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Chapter 1 1 The Owner 20 Room Motel Which 70
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The “current ratio” of a company is the ratio of its current assets to its current liabilities. Suppose […]
Chapter 1 2 Last Year they Sold Three Times Many Ranch
The 1996 tax brackets for a single person are given in the following table. Taxable Income 1 Tax T 1. 0 – 24,000 15% (I) 2. 24,000 – 58,150 28% (I – 24,000) + 3600 3. 58,150 – 121,300 31% […]
Chapter 1 3 Write the first five terms of the arithmetic sequence
Write the first five terms of the geometric sequence with the given first term a and common ratio r. 209) a =4; r =5 209) A) 4, 9, 14, 19, 24 B) 20, 100, 500, 2500, 12,500 C) 4, 20, […]
Chapter 10 1 This Function Tells The Amount Paper Money
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The solution of x3–8×2> 0 is 1) A) x< 0, x> 8. B) x> 0. C) x< 0. […]
Chapter 10 2 The Price The Product Should Always Positive
91) By looking at the graph, give the following limits. (a) lim x–1+ f(x) (b) lim x–1– f(x) 91) 92) Find: lim x 7. If the limit does not exist, so state or use the symbol or – if […]
Chapter 10 3 this makes sense because the price of a product is never negative
183) Find: lim x 0 2 x. If the limit does not exist, so state or use the symbol or – if appropriate. 183) 184) The demand function for a certain product is given by p(x) =50,000 (x+4)2 where […]
Chapter 11 1 Am Rewrite This Function Sothat All Terms
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Suppose the demand function for a manufacturer’s product is given by p=400 q+ 10, where p represents the […]
Chapter 11 2 Pt Find The Equation The Tangent Line
110) The path of a projectile is given by y=12x+7×3+ 1 5x. Find an equation of the tangent to this curve at x= 1. 110) 111) Find dz ds where z= 5u7+u3+ 1; u=7s2– 8s. 111) Answer: 7 5u2/5 +3 […]
Chapter 11 3 If the velocity function is given by
239) If the velocity function is given by V(x) =7×2– 22.63, find an equation of the tangent line to the graph of V(x) at (3.51, 63.6107). Use your graphing calculator to verity that the graph of V(x) and the tangent […]
Chapter 12 1 Suppose The Number Fleas In Thousands Given
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) If y= ln 2x+ 7, then y’ = 1) A) (2x+7)3. B) 1 2x+ 7 . C) 2 […]
Chapter 12 2 Determine The Point Elasticity answer1of The Demand Equation
114) Use your graphing calculator to graph the equation y=x5+ 3×4+x3+x2+x– 1. Zoom in on the graph to approximate the roots of the equation. Use Newton’s method to verify your results. 114) 115) If y=ln x ln x2, then find […]
Chapter 13 1 Concave Down 1inflection Point 1 2f 2answer
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The demand equation for a monopolist’s product is p=500 q, where p is the price per unit (in […]
Chapter 13 2 Based Your Answers Parts A And B
80) Find all the critical values of y=x3–x2–x+ 2. 80) 81) The revenue equation for a company is given by R(x) = 1296x– 0.12×3. Determine when relative extrema occur on the interval (0, ). 81) Answer: relative maximum when x= […]
Chapter 13 3 Find the intervals where the graph of y=f(x) is concave
157) If C= 4x– 4×2+x3 is a cost function, sketch the graph of this function with the aid of intercepts, symmetry, and the first–derivative test. 157) 158) The cost equation for a company is C(x) =x3+ 5×2– 8x+ 250. Use […]
Chapter 14 1 the amount the culture grew over the first four hours
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) A manufacturer of a product has a marginal revenue function given by dr dq =200 + 70q – […]
Chapter 14 2 Find the cost function if fixed costs are $100
73) Find the indefinite integral –7 (3×5)2dx. 73) 74) Determine: (x3–x+ 1)(x4– 2×2+ 4x)–5dx 74) Answer: –(x4– 2×2+ 4x)–4 16 +C Explanation: 75) Suppose f(x) = x 5 et2–et et+tdt, then find f’(x) 75) Answer: ex2–ex ex+x […]
Chapter 14 3 Vx 100 10x Where The Number Weeks
209) Suppose the rate of savings in a country is given by dS dt = 5.1et + 400t2 + 6000, where t is the time in years, and S is the amount of money saved in billions of dollars. Find […]
Chapter 14 4 A surveyor measured the length of a piece of
310) Determine: (7x+2)4dx 310) 311) Use the trapezoidal rule with n= 4 to estimate the value of 2 0 x2dx 311) Answer: 11 4 Explanation: 312) Suppose that in the United States the rate of change of the […]
Chapter 15 1 explanation 45 Find The Average Value The Function
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) 2 1 2x+ 15 x2+ 5xdx = 1) A) 2 ln(3) – 3 ln(7) – ln(8) B) ln(7) […]
Chapter 15 2 Systolic blood pressure is the blood pressure in a
86) Solve the differential equation y’ =ex y if y> 0. 86) 87) Evaluate the following integral by using partial fractions x2 (x–1)2dx 87) Answer: x+ 2 ln x– 1 –1 x– 1 +C Explanation: 88) The rate of […]
Chapter 16 1 Suppose Uniformly Distributed Over The Interval
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The life (in hours) of light bulbs of a certain brand is normally distributed with mean 1200 and […]
Chapter 17 1 Determine Both The Marginal Productivity
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) If s3t3+ 2r2–s2= 1, then t r= 1) A) 31 – 2r2+s2 s3. B) 4r. C) r– 3s2 […]
Chapter 17 2 the surface area of a 105-poundperson who is 64 inches
