Getting a pole on a bus. For his 13th birthday, Adam was allowed to travel down to Sarah Sporting Goods store to purchase a brand new fishing pole. With great excitement and anticipation, Adam boarded the bus on his own and arrived at Sarah’s store. Although the collection of fishing poles was tremendous, there was only one pole for Adam and he bought it: a five- foot, one-piece fiberglass “Trout Troller 570” fishing pole. When Adam’s bus arrived, the driver reported that Adam could not board the bus with the fishi ng pole. Objects longer than four feet were not allowed on the bus. In tears, Adam remained at the bus stop holding his beautiful five-foot Trout Troller. Sarah, seeing the whole ordeal, rushed out and said, “Don’t cry, Adam! We’ll get your fishing pole on the bus!” Sure enough, when the same bus and the same driver returned, Adam boarded the bus with his fishing pole and the driver welcomed him aboard with a smile. How was Sarah able to have Adam board the bus with his five-foot fishing pole without breaking the bus line rules and without cutting or bending the pole?
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Probability And Statistical Inference (10th Edition)
Elementary Statistics (13th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- 18.9. Let denote the boundary of the rectangle whose vertices are -2-2i, 2-21,2+i and -2+i in the positive direction. Evaluate each of the following integrals: L₁ = 2- (a). dz, (b). (d). ₁ = 22+2 [ dz, (e). √, z COS 2 dz dz, (c). L (2z+1)2dz, z(z+1)' (1). [e² si 1 sin z+ dz. (22+3)2arrow_forwardQ1: For, 0 <|z| < 1, evaluate the following integral where g is ana 9(5) inside and on the unit circle C: a) Sc - α) δε 915 αξί b) Sc d. -1/2 Llc functionarrow_forward纟 W₂ Find S-FX SB.MXarrow_forward
- Q4: Find the value of fydz, where y is given in the figure. A B 2arrow_forward4. The revenue (in thousands of dollars) from producing x units of an item is R(x)=8x-0.015 x². a) Find the average rate of change of revenue when the production is increased from 1000 to 1001 units.arrow_forwardMATH 122 WORKSHEET 3 February 5, 2025 . Solve the following problems on a separate sheet. Justify your answers to earn full credit. 1. Let f(x) = x² - 2x + 1. (a) Find the slope of the graph of y = f (x) at the point P = (0,1) by directly evaluating the limit: f'(0) = lim ( f(Ax) - f(0) Ax Ax→0 (b) Find the equation of the tangent line 1 to the graph of ƒ at P. What are the x and y intercepts of 1 ? (c) Find the equation of the line, n, through P that is perpendicular to the tangent line l. (Line n is called the normal line to the graph of f at P.) (d) Sketch a careful graph that displays: the graph of y = f (x), its vertex point, its tangent and normal lines at point P, and the x and y intercepts of these lines. Bonus: Find the coordinates of the second point, Q, (QP), at which the normal line n intersects the graph of f. 2. A rock is thrown vertically upward with an initial velocity of 20 m/s from the edge of a bridge that is 25 meters above a river bed. Based on Newton's Laws of…arrow_forward
- 1 If ye y = sin x, find dy/dx and dy/dx² at (0, 0).arrow_forward3. Use the graph for problem #35, p175 to answer the questions. The average price (in cents) per gallon of unleaded gasoline in the United States for the years 2010 to 2019 is shown in this chart. Find the average rate of change per year in the average price per gallon for each time period. Source: U.S. Energy Information Administration. a) 2010 to 2013 b) 2012 to 2018 c) 2014 to 2019arrow_forward4. Researchers at Iowa State University and the University of Arkansas have developed a piecewise function that can be used to estimate the body weight (in grams) of a male broiler during the first 56 days of life according to W(t)=48+3.64t+0.6363²+0.00963 t³ if 1St≤28, -1004+65.8t if 28arrow_forward3. Given the function h(x)=(x²+x-12 if x≤1 3-x if x>1' a) Graph the function h(x). Make the graph big enough to be easily read using the space below. Be sure to label all important aspects of the graph. b) Find all values of x where the function is discontinuous. c) Find the limit from the left and from the right at any values of x found in part b.arrow_forward2. Find the instantaneous rate of change for each function f(x)=2x²-x+3 at x=0..arrow_forward4x-3 2. Determine the interval over which the function is continuous. x+4arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL