JW

Julian Wong

New York University
Tutor

Biography

I'm a rising sophomore at the University at Albany, with plans to transfer to Rensselaer Polytechnic Institute next year, studying civil and environmental engineering. I have taught students in STEM fields for at least three years in high school, first mentoring for the software and hardware engineering of an elementary school robotics team for two years, then tutoring individual high school students in subjects such as Geometry, Algebras 1 and 2, Physics, and Chemistry for a school year. I am a quick learner and can gain understandings of skills and topics intuitively, in a way that I can teach to others. I have been known to explain topics such as computer programming fundamentals, algorithm functionality, and derivatives very well, giving students and people I know personally an intuitive understanding of such topics without any prior knowledge.

Education

BS Physics
New York University

Educator Statistics

Numerade tutor for 5 years
207 Students Helped

Topics Covered

Discover the Power of Right Triangles in Geometry
Circles: Exploring the Beauty and Significance of Circular Shapes
Discover the Basics of Trigonometry: Your Introduction to Triangles
Mastering Equations and Inequalities: Your Guide to Mathematical Success
Functions
Rational Functions: Understanding Their Properties and Applications
Mastering Polynomials: Essential Tips and Tricks | [Brand Name]
Stand Out with Differentiation Strategies | Boost Your Business

Julian's Textbook Answer Videos

02:06
College Algebra

(d) From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area.
(e) Use your school's library, the Internet, or some other reference source to find the actual dimensions and area of a regulation Major League Soccer field and compare your findings with the results of part (d).

Chapter 1: Equations, Inequalities, and Mathematical Modeling
Section 1: Graphs of Equations
Julian Wong
04:48
College Algebra

Population Statistics (continued) $\cdots \cdots$
(c) Use the graph to determine the year when life expectancy was approximately $76.0 .$ Verify your answer algebraically.
(d) One projection for the life expectancy of a child born in 2015 is $78.9 .$ How does this compare with the projection given by the model?
(e) Do you think this model can be used to predict the life expectancy of a child 50 years from now? Explain.

Chapter 1: Equations, Inequalities, and Mathematical Modeling
Section 1: Graphs of Equations
Julian Wong
02:31
College Algebra

In Exercises 41 and 42, (a) use a graphing utility to graph the function and (b) state the domain and range of the function.
$$k(x)=4\left(\frac{1}{2} x-\left[\left[\frac{1}{2} x\right]\right]\right)^{2}$$

Chapter 2: Functions and Their Graphs
Section 4: A Library of Parent Functions
Julian Wong
09:57
College Algebra

Saturated Steam.The temperature $T$ (in degrees Fahrenheit) of saturated steam increases as pressure increases. This relationship can be approximated by the model
$$\begin{aligned}
&T=75.82-2.11 x+43.51 \sqrt{x}\\
&5 \leq x \leq 40\end{aligned}$$
where $x$ is the absolute pressure (in pounds per square inch).
(a) The temperature of saturated steam at sea level is $212^{\circ} \mathrm{F}$. Find the absolute pressure at this temperature.
(b) Use a graphing utility to verify your solution for part (a).

Chapter 1: Equations, Inequalities, and Mathematical Modeling
Section 6: Other Types of Equations
Julian Wong
21:40
College Algebra

Power Line A power station is on one side of a river that is $\frac{3}{4}$ mile wide, and a factory is 8 miles downstream on the other side of the river. It costs S 24 per foot to run power lines over land and S 30 per foot to run them under water. The project's cost is S 1,098,662.40 .$ Find the length labeled in the figure.

Chapter 1: Equations, Inequalities, and Mathematical Modeling
Section 6: Other Types of Equations
Julian Wong
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Julian's Quick Ask Videos

02:25
Calculus 1 / AB

(a) If f'(c) = 0, then f has a local maximum or minimum at c.
(b) If f is differentiable and f(-1) = f(1), then there is a number c such that |c| < 1 and f'(c) = 0.
(c) There exists a function f(x) such that f(x) > 0, f'(x) < 0, and f''(x) > 0 for all x. If it exists, draw the possible function.
(d) If f'(x) exists and is nonzero for all x, then f(1) ≠ f(0). Draw a possible function.

04:04
Calculus 1 / AB

A straight river one mile wide runs through the town of
Calculus, NE. Points A and B are on opposite sides of the river
directly across from each other. Points A and C are on opposite
sides of the river 3 miles apart as the crow flies. A pipeline for
transporting oil connects points A and C. Part of the pipeline runs
under water from point A to a point D on the other side of the
river (between B and C). If the cost of running the pipeline under
water is three million dollars per mile, while the cost of running
it above ground is two million dollars per mile, find
the location of point D that will minimize the cost
(ignoring the slope of the river bed).

02:44
Calculus 3

A contractor builds two types of homes. The first type requires one lot, $12,000 capital, and 150 labor-days to build and is sold for a profit of $24,000. The second type of home requires one lot, $32,000 capital, and 200 labor-days to build and is sold for a profit of $34,000. The contractor owns 150 lots and has available 24,000 labor-days. How many of each type of home should she build to realize the greatest profit?
Identify the objective function.
Graph constraints, identify vertices, and find the optimal solution.
Complete sensitivity analysis on coefficients of variables in the objective function.
Complete sensitivity analysis on constants of constraint functions.
Find the shadow price.

01:26
Calculus 1 / AB


A boy makes a camera obscura out of a box.
cardboard with the dimensions of 10.0 cm x 10.0 cm x 16.0 cm. A pin hole is located at
one end and an 8.0 cm x 8.0 cm film is placed on the other end. how far from
a tree 25.0 m tall the boy must put his camera if the tree image is 6.0
cm tall in the movie?

06:02
Calculus 1 / AB

Minimizing Packaging Costs: A rectangular box is to have a square base and a volume of 36 ft³. If the material for the base costs $0.13/ft², the material for the sides costs $0.09/ft², and the material for the top costs $0.11/ft², determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)

04:29
Precalculus

Observe the movement of the hands on your clock. We denote that at 3:15 (AM/PM), you are at a 0 degree/radian measure. (Recall that in a clockwise direction, you will have a negative angle).
1. If you continue to observe the movement of the clock, find the distance in radians that the clock covers when it stops at each of the following times:
a. 3:35
b. 3:50
c. 4:10
d. 4:25
2. What will be the time covered for the following distances?
a. -600
b. -1800
c. -3000
3. What will be the time if the clock covered a distance of -4𝜋/3 radians? What is the measure of the angle formed in degrees?

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