85) If z= (2x–y)e7x2, find (a) z y and (b) z x(1, 0) . 85) 86) Determine the critical points of f(x, y) = 2xy – 3x–y–x2– 3y2 and also determine by the second–derivative test whether each point corresponds to […]
Chapter 2 1 What is The Production Value When 2401 Hours
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) If f(x) =x2+ 3x– 8, then f(x+h) –f(x) h= 1) A) 0. B) 4x+ 3h– 2. C) h2+ […]
Chapter 2 2 The Perimeter Square Depends The Length Its
74) If g(s) =3 s– 2 –s, find: (a) the domain (b) g(0) (c) g(3) (d) g(–4) (e) g1 s 74) 75) If f(x) =x+ 4 and g(x) =x3+ 5, find: (a) f(g(x)) and (b) g(f(x)). 75) Answer: (a) x3+ […]
Chapter 2 3 She drove home from the city at a constant rate of
151) Sketch a graph of f(x) =x+ 4 + 7 151) 152) Use a graphing calculator to find all real roots of the given function. Round answers to two decimal places, if necessary: f(x) =x3– 8x – 3 152) Answer: […]
Chapter 2 4 since the function gives the seconds since january 1
227) Sketch a graph of f(x) =1 x+ 3 227) 228) Find the domain of the function: F(x) =2x+ 3 228) Answer: x–3 2 Explanation: 229) Find the domain of the function f(x) = 6. 229) Answer: all real numbers […]
Chapter 2 5 the perimeter gets scaled by a factor
Answer Key Testname: C2 73 126) 127) 1 2, 0 ; 0, –7 2 128) g(x– 1) =x + 1 x– 6 129) (a) 4f(I0) (b) It quadruples response. 130) Order: 1. Move 5 right 2. Reflect about the x–axis […]
Chapter 3 1 Use Graphing Calculator Graph The Resulting Equation
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Solve the following system for x, y, and z. (Answers are given in that order) x+y+z= 2 x […]
Chapter 3 2 The Weight Sheep Starting The Diet Was
90) Sketch the graph of 5(x+ 3) – 3(y– 1) = 0. 90) 91) Find the slope of the line passing through the points (5, –3) and (2, –1). 91) Answer: –2 3 Explanation: 92) Show that the points A(–1, […]
Chapter 3 3 Suppose that the supply and demand equations for a certain product
186) Graph the function y=f(x) =–x2+ 5 – 4 and indicate the coordinates of the vertex and intercepts. 186) 187) Solve the following system algebraically: x–z=14 y+z=21 x –y+z= – 10 187) Answer: x= 13, y= 22, z= – 1 […]
Chapter 4 1 Graph 45b Find The Domain Answer Ab
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) If ln e5x–4= 6, then x= 1) A) 1. B) 2. C) ln 4 5. D) e4/5. E) […]
Chapter 4 2 After How 129 many Years Will The Population Double answer
91) Solve for x: 2log2x+log25= 7 91) 92) Assume your $2000 investment,which is guaranteed to triple every decade, has a one time $10 service charge. (a) Make a table of the value of your investment without the service charge at […]
Chapter 4 3 Assume Your Savings Consist 5000 Investment Which
186) Suppose $2000 is invested at 6.5% compounded annually. (a) Find the value of the investment after 5 years. (b) Find the value of the interest which was earned over the first 5 years. 186) 187) Assume that log 3 […]
Chapter 5 1 At an annual rate of 10% compounded continuously
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) If money earns interest at an annual rate of 8% compounded continuously, then the value (in dollars) of […]
Chapter 5 2 A trust fund for a 12-year-old child is being
120) An investment grows from $10,240 to $10,700.80 in one year. If the investment continues to grow at that rate, find the number of years it will take the investment to double. 120) 121) Suppose you have the opportunity to […]
Chapter 6 1 Assume That Each Consumermay Use Some The
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) If A=aij where A is 2 × 2 and aij =i– 2j, then matrix A is given by […]
Chapter 6 2 Vitamin 140 Of 113 the Vitamin And
An air freight company has three types of aircraft which carry three types of cargo. The payload, in tons, is summarized in the table below. Passenger Transport Commuter Mail Medical Freight 2 1 3 4 2 2 1 1 0 […]
Chapter 6 3 The message may be unscrambled with a decoding matrix
Provide an appropriate response. 151) A manufacturer who produces one product is only interested in tracking material costs. What is the order of the matrix he would use? 151) Set up a matrix equation with integer values that is equivalent […]
Chapter 7 1 The Maximum Profit 6750 explanation 19 Sketch The Region
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Maximize Z =x1– 2×2+ 3×3 subject to 2×1+x2+2×310 x1–x2+x38 x1,x2,x30 1) A) 0 B) 10 C) 5 D) […]
Chapter 7 2 A Sequoia Models And Saratoga Models
33) Sketch the region described by the inequalities 2x+y 1 x–y 1 33) 34) Find the dual problem to the following: A company has two different locations to assemble three different models of PCs. The table below summarizes the daily […]
Chapter 8 1 Assume That The Time Ahead Schedule Behind
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The number of ways in which a student can answer an eight–question true–false examination is 1) A) 8 […]
Chapter 8 2 Ten tickets numbered from 1 to 10 are placed in a hat
65) From an urn that contains eight marbles numbered 1 through 8, three marbles are randomly selected in succession and the results observed. Determine the number of sample points in the sample space of this experiment if the marbles are […]
Chapter 9 1 Two Marbles Are Randomly Drawn Insuccession Without
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) If X0=0.5 0.5 is an initial state vector for the transition matrix T=0.4 0.8 0.6 0.2 , compute […]