APPLIED CALCULUS-WILEYPLUS
6th Edition
ISBN: 9781119267874
Author: Hughes-Hallett
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 6.3, Problem 31P
To determine
(a)
Write the definite
To determine
(b)
Calculate the integral using fundamental theorem of calculus.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Question Help: Message instructor
Question 13
Find the horizontal asymptote of f(x) =
y =
Question Help: Message instructor
8(x+4)(4x-1)
(5 – x)(5 + 2)
Question 14
A population numbers 17,000 organisms initially and grows by 9.9% e
P(t) modeling the grow
Question 12
Let f(x)
=
3x² + 1x-4
3x217x+10
This function has:
1) A y intercept at the point
2). x intercepts at the point(s)
3) Vertical asymptotes at x =
Question Help: Message instructor
Question 13
Let 2x² - 8xy+8y² – 11x + 22y – 21 = 0.
Use partial derivatives to calculate
dy
at the point (1,-3).
dx
Chapter 6 Solutions
APPLIED CALCULUS-WILEYPLUS
Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10P
Ch. 6.1 - Prob. 11PCh. 6.1 - Prob. 12PCh. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Prob. 17PCh. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Prob. 20PCh. 6.1 - Prob. 21PCh. 6.1 - Prob. 22PCh. 6.1 - Prob. 23PCh. 6.1 - Prob. 24PCh. 6.1 - Prob. 25PCh. 6.1 - Prob. 26PCh. 6.1 - Prob. 27PCh. 6.1 - Prob. 28PCh. 6.1 - Prob. 29PCh. 6.1 - Prob. 30PCh. 6.1 - Prob. 31PCh. 6.1 - Prob. 32PCh. 6.1 - Prob. 33PCh. 6.1 - Prob. 34PCh. 6.1 - Prob. 35PCh. 6.1 - Prob. 36PCh. 6.1 - Prob. 37PCh. 6.1 - Prob. 38PCh. 6.1 - Prob. 39PCh. 6.1 - Prob. 40PCh. 6.1 - Prob. 41PCh. 6.1 - Prob. 42PCh. 6.1 - Prob. 43PCh. 6.1 - Prob. 44PCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Prob. 5PCh. 6.2 - Prob. 6PCh. 6.2 - Prob. 7PCh. 6.2 - Prob. 8PCh. 6.2 - Prob. 9PCh. 6.2 - Prob. 10PCh. 6.2 - Prob. 11PCh. 6.2 - Prob. 12PCh. 6.2 - Prob. 13PCh. 6.2 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - Prob. 21PCh. 6.2 - Prob. 22PCh. 6.2 - Prob. 23PCh. 6.2 - Prob. 24PCh. 6.2 - Prob. 25PCh. 6.2 - Prob. 26PCh. 6.2 - Prob. 27PCh. 6.2 - Prob. 28PCh. 6.2 - Prob. 29PCh. 6.2 - Prob. 30PCh. 6.2 - Prob. 31PCh. 6.2 - Prob. 32PCh. 6.2 - Prob. 33PCh. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - Prob. 36PCh. 6.2 - Prob. 37PCh. 6.2 - Prob. 38PCh. 6.2 - Prob. 39PCh. 6.2 - Prob. 40PCh. 6.2 - Prob. 41PCh. 6.2 - Prob. 42PCh. 6.2 - Prob. 43PCh. 6.2 - Prob. 44PCh. 6.2 - Prob. 45PCh. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Prob. 48PCh. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.2 - Prob. 51PCh. 6.2 - Prob. 52PCh. 6.2 - Prob. 53PCh. 6.2 - Prob. 54PCh. 6.2 - Prob. 55PCh. 6.2 - Prob. 56PCh. 6.2 - Prob. 57PCh. 6.2 - Prob. 58PCh. 6.2 - Prob. 59PCh. 6.2 - Prob. 60PCh. 6.2 - Prob. 61PCh. 6.2 - Prob. 62PCh. 6.2 - Prob. 63PCh. 6.2 - Prob. 64PCh. 6.2 - Prob. 65PCh. 6.2 - Prob. 66PCh. 6.2 - Prob. 67PCh. 6.2 - Prob. 68PCh. 6.2 - Prob. 69PCh. 6.2 - Prob. 70PCh. 6.2 - Prob. 71PCh. 6.2 - Prob. 72PCh. 6.2 - Prob. 73PCh. 6.2 - Prob. 74PCh. 