(incorrect) 160 kov/h 7. (1 point) Similar to 3.10.22 in Rogawski/Adams. Sioux Falls A laser pointer is placed on a platform that rotates at a rate 140 km/h of 30 revolutions per minute. The beam hits a wall 8 m away, producing a dot of light that moves horizontally along the wall. Let 0 be the angle between the beam and the line through the searchlight perpendicular to the wall. At time t = 0, the police car is 40 km north and the truck is 60 km east of Sioux Falls. Wall Calculate the rate at which the distance between the vehicles is changing at t = 0 minutes. (Use decimal notation. Give your answer to three decimal places.) The rate is = km/h help (decimals) Laser Answer(s) submitted: How fast is this dot moving when 0 = ? The rate is = _ m/min help (deci- (incorrect) mals 9. (1 point) Similar to 3.10.34 in Rogawski/Adams. Answer(s) submitted: Two parallel paths 18 m apart run east-west through the woods. Brooke jogs east on one path at 2 km/h, while Jamail walks west on the otherpath at 3 km/h. If they pass each other at time t = 0 , how far apart are they 7 s later, and how fast is the (incorrect) distance between them changing at that moment? The distance between them at t = 7 is L = _ meters When t = 7, we then have " = _ - m/s 8. (1 point) Similar to 3.10.25 in Rogawski/Adams. Answer(s) submitted: A police car traveling south toward Sioux Falls at 160km/h pursues a truck traveling east away from Sioux Falls, South Dakota, at 140 km/h (See figure below). (incorrect) Generated by OWcBWork, http:/webwork. org, Mathematical Association of AmericaRex Wu S22M171 Assignment 4.1 due 04/01/2022 at 08:00pm MDT 1. (1 point) 5. (1 point) Similar to 4.1.PQ2 in Rogawski/Adams. Similar to 4.1.18 in Rogawski/Adams. Use the Linear Approximation to estimate Af = (12.7) 1/4 - Estimate g(1.2) - 8(1) if g'(1) = 2. (12) 1/4. 8(1.2) - 8(1) = Af ~ Give your answer to at least five decimal places. Answer(s) submitted: (incorrect) Find the actual change Af = 2. (1 point) Give your answer to at least five decimal Similar to 4.1.PQ3 in Rogawski/Adams. places. Estimate f(3.2) if f(3) = 5 and f'(3) = 8. Compute the error in the Linear Approximation. Error = f(3.2) ~ - Give your answer to at least five decimal places. Answer(s) submitted: Answer(s) submitted: (incorrect) 3. (1 point) (incorrect) Similar to 4.1.2 in Rogawski/Adams. 6. (1 point) Use equation (2) from the book to estimate Af = f(7.2) -f(7) Similar to 4.1.23 in Rogawski/Adams. when f (x) => Use the Linear Approximation to estimate Af = e-0.3 - 1. What is f(x)? f(x) = Af~ What is a? a =. Answer(s) submitted: What is Ax? Ax = - Af ~ Give your answer to at least five decimal places. (incorrect) 4. (1 point) Similar to 4.1.11 in Rogawski/Adams. Find the actual change. Use the Linear Approximation to estimate Af = f(2.4) - f(2) Af = Give your answer to at least five decimal for f (x) = 3 places. 1 + x 2 Give your answer to at least five decimal places. Compute the error in the Linear Approximation. Error = Give your answer to at least five decimal places. Find the actual change. Answer(s) submitted: Af Give your answer to at least five decimal places. Answer(s) submitted: (incorrect) (incorrect)Rex Wu S22M171 Assignment 4.4 due 04/11/2022 at 08:00pm MDT Determine the intervals on which the function f(x) = -3x2+ 1. (1 point) 4x - 7 is concave up or down and find the points of inflection. Similar to 4.4.2 in Rogawski/Adams. (Use symbolic notation and fractions where needed. Give your answer as comma separated list. Enter NULL if there are Match each statement with a graph in figure that represents no points of inflection.) company profits as a function of time. Points of inflection: help (fractions) (Use symbolic notation and fractions where needed. Give 1. 2 We're losing money, but not as quickly as before. your answers as intervals in the form (*,*). Use inf for infinity U for combining intervals, and appropriate type of parenthesis "(', "), "[' or "]" depending on whether the interval is open or 2. [2 We're doing well, but our growth rate is leveling off. closed. Enter NULL if interval is empty.) f(x) is concave up when x E - help (intervals) f(x) is concave down when x E - help (intervals) 3. ? We're losing money, and it's getting worse as time goes on. Answer(s) submitted: 4. ? Business had been picking up, but now it's cooling off. (incorrect) 5. ? The outlook is great: The growth rate keeps increase 3. (1 point) ing . Similar to 4.4.15 in Rogawski/Adams. Determine the intervals on which the given function is con- 6. 2 Business had been cooling off, but now it's picking cave up or down and find the points of inflection. up. Let f(x) = xe SX Inflection Point(s): The left interval is and on this interval f is ? The right interval is and on this interval f is |?. Answer(s) submitted: A B C D E F Answer(s) submitted: (incorrect) 4. (1 point) Similar to 4.4.28 in Rogawski/Adams. . . Find the critical points of f(x) and use the Second Deriva- tive Test (if possible) to determine whether each corresponds to (incorrect) a local minimum or maximum. Let f(x) = x4 -2x- + (-5). Please put critical points in AS- 2. (1 point) CENDING order. Similar to 4.4.3 in Rogawski/Adams. (Smallest) Critical Point 1 = is what by the Sec- ond Derivative Test |