
Concept explainers
(a)
The value of lower estimate.
(a)

Answer to Problem 29E
The upper estimate is 60.9 tons and lower estimate is 46.8 tons.
Explanation of Solution
Given information:
Formula used:
The right-hand endpoint rectangular approximation method is used.
Calculation:
RRAM means right-hand endpoint rectangular approximation method. The name suggests the choice we made when determining the heights of the approximating rectangles, hence evaluated the function at the right-hand endpoint of each subinterval.
Since the release rate of pollutants is increasing, an upper estimate is given by using the data for the end of each month (right rectangles), assuming that new scrubbers were installed before the beginning of January.
These values tonnage of pollutants at the end of month,
LRAM means left-hand endpoint rectangular approximation method. The name suggests the choice we made when determining the heights of the approximating rectangles, hence evaluated the function at the left-hand endpoint of each subinterval.
A lower estimate is given by using the data for the end of the previous month. The no data for the beginning of January, but those pollutants were released at the new-scrubber rate of 0.5 ton/day. 80 we may use this value,
Conclusion:
The upper estimate is 60.9 tons and lower estimate is 46.8 tons.
(b)
The month that 125 tons will have been released into the atmosphere.
(b)

Answer to Problem 29E
A total of 125 tons will have been released into the atmosphere by the end of October.
Explanation of Solution
Given information:
Formula used:
The left-hand endpoint rectangular approximation method is used.
Calculation:
Using LRAM, the amount of pollutants released by the end of October is
So, a total of 125 tons will have been released into the atmosphere by the end of October.
Conclusion:
A total of 125 tons will have been released into the atmosphere by the end of October.
Chapter 6 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
University Calculus: Early Transcendentals (4th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Elementary Statistics
Thinking Mathematically (6th Edition)
Pre-Algebra Student Edition
- + Find the first five non-zero terms of the Taylor series for f(x) = sin(2x) centered at 4π. + + + ...arrow_forward+ + ... Find the first five non-zero terms of the Taylor series for f(x) centered at x = 4. = 1 x + + +arrow_forwardFind the interval and radius of convergence for the given power series. n=0 (− 1)" xn 7" (n² + 2) The series is convergent on the interval: The radius of convergence is R =arrow_forward
- Find the interval and radius of convergence for the given power series. n=1 (x-4)" n( - 8)" The series is convergent on the interval: The radius of convergence is R =arrow_forwardFind the interval and radius of convergence for the given power series. n=0 10"x" 7(n!) The series is convergent on the interval: The radius of convergence is R =arrow_forwardConsider the electrical circuit shown in Figure P6-41. It consists of two closed loops. Taking the indicated directions of the currents as positive, obtain the differential equations governing the currents I1 and I2 flowing through the resistor R and inductor L, respectively.arrow_forward
- Calculus lll May I please have the semicolon statements in the boxes explained and completed? Thank you so mucharrow_forwardCalculus lll May I please have the solution for the example? Thank youarrow_forward4. AP CalagaBourd Ten the g stem for 00 3B Quiz 3. The point P has polar coordinates (10, 5). Which of the following is the location of point P in rectangular coordinates? (A) (-5√3,5) (B) (-5,5√3) (C) (5√3,5) (D) (5√3,-5) 7A 6 2 3 4 S 元 3 داند 4/6 Polar axis -0 11 2 3 4 4 5л 3 Зл 2 11π 6 rectangular coordinates of K? The figure shows the polar coordinate system with point P labeled. Point P is rotated an angle of measure clockwise about the origin. The image of this transformation is at the location K (not shown). What are the (A) (-2,2√3) (B) (-2√3,2) (C) (2,-2√3) D) (2√3,-2) T 2arrow_forward
- AP CollegeBoard 3B Quiz 1. 2. y AP PRECALCULUS Name: od to dove (or) slog mig Test Boc 2л The figure gives the graphs of four functions labeled A, B, C, and D -1 in the xy-plane. Which is the graph of f(x) = 2 cos¹x ? m -3 π y 2- 1 3 (A) A (B) B 2 A B C D D -1- -2- Graph of f -2 -1 3. 2- y' Graph of g 1 2 1 3 y = R 2/01 y = 1 + 1/2 2 3 4 5 y= = 1-777 2 (C) C (D) D Which of the following defines g(x)? The figure gives the graphs of the functions ƒ and g in the xy-plane. The function f is given by f(x) = tan-1 EVES) (A) (A) tan¹x+1 (B) tan¹ x + 1/ (C) tan¹ (2) +1 (D) tan¹() + (B) Vs) a I.arrow_forwardConsider the region below f(x) = (11-x), above the x-axis, and between x = 0 and x = 11. Let x; be the midpoint of the ith subinterval. Complete parts a. and b. below. a. Approximate the area of the region using eleven rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately square units. (Type an integer or decimal.)arrow_forwardRama/Shutterstock.com Romaset/Shutterstock.com The power station has three different hydroelectric turbines, each with a known (and unique) power function that gives the amount of electric power generated as a function of the water flow arriving at the turbine. The incoming water can be apportioned in different volumes to each turbine, so the goal of this project is to determine how to distribute water among the turbines to give the maximum total energy production for any rate of flow. Using experimental evidence and Bernoulli's equation, the following quadratic models were determined for the power output of each turbine, along with the allowable flows of operation: 6 KW₁ = (-18.89 +0.1277Q1-4.08.10 Q) (170 - 1.6 · 10¯*Q) KW2 = (-24.51 +0.1358Q2-4.69-10 Q¹²) (170 — 1.6 · 10¯*Q) KW3 = (-27.02 +0.1380Q3 -3.84-10-5Q) (170 - 1.6-10-ºQ) where 250 Q1 <1110, 250 Q2 <1110, 250 <3 < 1225 Qi = flow through turbine i in cubic feet per second KW = power generated by turbine i in kilowattsarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





