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Seat 1-1 10 a 5 Seat 1-2 X 4 Z a 60 Y Find a, the arclength of XY in Z. Seat 1-3 40 j 93 a k Seat 1-4 The volumes of two similar cylinders are 32 cm3 and 108 cm 3 . If the surface area of the smaller one is 48 cm 2 , then find a, the surface area of the larger cylinder. Seat 1-5 Each interior angle of a regular polygon measures 156°. Find a, the number of sides of the polygon. Seat 1-6 The points 2, 6 , 4, a , and 14, 2 , are collinear. What must be the value of a? Seat 1-7 111 432 74 4a Given A and B . If matrix B is the result of multiplying matrix A by 87 561 58 374 some scalar constant, k, then what is the value of A? Seat 1-8 Tickets to the school play cost $8 for adults and $5 for students. On closing night, the show sold out the auditorium, which seats 650. If the total sales were $5200, find a, which is the number of student tickets sold. Seat 1-9 Find a, which is the sum of the solutions of 2 x 2 x 10 . Seat 1-10 a 3 5 4 Seat 2-1 Find b if 4b 11 a . Seat 2-2 2 Find b if it represents the horizontal phase shift for f x a x a a . Seat 2-3 Let f x a 2 x 12 and g x 3x 4 . Find b, which is g f 1 . 7 Seat 2-4 Find b if a 4 b Seat 2-5 Let f x 2 2 . ax 2 . Find b, which is the slope of f 1 x . 5 Seat 2-6 Find b if log 2 b a . Seat 2-7 Find b, which is the discriminant of f x 2 x 2 Seat 2-8 Find b if the simplified form of a x 1 . 8 x y 1 i is i . a b b 2i 5 Seat 2-9 Find b, which is the radius of x 2 y 2 4ax 8ay 4 . Seat 2-10 a students are running for 3 different officer positions: President, Secretary, and Treasurer. Find b, which is the number of unique ways that the three positions can be elected. Seat 3-1 Find c if the rectangular form of bcis120 4cis 40 is a ci . Seat 3-2 Find c if c sec b . Seat 3-3 Find c, which is the dot product: 2, b b,3 . Seat 3-4 Find c, which is the smallest positive angle coterminal to b. Seat 3-5 Find c, which is the period of f x b sin bx b b . Seat 3-6 Find c, which is the exact value of tan 1 b . Seat 3-7 If cos 24 3 2 , find c, which is the exact value of cot . and b 2 Seat 3-8 Given XYZ , where x b , m X 40 , and y 5500 . Find c, which is m<Y rounded to the nearest degree. Seat 3-9 Find c, which is the smallest solution of cos 2 2 cos 3 0 on 0,360 . Seat 3-10 b , 70, and 82. Find c, which is the area of the triangle 20 approximated to the nearest whole number. Three sides of a triangle are Seat 4-1 Solve for k if x k dx c . 2 1 Seat 4-2 Evaluate the limit: lim x cx 4 x2 5 . Seat 4-3 4 x c, x 3 Find d f x is continuous x if f x . dx 7, x 3 Seat 4-4 x Find the exact value of f ' c if f x cos . 2 Seat 4-5 The radius of a circle is increasing at a rate of 4.5 cm/min. Exactly how fast is the area increasing when the circumference of the circle is c? Seat 4-6 The velocity of a ball thrown vertically upward from ground level is v(t ) 32t c 2 , where t is the time in seconds and v is the velocity in feet per second. Find the exact time when the ball reaches its maximum height. Seat 4-7 On the day of a child’s birth, a deposit of $2500 is made in a trust fund that pays -4c% interest, compounded continuously. Determine the balance in this account on the child’s 25 th birthday. Seat 4-8 The probability that Sam parks in a no-parking zone and gets a parking ticket is 6%, and the probability that Sam cannot find a legal parking space and has to park in the no-parking zone is c%. On Tuesday, Sam arrives at school and has to park in a no-parking zone. Find the probability that he will get a parking ticket. Round to the nearest whole percent. Seat 4-9 c c Find the average value of f ( x) csc2 x over the interval , 4 2 Seat 4-10 Find the exact value the c th derivative of f ( x) sin x at x 6 . Problem 1. Seat 1 5 3 Seat 2 16 Seat 3 2 2. 5. 15 6. -3 7. 72 4 3 23 107 2 1 3 1 8 40 -2 3. 4. 4 3 147 108 8. 9. 355 1 2 12 10. 5045 3 1320 -23 2 6 65 3 4 44 2222 Seat 4 1 2 2 -6 2 4 27 65 32 $5292.50 14% or 0.14 4 1 2