MA 1310 Week 3 Discussion
1. The correct graph for the function y=3 sin 2
x Would be graph a.
2. The period of graph b is .5 - (.5 ) = 1 .
3. The amplitude of graph c would be 3.
4. In regards to amplitude the sin value must be changed in graph a to rece
Jonathan Castro
MA1310 College Math II
Exercise 3.1
Exercise 3.1 Title: Trigonometric and Periodic Functions
1.
a.
b.
c.
Find the exact value of:
Sin 300 o = -3/2
Tan 405 o = 1
Cot (13/3) = 1/3
2. If sin o < 0 and tan o <, then in which quadrant does o li
MA1310 College Math II
Exercise 4.1
Exercise 4.1 Title: Laws of Sines and Cosines
A 48
C 97
a 12
1. Use the values given in the above triangle and find the value of B, b, and c.
Ans = B=35 , b=9.3, and c=16
2. Two sides and an angle (SSA) of a triangle ar
Sara Rennard
September 5, 2015
1. Use the values given in the above triangle and find the value of B,b and c.
A+B+C=180
A+C=48+97=145
B=180-145=35
2. Two sides and an angle (ssa) of a triangle are given. Determine if the
measurements produce one triangle,
MA 1310 Lab 3.1
1. y= tan (x+ /2)
a. (-/2 , -1) and (/2, 1) a=1
b. the period is equal to
c. b=1
d. c= /2 phase c/b (-/2)/1 = -/2
e. c = - / 2
f. 1 would be the correct equation. X= /4 y = tan (/4 /2) tan (-/4) -1 x = 3/4 y=1
2a. sin
= 3 /2
b. 150
c.-45
3/27/04
Thursday M1310
Exercise 2.1: Exponential and Logarithmic Functions
1.
What is an exponential function?
Functions whose equations contain a variable in the exponent are called exponential
functions. Its a function whose value is a constant raised t
1. A function whose value is a constant raised to the power of the argument,
especially the function where the constant is e.
2. The function defined by f (x) = ex is called the Natural Exponential Function.
3. .125
4. 510,000 * 1.03^5 = $591,229.78
5. 6=
Sara Rennard
August 15, 2015
1. Find the exact value:
a. sin 300
-sqrt3/2
b. tan (405)
2 / 2 = 1
2
2
c. cot (13)
3
= cot (4 + 3)
= cot (/3)
= cot (60)
= 1 / (sqrt(3)
= 0.577350
2. Find sin < 0 and tan < 0, then in which quadrant does lie?
4th quadrant
3.
Elyse Segebart
MA1310 College Math II
Discussion 2.1
An example of an exponential function is the growth of bacteria. Some bacteria double
every hour. If you start with 1 bacterium and it doubles every hour, you will have
2x bacteria after x hours. This c
MA1310 College Mathematics II
Syllabus
Credit hours: 4.5
Contact/Instructional hours: 45 (45 Theory)
Prerequisite: MA1210 College Mathematics I or equivalent
MA1310 College Mathematics II
Syllabus
COURSE SUMMARY
COURSE DESCRIPTION
This course will include
Michael Ferguson
College Mathematics II
20140616
MA1310 Week 1 Lab Answers
1. An exponential function is a function whose equations contain a variable in the
exponent.
2. The natural exponential function is f(x)=e^x
3. 4^-1.5=.125
4. S=C(1+r)^t
S=$510000(
MA1310 Exercise 2.1
1. What is an exponential function?
A function whose value is a constant raised to the power of the argument, especially the
function where the constant is e.
2. What is a natural exponential function?
The function defined by f (x) = e
Elyse Segebart
MA1310 College Math II
02.23.2015
Discussion 3.1
On Fegruary 10, 1990, high tide in Boston was at midnight. The water level at high tide
was 9.9 feet; later, at low tide, it was 0.1 feet. Assuming the next high tide is exactly 12
hours late
MA1310 EX 2.2
1. Solve the following exponential equation by expressing each side as a power of the
same base and then equating exponents:
6x=216
Log(6x) = Log (216)
xLog(6)=Log(216)
x = Log (216)
Log(6)
x=3
2. Solve the following exponential equation:
Ex
MA1310 College Math II
Exercise 5.2
Exercise 5.2 Title: Graphing Ellipse, Hyperbola, and Parabola
1. Describe an ellipse in two sentences.
An ellipse is the set of all points, P, in a plane the sum of whose distances from two fixed points, F1
and F2, is c
MA1310 College Math II
Exercise 5.1
Exercise 5.1 Title: Solving Vectors
1. What is a directed line segment?
Answer: A line segment to which a direction has been assigned is called a directed line
segment.
2. What are equal vectors?
Answer: Two vectors are
1.
2. sin(B)/b = sin(A)/a
sin(B) = b * sin(A)/a
sin(B) = 5 sin(70)/7 = 0.671209015
B = arcsin(0.671209015) or 180arcsin(0.671209015)
B = 42.16 or 137.84
But since a > b, then A > B, so there is only 1 valid answer for B:
B = 42.16
1 triangle
3. Let x be t
MA1310 College Math II
Exercise 3.2
Exercise 3.2 Title: Other Trigonometric Functions
1. The graph of tangent function is given below. Find the equation of the graph in the form y
= A tan (Bx-C) : Y = tan ( X + /2)
A. Find A. The y-coordinate of the graph
MA1310 College Math II
Discussion 3.1
On February 10, 1990, high tide in Boston was at midnight. The water level at high tide
was 9.9 feet; later, at low tide, it was 0.1 feet. Assuming the next high tide is exactly 12
hours later and that the height of t
Exercise 5.2
Q1. An ellipse is a regular oval shape, traced by a point moving in a plane so that the
sum of its distances from two other points (the foci) is constant. An ellipse results when
a cone is cut by an oblique plane that does not intersect the b
MA1310 College Math II
Exercise 4.2
Exercise 4.2 Title: Polar Coordinates and Complex Numbers
1. Explain why
( r , )
and
o
represent the same points in polar coordinates.
( r , 180 )
(r,) and (-r , +180) are the same point because adding 180 takes you to
1. Binomial coefficient is the number of ways of picking an unordered outcomes
from the possibilities, also known as a combination number.
example: find 7!
7!=(7)(6)(5)(4)(3)(2)(1)=5040
7!=5040
2. The fundamental counting principle is, a principle that st
1. a. Since 360 is 1 full circle, the angle you're looking for must be 60 degrees (360-60;
you take 60 because that is the difference between the reference angle and the
terminal angle). In the 4th Quadrant, sin or y is negative and the sin of a 60 degree
1. a. 1
b. 3.14
c. 1
d. 3.14/2
e. -3.14/2
F. I is the correct answer
2. a.
b
c
d
e
3.
28.03 degrees
4. Tan^-1 (200/90)
height=200ft
base= 90
Since the height of the building and the distance from the base are given, 200 feet and
90 feet, respectively, the
Marcus Melvin
Module 5 Exercise 1
1. What is a directed line segment?
Answer A line segment to which a direction has been assigned is called a directed line
segment.
2. What are equal vectors?
Answer Two vectors are equal if their corresponding component
You are standing 10 feet away from a certain leaning tower. Find the ladder length that
is needed to reach the third floor of the leaning tower if the ladder is placed where you
are standing. The angle that is formed by the tower and the ground is 108 deg
MA1310: Module 4 Applications of Trigonometry
Exercise 4.1
Laws of Sines and Cosines
A 48
C 97
a 12
1. Use the values given in the above triangle and find the value of B, b, and c.
2. Two sides and an angle (SSA) of a triangle are given. Determine if the