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CalculusApplied Calculus for the Managerial, Life, and Social Sciences: A Brief ApproachNUCLEAR Plant UTILIZATION The United States is not building many nuclear plants, but the ones it has are running full tilt. The output (as a percent of total capacity) of nuclear plants is described by the equation y = 1.9467 t + 70.082 where t is measured in years, with t = 0 corresponding to the beginning of 1990. a. Sketch the line with the given equation. b. What are the slope and the y-intercept of the line found in part (a)? c. Give an interpretation of the slope and the y-intercept of the line found in part (a). d. If the utilization of nuclear power continued to grow at the same rate and the total capacity of nuclear plants in the United States remained constant, by what year were the plants generating at maximum capacity? Source: Nuclear Energy Institute.BuyFind*arrow_forward*

10th Edition

Soo T. Tan

Publisher: Brooks Cole

ISBN: 9781285464640

Chapter 1.4, Problem 73E

Textbook Problem

**NUCLEAR Plant UTILIZATION** The United States is not building many nuclear plants, but the ones it has are running full tilt. The output (as a percent of total capacity) of nuclear plants is described by the equation

*y* = 1.9467*t* + 70.082

where *t* is measured in years, with *t* = 0 corresponding to the beginning of 1990.

**a.**Sketch the line with the given equation.**b.**What are the slope and the y-intercept of the line found in part (a)?**c.**Give an interpretation of the slope and the y-intercept of the line found in part (a).**d.**If the utilization of nuclear power continued to grow at the same rate and the total capacity of nuclear plants in the United States remained constant, by what year were the plants generating at maximum capacity?

*Source:* Nuclear Energy Institute.

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

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Ch. 1.1 - (3, 6)Ch. 1.1 - (2, 5]Ch. 1.1 - [1, 4)Ch. 1.1 - [65,-12]Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - 272/3Ch. 1.1 - 84/3Ch. 1.1 - (13)0Ch. 1.1 - (71/2)4

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A furniture...Ch. 1.3 - Optimizing Travel Time Towns A, B, C, and D are...Ch. 1.3 - Minimizing Shipping Costs for a Fleet of Autos...Ch. 1.3 - Cost of Laying Cable In the following diagram, S...Ch. 1.3 - Purchasing an HDTV Antenna Ivan wishes to...Ch. 1.3 - Distance Between Two Cruise Ships Two cruise ships...Ch. 1.3 - Distance Between Two Cargo Ships Ship A leaves...Ch. 1.3 - Watching a Rocket Launch At a distance of 4000 ft...Ch. 1.3 - a. Show that the midpoint of the line segment...Ch. 1.3 - A Scavenger Hunt A tree is located 20 yd to the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - The circle with equation kx2 + ky2 = a2 lies...Ch. 1.3 - Let (x1, y1) and (x2, y2) be two points lying in...Ch. 1.3 - Show that an equation of a circle can be written...Ch. 1.4 - What is the slope of a nonvertical line? What can...Ch. 1.4 - Give (a) the point-slope form, (b) the...Ch. 1.4 - Let L1 have slope m1 and L2 have slope m2. 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A point in the plane can be...Ch. 1 - Fill in the blanks. 2. a. The point P(a, 0) lies...Ch. 1 - Fill in the blanks. 3.The distance between two...Ch. 1 - Fill in the blanks. 4. An equation of the circle...Ch. 1 - Fill in the blanks. 5. a. If P1(x1, y1) and P2(x2,...Ch. 1 - Fill in the blanks. 6. If L1 and L2 are...Ch. 1 - Fill in the blanks. 7. a. An equation of the line...Ch. 1 - Fill in the blanks. 8. a. The general form of an...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 14. find the values of x that satisfy...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 58. evaluate the expression. 5. |5 +...Ch. 1 - In Exercises 58, evaluate the expression. 6....Ch. 1 - In Exercises 58, evaluate the expression. 7. |2 ...Ch. 1 - In Exercises 58, evaluate the expression. 8....Ch. 1 - In Exercises 914, evaluate the expression. 9....Ch. 1 - In Exercises 914, evaluate the expression. 10....Ch. 1 - In Exercises 914, evaluate the expression. 11. (3 ...Ch. 1 - In Exercises 914, evaluate the expression. 12....Ch. 1 - In Exercises 914, evaluate the expression. 13....Ch. 1 - In Exercises 914, evaluate the expression. 14....Ch. 1 - In Exercises 1520, simplify the expression. 15....Ch. 1 - In Exercises 1520, simplify the expression. 16....Ch. 1 - In Exercises 1520, simplify the expression. 17....Ch. 1 - In Exercises 1520, simplify the expression. 18....Ch. 1 - In Exercises 1520, simplify the expression. 19....Ch. 1 - In Exercises 1520, simplify the expression. 20....Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2932, find the value(s) of x that...Ch. 1 - In Exercises 2932, find the value(s) of x that...Ch. 1 - |2x 3| 5Ch. 1 - x+1x1=5Ch. 1 - x2 2x 5 = 0Ch. 1 - 2x2 + 8x + 7 = 0Ch. 1 - (t+6)(60)(60t+180)(t+6)2Ch. 1 - 6x2(3x2+2)+14(x+2)Ch. 1 - 23(4x2x21)+3(33x1)Ch. 1 - 2xx+1+4x+1Ch. 1 - Rationalize the numerator: x1x1.Ch. 1 - Rationalize the denominator: x12x.Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - Find an equation of the straight line that passes...Ch. 1 - Find an equation of the straight line that passes...Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Does the point P (1, 54) lie on the line 6x 8y ...Ch. 1 - Given that the point P(2, 4) lies on the line 2x +...Ch. 1 - Sketch the graph of the equation 3x 4y =24.Ch. 1 - Sketch the graph of the line that passes through...Ch. 1 - Find the minimum cost C (in dollars) given that...Ch. 1 - Find the maximum revenue R (in dollars) given that...Ch. 1 - A FALLING Stone A stone is thrown straight up from...Ch. 1 - Year 2009 2010 2011 Sales, y 887 1028 1251...Ch. 1 - Sales or Navigation Systems The estimated number...Ch. 1 - Evaluate: a. 2332 b. [(13)3]1/3Ch. 1 - Simplify: a. 64x639y2x6;x0 b. (a3b4)2(ba)3Ch. 1 - Rationalize the denominator: a. 2x3y b. xx4Ch. 1 - Perform each operation and simplify: a....Ch. 1 - Rationalize the numerator: x+yxyCh. 1 - Factor completely: a. 12x3 10x2 12x b. 2bx 2by +...Ch. 1 - Solve each equation: a. 12x2 9x 3 = 0 b. 3x2 5x...Ch. 1 - Find the distance between (2, 4) and (6, 8).Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Find an equation of the line that has slope 13 and...

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