Y x final exammac1114 page 3 of 8 6 25 pts easy

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Final Exam/MAC1114 Page 3 of 8 6. (25 pts.) Easy graphs you must have etched on you neurons... (a) Carefully sketch y = sin(x) through two periods that are symmetric about the origin. Use radian measure and label carefully. (8 pts.) y x (b) Carefully sketch y = sec(x) through two periods that are symmetric about the origin. Use radian measure and label carefully. (9 pts.) y x (c) Carefully sketch y = tan(x) through one period. Use radian measure and label carefully. (8 pts.) y x
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Final Exam/MAC1114 Page 4 of 8 7. (25 pts.) More elementary graphs that should be etched into your neurons... (a) Carefully sketch the graph of y = sin -1 (x). Label very carefully. (8 pts.) y x (b) Carefully sketch the graph of y = cos -1 (x). Label very carefully. (8 pts.) y x (c) Carefully sketch the graph of y = tan -1 (x). Label very carefully. (9 pts.) y x
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Final Exam/MAC1114 Page 5 of 8 8. (25 pts.) Easy graphs for cone-heads ... . (a) Very carefully sketch the graph of the equation y 2 = -4(x-1) below. (8 pts.) y x (b) Very carefully sketch the graph of the equation (1/9)(x + 1) 2 + (1/4)y 2 = 1 below. (8 pts.) y x (c) Very carefully sketch the graph of the equation (x - 1) 2 - y 2 = 1 below. (9 pts.) y x
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Final Exam/MAC1114 Page 6 of 8 9. (15 pts.) Sketch the given curve in polar coordinates. Do
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