Dayna Kitsuwa

University of Hawaii at Manoa
Teacher

Biography

A pursuer of knowledge and an educator at heart, I have been helping others with math since the time I had first memorized multiplication tables.

After competing as a mathlete during middle school and high school, I attended the University of Hawaii at Manoa to earn both a B.S. and M.A. in mathematics. Then I decided to give back by becoming a teacher myself! I have spent the past six years teaching at Kapiolani Community College, and now I hope to help students in the digital world too.

Education

MA Mathematics
University of Hawaii at Manoa

Educator Statistics

Numerade tutor for 5 years
721 Students Helped

Topics Covered

The Power of Algebraic Language: Unlocking Mathematical Potential
Mastering Equations and Inequalities: Your Guide to Mathematical Success
Understanding Complex Numbers: A Comprehensive Guide
Mastering Polynomials: Essential Tips and Tricks | [Brand Name]
Mastering Sequences and Series: An Introduction
Introduction to Combinatorics & Probability: Understanding the Basics
Functions
Discover the Basics of Trigonometry: Your Introduction to Triangles
Applications of Trigonometric Functions
Mastering Exponential and Logarithmic Functions: Your Ultimate Guide
Mastering Linear Functions: A Comprehensive Guide
Graph Linear Functions
Write Linear Equations

Dayna's Textbook Answer Videos

0:00
Intermediate Algebra

A table of solutions for a linear equation is given on the right. From the table, determine the $x$ -intercept and the $y$ -intercept of the graph of the equation.
(GRAPH CAN'T COPY)

Chapter 2: Graphs, Equations of Lines, and Functions
Section 2: Graphing Linear Equations in Two Variables
Dayna Kitsuwa
102:30:31
Intermediate Algebra

Refer to the graph on the right.
a. What is the $x$ -intercept and what is the $y$ -intercept of the line?
b. If the coordinates of point $A$ are substituted into the equation of the line that is graphed here, will a true or a false statement result?

Chapter 2: Graphs, Equations of Lines, and Functions
Section 2: Graphing Linear Equations in Two Variables
Dayna Kitsuwa
102:31:25
Intermediate Algebra

A graphing calculator display is shown below. It is a table of solutions for which one of the following linear
equations?
$y=-2 x-1, \quad y=-3 x-1, \quad$ or $\quad y=-4 x-1$

Chapter 2: Graphs, Equations of Lines, and Functions
Section 2: Graphing Linear Equations in Two Variables
Dayna Kitsuwa
04:11
Precalculus

A driver's age has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. For example, 25 -year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25 -year-old Americans have driven a total of Ioo million miles, approximately 4 have been in accidents in which someone died.
(GRAPH CAN NOT COPY)
The number of fatal vehicle crashes per 100 million miles, $y,$ for drivers of age $x$ can be modeled by the formula
$$y=0.013 x^{2}-1.19 x+28.24$$
Use the formula above and the bar graph at the bottom of the previous page to solve.
What age groups are expected to be involved in 3 fatal crashes per 100 million miles driven? How well does the formula model the trend in the actual data shown in the bar graph?

Chapter 0: Prerequisites: Fundamental Concepts of Algebra
Section 7: Equations
Dayna Kitsuwa
03:03
Precalculus

A driver's age has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. For example, 25 -year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25 -year-old Americans have driven a total of Ioo million miles, approximately 4 have been in accidents in which someone died.
(GRAPH CAN NOT COPY)
The number of fatal vehicle crashes per 100 million miles, $y,$ for drivers of age $x$ can be modeled by the formula
$$y=0.013 x^{2}-1.19 x+28.24$$
Use the formula above and the bar graph at the bottom of the previous page to solve.
What age groups are expected to be involved in 10 fatal crashes per 100 million miles driven? How well does the formula model the trend in the actual data shown by the bar graph?

Chapter 0: Prerequisites: Fundamental Concepts of Algebra
Section 7: Equations
Dayna Kitsuwa
1 2 3 4 5 ... 7

Dayna's Quick Ask Videos

19:51
Calculus 1 / AB

3. Consider the function below.
f(x)= (x^2)/(x^2 - 16)
(a) Find the vertical asymptote(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
x = ?
Find the horizontal asymptote(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
y = ?
(b)
Find the interval(s) where the function is increasing. (Enter
your answer using interval notation. If an answer does not exist,
enter DNE.)
Find the interval(s) where the function is decreasing. (Enter
your answer using interval notation. If an answer does not exist,
enter DNE.)
(c) Find the local maximum and minimum values. (If an answer
does not exist, enter DNE.)
local maximum value ?
local minimum value ?
(d)
Find the interval(s) where the function is concave up. (Enter
your answer using interval notation. If an answer does not exist,
enter DNE.)
Find the interval(s) where the function is concave down. (Enter
your answer using interval notation. If an answer does not exist,
enter DNE.)
Find the inflection point. (If an answer does not exist, enter
DNE.)
(x, y) = ?
(e) Use the information from parts (a)-(d) to sketch the graph
of f.

Dayna Kitsuwa
10:01
Calculus 1 / AB

A rectangle is constructed with its base on the diameter of a
semicircle with radius 25, and with its two other vertices on the
semicircle. Let x be the length (base) of the rectangle that lies
on the diameter of the semicircle. Find the dimensions of the
rectangle with maximum area. Draw the appropriate picture to assist
you.
a) What is the constraint equation in terms of x and the
rectangle's height, h?
b) What is the objective function in terms of the base of the
rectangle, x?
c) The rectangle with maximum area has a base length of
______.
d) The rectangle with maximum area has a height length of
______.

Dayna Kitsuwa
11:17
Precalculus

The number of honey bees in a hive is increasing according to an
exponential model. After one month the population of bees is 150.
After four months, the population has grown to 300. (a) Write an
appropriate exponential model. (b) Use an exponential model to
predict the number of bees after 6 months.

Dayna Kitsuwa
06:58
Algebra

Let t be the time in weeks. At time t=0,
organic waste is dumped into a pond. The oxygen level in the pond
at time t is given by f(t) = (t^2 - t + 1) / (t^2+1)
Assume f(0)=1 is the normal level of oxygen
(a) On a separate piece of paper, graph this function.
(b) What will happen to the oxygen level in the lake as time
goes on?
(c) Approximately how many weeks must pass before the oxygen
level returns to 80% of its normal level? (round to at least
two decimal places)

Dayna Kitsuwa
06:17
Precalculus

A store sells cashews for $5.00 per pound and peanuts for $2.50
per pound. The manager decides to mix pounds of peanuts with some
cashews and sell the mixture for $3.00 per pound. How many pounds
of cashews should be mixed with the peanuts so that the mixture
will produce the same revenue as would selling the nuts
separately? There should be ? pounds of cashews in the mixture?

Dayna Kitsuwa
06:14
Algebra

In 1992, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic model y=0.2313x^2+2.600x+35.17 approximates this cap in millions of dollars for the years 1992-2008, where x=0 represents 1992, x=1 represents 1993, and so on. Complete parts a and b.
The approximate sports league salary cap in 2004 is $99.7 million.
In what year did the salary cap reach 65 million dollars?

Dayna Kitsuwa
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