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1) Find the values of c that satisfy Rolle’s Theorem for on the interval [-1,1]

Q U I Z. 1) Find the values of c that satisfy Rolle’s Theorem for on the interval [-1,1] 2) Find the absolute maximum and minimum values of on the interval [-3,3]

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1) Find the values of c that satisfy Rolle’s Theorem for on the interval [-1,1]

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  1. QUIZ 1) Find the values of c that satisfy Rolle’s Theorem for on the interval [-1,1] 2) Find the absolute maximum and minimum values of on the interval [-3,3] 3) A rectangle is inscribed in a semicircle, that has a radius of 4, with one side on the semicircle’s diameter. What is the largest area this rectangle can have? D) B) C) A) • min.=-3 B) min.= C) min=-24 D) min.=-.385 • max=3 max= max=24 max=.385 A) 16 B) C) -4 D) 9

  2. A) 750 ft. by 1,000 ft. B)500 ft. by 1,500 ft. C)350 ft. by 2,300 ft. D)750 ft. by 1,500 ft. 4) A rectangular field, bounded on one side by a building, is to be fenced in on the other three sides. If 3,000 feet of fence is to be used, find the dimensions of the largest field that can be fenced in. 5) Find the values of c that satisfy the Mean Value Theorem for on the interval [0,4] 6) Find the point at the relative maximum and the point at the relative minimum of A) B) C) D) A)max.:(4,0) B)no relative maximum C)max:(3,8) D)max:(5,24) min:(3,-27) min:(3,-27) no relative minimum min:(-1,-14)

  3. A) 5in. by 5in. B) 5in. By 3.5in. C) in. by in. D) in. by in. 7) A poster is to contain 100 square inches of picture surrounded by a 4-inch margin at the top and bottom and a 2-inch margin on each side. Find the overall dimensions that will minimize the total area of the poster. 8) Given the position function , find when the particle is speeding up. 9) If the position function of a particle is 0<t<4 , find when the particle is changing direction. A) 2<t<7/2 B) 2<t<7/2 and t>5 C)2<t<3 and t>5 D)4>t>7 A)t= ,3 B)t= /2 C)t= , /2 D)4

  4. 10) Given a function state when it is concave up, concave down, and the points of inflection. • Cocave up: (-3,0)U(2, ) • Concave down: (- ,-3)U(0,2) • Inflection point(s): (-3,189); (0,0); (2, -16) B) Concave up: (- , ) Concave down: never Inflection point(s): none D) Concave up: (- ,0)U(2, ) Concave down: (0,2) Inflection point(s): (2,-16) C) Concave up: (- ,0)U(2, ) Concave down: (0,2) Inflection point(s): (2,0)

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