abdu=[u]ab

Calculation:

Consider the average monthly precipitation for Webster.

P=1.58cos(0.56t3.76)+2.19

The total annual precipitation for Webster is calculated by integrating the average monthly precipitation for Webster for t=0 to t=12, which can be mathematically written as,

012Pdt=012[1.58cos(0.56t3.76)+2.19]dt

Rewrite the above integral,

012Pdt=0121.58cos(0.56t3.76)dt+0122

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Evaluate the expression sin Exercises 116. (2)3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Evaluate the integral. 01(1+r)3dr

Single Variable Calculus: Early Transcendentals, Volume I

#### In Exercises 2336, find the domain of the function. 32. f(x)=1x2+x2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### True or False: f(t) is used to measure the average rate of change of f with respect to t.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 