## Transcribed Text

1. Write the equation below in its equivalent exponential form.
logg 25 = x
2. Write the first four terms of the sequence whose general term is given below.
an=4(3n-1)
3. Use the addition method to solve the system below:
4x + 27y = 27
8x-3y=-3 -
4. In the right triangle ABC below, C is the right angle, and two sides are given. Find
sin 0 of the given angle.
B
8
C
3
A
5. Find the reference angle for 571 5w
6. Find the area of a triangle with these measurements: C = 100°, a = 1 yard, and b = 8 yards. Round
your answer to the nearest square unit.
7. Solve the right triangle in the figure below in which A = 51.9° and C = 51.2. Round lengths to one
decimal place and express angles to the nearest tenth of a degree.
B
c
a
A
b
C
8. Plot the complex number -3 + 6i.
9. Write the expression below as the cosine of an angle, knowing that the expression is the right side
of the formula for cos(a - ß) with particular values for a and B.
cos (155°) cos (35°) + sin (155°) sin (35°)
10. Solve the equation below on the interval [0, 2m).
cos2x= 2 3
11. Find the exact value of the expression sin-1(-0.5).
12. Find the rectangular coordinates of a point whose polar coordinates are (3, -270°).
13. Complete the identity below.
=
tan²x
14. Using the vectors given below, find u . V.
u = 13i-7j and V = -6i + 7j
15. If the sequence below is a geometric sequence, find the common ratio.
4 8 16 32 64
3 3 3 3 , 3
16. Graph the solution set of the system of inequalities below.
y < -X + 8
y>8x-3 -
17. Find the maximum and minimum values of the given objective function of a linear programming
problem. The figure below illustrates the graph of the feasible points.
Objective function: Z = 5x + 8y
y
(0.9)
(9,9)
(0,3)
(9, 3)
+
+
x
(3.0)
18. Use Gauss-Jordan elimination to solve the system X - y + 3z = 0, 2x + 2y - Z = 9, and
+ 5y - 10z = 4.
1 2
6 1
19. Find the product of the matrices
-8 3
and
-1 8
.
4 0
6 2 - 1
20. Compute the determinant
0 3 -3
9 -1 7
21. Write an equation for the ellipse with vertices (2,2), (4,2), (3,-1) and (3,5).
22. Find the foci of the hyperbola (x-3)3_(y+2) 1 = 1
23. What is the standard form equation of a parabola with directrix X = -2 and focus (2,0)?
24. Eliminate parameter parametric equations 1-1-1+ and y = cos t - sin
the from the
t.
25. Determine what kind of conic is represented by the equation r
26. Estimate the following limit using a table.
x = X + 2 4
27. Use properties of limits to compute the following limit exactly.
lim
=
x->0
28. Use the limit definition to compute f'(x)

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