Rex Wu S22M171 Assignment PQ PreReqMastery_Optional due 02/10/2022 at 07:00am MST Answer(s) submitted: 1. (1 point) If you rewrite (5arc)2 - into the form ban cm, then what are the values of b, n and m? b = incorrect) m= 6. (1 point) Answer(s) submitted: If f(x) = x2+3, then what does f(a + 2) equal? f(a + 2) =_ Answer(s) submitted: (incorrect) 2. (1 point) (incorrect) If 23-x. 42-1 = 16 , then what is x? x = 7. (1 point) Answer(s) submitted: Suppose f(x) = x2 - 4x + 4 and g(x) = 2x -3. Then what does g(f(2)) - f(8(2)) equals? (incorrect) 8 (f(2)) -f(8(2)) Answer(s) submitted: 3. (1 point) If Vi Vt n = (incorrect) Answer(s) submitted: 8. (1 point) (incorrect) For what value of c is 2x - 3cy = 10 parallel to y = 5x + 2? 4. (1 point) Perform the indicated operations. Express your c = answer in reduced form. Answer(s) submitted: (incorrect) x - 3 + x + 3 9. (1 point) Determine whether there exists a constant c such that the line x+ cy = 1 Answer(s) submitted: If there is no such c, please type dne. (a) Has slope 4. c = (b) Passes through (3,1). c= (incorrect) (c) Is horizontal. c = 5. (1 point) Let x # y. Simplify the following. Express your (d) Is vertical. c = answer in reduced form. Answer(s) submitted: x- xy y - x (incorrect)Consider the jack in as shown, use the Law of Cosines to find the length of S when 0 = 60. S = _feet. Answer(s) submitted: 10 ft 3 fi (incorrect) 26. (1 point) An auditorium with a flat floor has a large flat panel televi- Law of cosines : c2 = a2 + b2 - 2abcos(y) sion on one wall. The lower edge of the television is 3 feet above the floor, and the upper edge is 10 feet above the floor. Express 0 in terms of x. 0 = Answer(s) submitted: (incorrect) 24. (1 point) - 100 m -|- Surveyors are trying to determine the height of a hill. They have measured the angles of elevation of the top of the hill from 0,8 m two points 100 meters apart. Find the height h. h = Answer(s) submitted: A (incorrect) 25. (1 point) m The efficiency of a solar panel can be increased by 'tracking the sun' much as the leaves of green plants do. The solar array shown in the illustration is kept perpendicular to the rays of sun by means of a hydraulic jack DE. To what length S must the piston be extended to keep the ar- ray perpendicular to the sun's rays when the sun is at an angle 8 ft of o = 45 degrees above the horizon? 4 ft S = Answer(s) submitted: 6 ft (incorrect) Generated by @WeB Work, http:/webwork.maa.org, Mathematical Association of America$22M171 Rex Wu Assignment PQ Exam4_Optional due 05/10/2022 at 08:00pm MDT 1. (1 point) 2. (1 point) A popcorn box was created from a 12" by 12 " square with The bottom of the legs of a three-legged table are the ver- the finished box shown below. tices of an isosceles triangle with sides 5,5,6. The legs are to be braced at the bottom by three wires in the shape of a Y. 3 Vx2 + 32 Vx2 + 32 4- x x/2 12-X What is the minimum length of wire needed? Show it is a minimum. Answer(s) submitted: (incorrect) 3. (1 point) An architect plans to build a rectangular window under a arch that is a semi-circle. Find the maximum area of a rectangle inscribed in semi-circle of radius r. 6-X X Max area is Answer(s) submitted: a, Express the volume of the box, V, as a function of x. V( x) = (incorrect) b. What is value of x maximizes the Volume? 4. (1 point) x = A person in a rowboat two miles from the nearest point on a straight shoreline wishes to reach a house six miles farther Answer(s) submitted: down the shore. If the person can row at a rate of 3 mi/h and walk at a rate of 5 mi/h, find the least amount of time required to reach the house. How far from the house should the person (incorrect) land the rowboat