6.2 - Prob. 75PCh. 6.2 - Prob. 76PCh. 6.2 - Prob. 77PCh. 6.2 - Prob. 78PCh. 6.2 - Prob. 79PCh. 6.2 - Prob. 80PCh. 6.2 - Prob. 81PCh. 6.2 - Prob. 82PCh. 6.2 - Prob. 83PCh. 6.2 - Prob. 84PCh. 6.2 - Prob. 85PCh. 6.2 - Prob. 86PCh. 6.2 - Prob. 87PCh. 6.2 - Prob. 88PCh. 6.2 - Prob. 89PCh. 6.2 - Prob. 90PCh. 6.2 - Prob. 91PCh. 6.2 - Prob. 92PCh. 6.2 - Prob. 93PCh. 6.2 - Prob. 94PCh. 6.2 - Prob. 95PCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3PCh. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10PCh. 6.3 - Prob. 11PCh. 6.3 - Prob. 12PCh. 6.3 - Prob. 13PCh. 6.3 - Prob. 14PCh. 6.3 - Prob. 15PCh. 6.3 - Prob. 16PCh. 6.3 - Prob. 17PCh. 6.3 - Prob. 18PCh. 6.3 - Prob. 19PCh. 6.3 - Prob. 20PCh. 6.3 - Prob. 21PCh. 6.3 - Prob. 22PCh. 6.3 - Prob. 23PCh. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.3 - Prob. 26PCh. 6.3 - Prob. 27PCh. 6.3 - Prob. 28PCh. 6.3 - Prob. 29PCh. 6.3 - Prob. 30PCh. 6.3 - Prob. 31PCh. 6.3 - Prob. 32PCh. 6.3 - Prob. 33PCh. 6.3 - Prob. 34PCh. 6.3 - Prob. 35PCh. 6.3 - Prob. 36PCh. 6.3 - Prob. 37PCh. 6.3 - Prob. 38PCh. 6.3 - Prob. 39PCh. 6.3 - Prob. 40PCh. 6.3 - Prob. 41PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.4 - Prob. 10PCh. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - Prob. 17PCh. 6.4 - Prob. 18PCh. 6.4 - Prob. 19PCh. 6.5 - Prob. 1PCh. 6.5 - Prob. 2PCh. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 6PCh. 6.5 - Prob. 7PCh. 6.5 - Prob. 8PCh. 6.5 - Prob. 9PCh. 6.5 - Prob. 10PCh. 6.5 - Prob. 11PCh. 6.5 - Prob. 12PCh. 6.5 - Prob. 13PCh. 6.5 - Prob. 14PCh. 6.5 - Prob. 15PCh. 6.5 - Prob. 16PCh. 6.5 - Prob. 17PCh. 6.5 - Prob. 18PCh. 6.5 - Prob. 19PCh. 6.5 - Prob. 20PCh. 6.5 - Prob. 21PCh. 6.5 - Prob. 22PCh. 6.5 - Prob. 23PCh. 6.5 - Prob. 24PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.6 - Prob. 3PCh. 6.6 - Prob. 4PCh. 6.6 - Prob. 5PCh. 6.6 - Prob. 6PCh. 6.6 - Prob. 7PCh. 6.6 - Prob. 8PCh. 6.6 - Prob. 9PCh. 6.6 - Prob. 10PCh. 6.6 - Prob. 11PCh. 6.6 - Prob. 12PCh. 6.6 - Prob. 13PCh. 6.6 - Prob. 14PCh. 6.6 - Prob. 15PCh. 6.6 - Prob. 16PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Prob. 20PCh. 6.6 - Prob. 21PCh. 6.6 - Prob. 22PCh. 6.6 - Prob. 23PCh. 6.6 - Prob. 24PCh. 6.6 - Prob. 25PCh. 6.6 - Prob. 26PCh. 6.6 - Prob. 27PCh. 6.6 - Prob. 28PCh. 6.6 - Prob. 29PCh. 6.6 - Prob. 30PCh. 6.6 - Prob. 31PCh. 6.6 - Prob. 32PCh. 6.6 - Prob. 33PCh. 6.6 - Prob. 34PCh. 6.6 - Prob. 35PCh. 6.6 - Prob. 36PCh. 6.6 - Prob. 37PCh. 6.6 - Prob. 38PCh. 6.6 - Prob. 39PCh. 6.6 - Prob. 40PCh. 6.6 - Prob. 41PCh. 6.6 - Prob. 42PCh. 6.6 - Prob. 43PCh. 6.6 - Prob. 44PCh. 6.6 - Prob. 45PCh. 6.6 - Prob. 46PCh. 6.6 - Prob. 47PCh. 6.6 - Prob. 48PCh. 6.6 - Prob. 49PCh. 6.6 - Prob. 50PCh. 6.6 - Prob. 51PCh. 6.6 - Prob. 52PCh. 6.6 - Prob. 53PCh. 6.6 - Prob. 54PCh. 6.6 - Prob. 55PCh. 6.6 - Prob. 56PCh. 6.6 - Prob. 57PCh. 6.6 - Prob. 58PCh. 6.6 - Prob. 59PCh. 6.6 - Prob. 60PCh. 6.6 - Prob. 61PCh. 6.6 - Prob. 62PCh. 6.6 - Prob. 63PCh. 6.6 - Prob. 64PCh. 6.6 - Prob. 65PCh. 6.6 - Prob. 66PCh. 6.6 - Prob. 67PCh. 6.6 - Prob. 68PCh. 6.7 - Prob. 1PCh. 6.7 - Prob. 2PCh. 6.7 - Prob. 3PCh. 6.7 - Prob. 4PCh. 6.7 - Prob. 5PCh. 6.7 - Prob. 6PCh. 6.7 - Prob. 7PCh. 6.7 - Prob. 8PCh. 6.7 - Prob. 9PCh. 6.7 - Prob. 10PCh. 6.7 - Prob. 11PCh. 6.7 - Prob. 12PCh. 6.7 - Prob. 13PCh. 6.7 - Prob. 14PCh. 6.7 - Prob. 15PCh. 6.7 - Prob. 16PCh. 6.7 - Prob. 17PCh. 6.7 - Prob. 18PCh. 6.7 - Prob. 19PCh. 6.7 - Prob. 20PCh. 6.7 - Prob. 21PCh. 6.7 - Prob. 22PCh. 6.7 - Prob. 23PCh. 6.7 - Prob. 24PCh. 6.7 - Prob. 25PCh. 6.7 - Prob. 26PCh. 6.7 - Prob. 27PCh. 6.7 - Prob. 28PCh. 6.7 - Prob. 29PCh. 6 - Prob. 1SYUCh. 6 - Prob. 2SYUCh. 6 - Prob. 3SYUCh. 6 - Prob. 4SYUCh. 6 - Prob. 5SYUCh. 6 - Prob. 6SYUCh. 6 - Prob. 7SYUCh. 6 - Prob. 8SYUCh. 6 - Prob. 9SYUCh. 6 - Prob. 10SYUCh. 6 - Prob. 11SYUCh. 6 - Prob. 12SYUCh. 6 - Prob. 13SYUCh. 6 - Prob. 14SYUCh. 6 - Prob. 15SYUCh. 6 - Prob. 16SYUCh. 6 - Prob. 17SYUCh. 6 - Prob. 18SYUCh. 6 - Prob. 19SYUCh. 6 - Prob. 20SYUCh. 6 - Prob. 21SYUCh. 6 - Prob. 22SYUCh. 6 - Prob. 23SYUCh. 6 - Prob. 24SYUCh. 6 - Prob. 25SYUCh. 6 - Prob. 26SYUCh. 6 - Prob. 27SYUCh. 6 - Prob. 28SYUCh. 6 - Prob. 29SYUCh. 6 - Prob. 30SYUCh. 6 - Prob. 31SYUCh. 6 - Prob. 32SYUCh. 6 - Prob. 33SYUCh. 6 - Prob. 34SYUCh. 6 - Prob. 35SYUCh. 6 - Prob. 36SYUCh. 6 - Prob. 37SYUCh. 6 - Prob. 38SYUCh. 6 - Prob. 39SYUCh. 6 - Prob. 40SYUCh. 6 - Prob. 41SYUCh. 6 - Prob. 42SYUCh. 6 - Prob. 43SYUCh. 6 - Prob. 44SYUCh. 6 - Prob. 45SYUCh. 6 - Prob. 46SYUCh. 6 - Prob. 47SYUCh. 6 - Prob. 48SYUCh. 6 - Prob. 49SYUCh. 6 - Prob. 50SYUCh. 6 - Prob. 51SYUCh. 6 - Prob. 52SYUCh. 6 - Prob. 53SYUCh. 6 - Prob. 54SYUCh. 6 - Prob. 55SYUCh. 6 - Prob. 56SYUCh. 6 - Prob. 57SYUCh. 6 - Prob. 58SYUCh. 6 - Prob. 59SYUCh. 6 - Prob. 60SYUCh. 6 - Prob. 61SYUCh. 6 - Prob. 62SYUCh. 6 - Prob. 63SYUCh. 6 - Prob. 64SYUCh. 6 - Prob. 65SYUCh. 6 - Prob. 66SYUCh. 6 - Prob. 67SYUCh. 6 - Prob. 68SYUCh. 6 - Prob. 69SYUCh. 6 - Prob. 70SYUCh. 6 - Prob. 1FOPCh. 6 - Prob. 2FOPCh. 6 - Prob. 3FOPCh. 6 - Prob. 4FOPCh. 6 - Prob. 5FOPCh. 6 - Prob. 6FOPCh. 6 - Prob. 7FOPCh. 6 - Prob. 8FOPCh. 6 - Prob. 9FOPCh. 6 - Prob. 10FOPCh. 6 - Prob. 11FOPCh. 6 - Prob. 12FOPCh. 6 - Prob. 13FOPCh. 6 - Prob. 14FOPCh. 6 - Prob. 15FOPCh. 6 - Prob. 16FOPCh. 6 - Prob. 17FOPCh. 6 - Prob. 18FOPCh. 6 - Prob. 19FOPCh. 6 - Prob. 20FOPCh. 6 - Prob. 21FOPCh. 6 - Prob. 22FOPCh. 6 - Prob. 23FOPCh. 6 - Prob. 24FOPCh. 6 - Prob. 25FOPCh. 6 - Prob. 26FOPCh. 6 - Prob. 27FOPCh. 6 - Prob. 28FOPCh. 6 - Prob. 29FOPCh. 6 - Prob. 30FOPCh. 6 - Prob. 31FOPCh. 6 - Prob. 32FOPCh. 6 - Prob. 33FOPCh. 6 - Prob. 34FOPCh. 6 - Prob. 35FOPCh. 6 - Prob. 36FOPCh. 6 - Prob. 37FOPCh. 6 - Prob. 38FOPCh. 6 - Prob. 39FOPCh. 6 - Prob. 40FOPCh. 6 - Prob. 41FOPCh. 6 - Prob. 42FOPCh. 6 - Prob. 43FOPCh. 6 - Prob. 44FOPCh. 6 - Prob. 45FOPCh. 6 - Prob. 46FOPCh. 6 - Prob. 47FOP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Question 14 3 pts 1 Details A population numbers 17,000 organisms initially and grows by 9.9% each year. Find a formula for a function P(t) modeling the growth of the population. P =arrow_forwardLet -3xyz = e². Use partial derivatives to calculate მჯ მ and მუ მყ and enter your answers as functions of x, y & z. მჯ მ მz მყarrow_forwardLet w(x, y, z) = x² + y² + z² where x = sin(-3), y = cos(−8t), z = e5t. Calculate dw dt dx dy dz by first finding & and using the chain rule. dt' dt dtarrow_forward
