Youre driving around and see a beautiful penthouse you would like to purchase.
However, you need to know how tall it is because you are afraid of heights. Its roughly a
45 angle to the tippy top you are 30 feet from the bottom.
=
X=
=
If a wheel of radius 1 unit rotates at a speed of 1 unit of length per second, and is in the position
shown in the figure at time t = 0, then its height after t seconds is given by
h(t) = sin(t).
As the wheel rotates, the height h(t) of the marker above t
MA1310:Week3GraphsofSineandCosineFunctions
This lab requires you to:
Use the definitions of trigonometric functions of any angle.
Use the signs of the trigonometric functions.
Find reference angles.
Use reference angles to evaluate trigonometric functions
MA1310:Week10
BinomialTheorem,CountingPrinciple,Permutation,andCombination
This lab requires you to:
Evaluate a binomial coefficient.
Expand a binomial raised to a power.
Find a particular term in a binomial expansion.
Use the fundamental counting princip
MA1310:Week9SequencesandNotations
1. Describe an arithmetic sequence in two sentences.
Arithmetic sequence is a sequence of numbers that has a constant difference
between every two consecutive terms.
In other words, arithmetic sequence is a sequence of nu
MA1310:BasicsOfTrigonometry
Signs of Trigonometric Functions
Special Right Triangles
Page1
MA1310:BasicsOfTrigonometry
3
2
Right Triangle Definitions of Trigonometric Functions
Page2
MA1310:Week2SolvingExponentialandLogarithmicEquations
This lab requires you to:
Use like bases to solve exponential equations.
Use logarithms to solve exponential equations.
Use the definition of a logarithm to solve logarithmic equations.
Use the one-to-
Dot product example
if a=(6,1,3), for what value of c is the vector b=(4,c,2) perpendicular to a?
Solution: For a and b to be perpendicular, we need their dot product to be zero. Since
ab=6(4)1(c)+3(2)=24c6=18c,the number c must satisfy 18c=0, or
c=18.
Yo
MA1310:Week2SolvingExponentialandLogarithmicEquations
This lab requires you to:
Use like bases to solve exponential equations.
Use logarithms to solve exponential equations.
Use the definition of a logarithm to solve logarithmic equations.
Use the one-to-
MA1310:Week1ExponentialandLogarithmicFunctions
This lab requires you to:
Evaluate exponential functions.
Graph exponential functions.
Evaluate functions with base e.
Change from logarithmic to exponential form.
Change from exponential to logarithmic form.
St.Ives there are 2401 kittens and the last one I think is wives=7 sacks=49 cats=343
kittens=2401 so total would be 2800
Suppose you apply for a $10000 loan at a bank and you would like to repay it in 10 years in
uniform yearly payments. The interest rate
MA1310 Math II
Module 2 Logarithms
Click icon to add picture
Module 1 is ONE week long.
Modules 2-6 are TWO weeks long!
This is an 11 week course!
Logarithm Rules
Logarithmic
form:
Exponential
form:
y logb x
y
b x
Product Rule:
logb ( MN )
logb M logb N
M
MA1310 Math II
Module 1 Sequences
Click icon to add picture
Module 1 is ONE week long.
Modules 2-6 are TWO weeks long!
This is an 11 week course!
Sequence Formulas
General Term of Arithmetic
Sequence: a a ( n
n
1
1)d
Sum of the First n Terms of Arithmeti
MA1310: Module 2 Exponential and Logarithmic Functions
Exercise 2.2
Solving Exponential and Logarithmic Equations
Answer the following questions to complete this exercise:
1. Solve the following exponential equation by expressing each side as a power of t
MA1310: Module 3 Trigonometric Functions
Exercise 3.1
Graphs of Sine and Cosine Functions
Trigonometric functions are used to model data and a variety of physical phenomena such as astronomy,
surveying, highway design, GPS, and aerial photography. Refer t
Brandy True
;Exercise 3.1
1. Find the exact value of:
a. sin 300
reference angle of 60 in quadrant IV where sin<0.
Therefore, sin 300=-sin60=-3/2
b. tan (405) (Hint: 405 = 360 + 45)
Sin (405)=sin(360+45)=sin45=1/sqrt(2)
cos(405)=cos(360+45)=cos45=1/sqrt(2
There is one inclined plane road and we are walking from bottom to top with a drum .
We are pushing the drum to upper side and moving upward with drum from A to B .
Road is inclined to 30 degree with the horizontal. Weight of the man = 50kg and weight
of
Brandy True
;Exercise 3.1
1. Find the exact value of:
a. sin 300
reference angle of 60 in quadrant IV where sin<0.
Therefore, sin 300=-sin60=-3/2
b. tan (405) (Hint: 405 = 360 + 45)
Sin (405)=sin(360+45)=sin45=1/sqrt(2)
cos(405)=cos(360+45)=cos45=1/sqrt(2
1. Describe an ellipse in two sentences.
A curved line forming a closed loop, where the sum of the distances from two
points to every point on the line is constant.
2. Find the standard form of the equation of the ellipse and give the location of
its foci
1. What is an exponential function?
Where b is a positive constant other than 1 ( b > 0 and b 1) and x is any real number.
2. What is a natural exponential function?
The function is called the natural exponential function.
3. Evaluate using a calculator.
Brandy True
Trigonometry
Exercise 4.1
MA1310: Module 4 Applications of
1.
Find the value of B, b, and c.
2.
Two sides and an angle (SSA) of a triangle are given. Determine whether
the given measurements produce one triangle, two triangles, or no triangle
1. The graph of a tangent function is given below. Find the equation of the graph
in the form y = A tan (Bx C).
a. Find A. The y-coordinate of the points on the graph and of the way
between the consecutive asymptotes are given by 1 and 1 respectively.
b.
Brandy True
Trigonometry
Exercise 4.1
MA1310: Module 4 Applications of
1.
Find the value of B, b, and c.
2.
Two sides and an angle (SSA) of a triangle are given. Determine whether
the given measurements produce one triangle, two triangles, or no triangle
Brandy True
MA1310: Module 4 Applications Of Trigonometry Exercise 4.2
1. Explain why and represent the same points in polar coordinates.
These represent the same points because adding 180 to an angle and
replacing r with r does not change the points loca
Binomial Theorem, Counting Principle, Permutation, and Combination
BTrue
1. Define binomial coefficient. Give an example. Write the steps of a graphing utility
to evaluate your binomial coefficient and the final answer.
Binomial Coefficient Any one of the
BTrue_ E5.1
1. What is a directed line segment?
A directed line segment is a line segment from one point to another point in the
coordinate plane.
2. What are equal vectors?
Equal vectors have the same magnitude and the same direction. Equal vectors
may s