Joseph David

University of Washington
Teaching Assistant

Biography

Graduate Mathematics and Statistics Student at the University of Washington.
From Miami, FL.

Education

BS Physics
University of Washington

Educator Statistics

Numerade tutor for 5 years
1507 Students Helped

Topics Covered

Breaking Limits: Unlock Your Potential with Our Expert Solutions
Exploring the World of Derivatives: A Comprehensive Guide
Stand Out with Differentiation Strategies | Boost Your Business
Mastering Integration Techniques for Optimal Results
Unlocking the Power of Functions: Boost Your Programming Skills
Mastering Partial Derivatives: Essential Techniques and Tips
Exploring the Functions of Multiple Variables
Master Vector Calculus with Our Comprehensive Guide
Unlock the Power of Vectors: Discover Their Limitless Possibilities
Explore the Power of Continuous Functions: Boost Your Mathematical Skills
Applications of the Derivative
Mastering Equations and Inequalities: Your Guide to Mathematical Success

Joseph's Textbook Answer Videos

0:00
Calculus Early Transcendentals

Suppose that a function $f$ is differentiable at $x_{0}$ and define $g(x)=f(m x+b),$ where $m$ and $b$ are constants. Prove that if $x_{1}$ is a point at which $m x_{1}+b=x_{0},$ then $g(x)$ is differentiable at $x_{1}$ and $g^{\prime}\left(x_{1}\right)=m f^{\prime}\left(x_{0}\right)$

Chapter 2: THE DERIVATIVE
Section 2: The Derivative Function
Joseph David
0:00
Elementary Linear Algebra

Let $\left\{\mathbf{u}_{1}, \mathbf{u}_{2}, \ldots, \mathbf{u}_{n}\right\}$ be an orthonormal basis for $R^{n}$. Prove that
$\|\mathbf{v}\|^{2}=\left|\mathbf{v} \cdot \mathbf{u}_{1}\right|^{2}+\left|\mathbf{v} \cdot \mathbf{u}_{2}\right|^{2}+\cdots+\left|\mathbf{v} \cdot \mathbf{u}_{n}\right|^{2}$
for any vector $\mathbf{v}$ in $R^{n} .$ This equation is Parseval's equality.

Chapter 5: Inner Product Spaces
Section 3: Orthonormal Bases
Joseph David
03:09
Calculus

A table of values of an increasing function $f$ is shown. Use the table to find lower and upper estimates for $\int_{10}^{\infty} f(x) d x$
$$\begin{array}{|c|c|c|c|c|c|c|}
\hline x & 10 & 14 & 18 & 22 & 26 & 30 \\
\hline f(x) & -12 & -6 & -2 & 1 & 3 & 8 \\
\hline
\end{array}$$

Chapter 5: Integrals
Section 2: The Definite Integral
Joseph David
02:40
Calculus

Use the Midpoint Rule with the given value of $n$ to approximate the integral. Round the answer to four decimal places.
$$\int_{2}^{10} \sqrt{x^{3}+1} d x, \quad n=4$$

Chapter 5: Integrals
Section 2: The Definite Integral
Joseph David
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Joseph's Quick Ask Videos

04:22
Calculus 3

To increase morale among employees, a company began a program in which one employee is randomly selected each week to receive a gift card. Each of the company's 200 employees is equally likely to be selected each week, and the same employee could be selected more than once. Each week's selection is independent from every other week.

(a) Consider the probability that a particular employee receives at least one gift card in a 52-week year.
(i) Define the random variable of interest and state how the random variable is distributed.
(ii) Determine the probability that a particular employee receives at least one gift card in a 52-week year. Show your work.

(b) Calculate and interpret the expected value for the number of gift cards a particular employee will receive in a 52-week year. Show your work.

(c) Suppose that Agatha, an employee at the company, never receives a gift card for an entire 52-week year. Based on her experience, does Agatha have a strong argument that the selection process was not truly random? Explain your answer.

Joseph David
01:46
Intro Stats / AP Statistics

A record showed that 40% of all the high school graduates go to
university. From 12 graduates selected at random, what is the
probability that exactly 9 will go to university?

Joseph David
01:29
Intro Stats / AP Statistics

The life of light bulbs is distributed normally. The variance of
the lifetime is 225 and the mean lifetime of a bulb is 580 hours.
Find the probability of a bulb lasting for at least 605 hours.
Round your answer to four decimal places.

Joseph David
01:31
Intro Stats / AP Statistics

a hospital director is told that 56% of the treated patients are uninsured. the director wants to test the claim that the percentage of insured patience is below the expected percentage. a sample of 190 patients found that 95 were uninsured. state the null and alternative hypothesis.

Joseph David
03:50
Calculus 3

Solve the following LP using Graphical Method
A dietician has learned from a nutritional book that his family needs at least 300 grams of protein and at least 60 milligrams of iron per day for sound health. These nutrients can be obtained from meat and vegetable products. Each kilogram of meat costs an average of Php90 and contains an average of 150 grams of protein and 15 milligrams of iron, while each kilogram of vegetables costs Php22.50 and has 10 grams of protein and 5 milligrams of iron. He wants to determine the quantities of food that meet the nutritional requirements at least cost.

Joseph David
01:16
Intro Stats / AP Statistics

The amount of time you have to wait at a particular stoplight is uniformly distributed between zero and 4 minutes Calculate the standard deviation ?

Joseph David
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