- z = x²+xy³, x = uv²+w³, y=u+vew Əz then find: when u = −3, v = 2, w = 0 მოarrow_forwardLet z(x, y) = -3x² + 8y² where x = 4s + 2t & y = −5s - 8t. Calculate მ მ მე მყ მეთ მყ & by first finding and using the chain rule. მე Ət მs’მვ’მt Itarrow_forwardFind the differential of the function f(x,y) = 3xe² at the point (3, 4) using Ax = 0.3 and Ay = −0.2 dz = Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 placesarrow_forward
- Let z(x, y) = xºy where x = t³ & y = tº. dz dx dy Calculate by first finding & and using the chain rule. dt dt dtarrow_forwardLet x(x, y) = −6e² sin(y) where x = ƒ³ & y = 5πt. dz dx dy Calculate by first finding & and using the chain rule. dt dt dtarrow_forwardCalculate sin(10y(2)) where y is the solution of 4.149 12x²y" + 23xy' + 2y : - x such that y(1) = 1, y′(1) = 0, by finding two solutions to the homogeneous equation of the form x and then using the method of variation of parameters. -0.842 0.035 -0.708 -0.109 0.226 0.092 -0.377 -0.274arrow_forward
- A New Heating System A homeowner wants to replace their old heating system. Energy is measured in kilowatt-hours (kWh). It takes about 11,700 kWh of energy to heat the house for the winter. The current heating system uses natural gas and is 60% efficient, which means that for every 100 kWh of natural gas it uses, it produces 60 kWh of heat. With the homeowner's current system, it costs $975 to heat the house. Assume that natural gas costs $0.05/kWh and electricity costs $0.21/kWh. The homeowner also has an air conditioner that uses 2,500 kWh of electricity per year and produces 290 kWh of cooling for every 100 kWh it uses. They also have a water heater that uses 4,300 kWh of electricity per year and produces 90 kWh of heat for every 100 kWh it uses. These systems could also be replaced if there is a cheaper option, but it isn't necessary. Here are three other types of heating systems the homeowner could replace their current system with: • A new furnace which also runs on natural gas…arrow_forwardFind a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function f(x, y, z) = In -4x -5y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal placesarrow_forwardFind the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3 and Ay = 0.05. dz = Now find Az and compare it to your answer above Ax= Hint: If entering a decimal, round to at least 5 placesarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Intermediate Algebra
Algebra
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY