Download Seat 1-1 - wilkermath

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