Adam Schade

Colorado School of Mines
one-on-one geometry tutoring

Biography

Currently I am pursuing a mechanical engineering degree. I am highly motivated and passionate in the fields of math, physics, and engineering. In the past I have started and led a high school FRC Robotics team, and have extensive knowledge in teaching STEM concepts. My theory is that the best way to learn a subject is to teach it, and I know that this job will be mutually beneficial to both myself and my studies as well as the students I create videos for. I also have experience with working from home.

Education

BA Mechanical Engineering
Colorado School of Mines

Educator Statistics

Numerade tutor for 5 years
8 Students Helped

Topics Covered

Mastering Equations and Inequalities: Your Guide to Mathematical Success
Unlocking the Power of Functions: Boost Your Programming Skills
Breaking Limits: Unlock Your Potential with Our Expert Solutions
Exploring the World of Derivatives: A Comprehensive Guide

Adam's Textbook Answer Videos

24:37
Calculus

The graphs of $f$ and $g$ are given. Use them to evaluate each
limit, if it exists. If the limit does not exist, explain why.
\begin{equation}
\begin{array}{ll}{\text { (a) } \lim _{x \rightarrow 2}[f(x)+g(x)]} & {\text { (b) } \lim _{x \rightarrow 0}[f(x)-g(x)]} \\ {\text { (c) } \lim _{x \rightarrow-1}[f(x) g(x)]} & {\text { (d) } \lim _{x \rightarrow 3} \frac{f(x)}{g(x)}} \\ {\text { (e) } \lim _{x \rightarrow 2}\left[x^{2} f(x)\right]} & {\text { (f) } f(-1)+\lim _{x \rightarrow-1} g(x)}\end{array}
\end{equation}

Chapter 1: Functions and Limits
Section 6: Calculating Limits Using the Limit Laws
Adam Schade
03:59
Calculus

(a) If $f(x)=\sec x-x,$ find $f^{\prime}(x)$
(b) Check to see that your answer to part (a) is reasonable by graphing both $f$ and $f^{\prime}$ for $|x|<\pi / 2$ .

Chapter 2: Derivatives
Section 4: Derivatives of Trigonometric Functions
Adam Schade
02:53
Calculus

(a) If $f(x)=\sqrt{x} \sin x,$ find $f^{\prime}(x)$ .
(b) Check to see that your answer to part (a) is reasonable by graphing both $f$ and $f^{\prime}$ for 0$\leqslant x \leqslant 2 \pi$

Chapter 2: Derivatives
Section 4: Derivatives of Trigonometric Functions
Adam Schade
11:05
Calculus

Find the points on the curve $y=(\cos x) /(2+\sin x)$ at which the tangent is horizontal.

Chapter 2: Derivatives
Section 4: Derivatives of Trigonometric Functions
Adam Schade
04:36
Calculus

Evaluate $\lim _{x \rightarrow 0}$ $x \sin \frac{1}{x}$ and illustrate by graphing $y=x \sin (1 / x)$.

Chapter 2: Derivatives
Section 4: Derivatives of Trigonometric Functions
Adam Schade
08:21
Calculus

Let $f(x)=\frac{x}{\sqrt{1-\cos 2 x}}$.
$$\begin{array}{l}{\text { (a) Graph } f . \text { What type of discontinuity does it appear to }} \\ {\text { have at } 0 ?} \\ {\text { (b) Calculate the left and right limits of } f \text { at } 0 . \text { Do these }} \\ {\text { values confirm your answer to part (a)? }}\end{array}$$

Chapter 2: Derivatives
Section 4: Derivatives of Trigonometric Functions
Adam Schade
1 2

Adam's Quick Ask Videos

47:52
Physics 101 Mechanics

A 50.0 kg man standing on a spring scale takes a descending elevator ride (DOWNWARD). Starting from the rest, the elevator descends, attaining a maximum speed of 8.0 m/s in 4.0 seconds. Then the elevator travels with this constant speed of 8.0 m/s for 10.0 seconds. Lastly, it takes the elevator 2.0 seconds to make a complete stop. Based on the information above, answer the questions below:

(Hint: Drawing pictures would help you understand the 3 legs of this elevator ride. Since the elevator is descending, going down, it is more convenient to chose downward direction as + direction. Please pay attention to the sign of each physical quantity, such as velocity, acceleration, and displacement, etc.

Useful formula: v = vi + a×t, or a = change in velocity/time = (vf-vi)/t
d = v0×t + ½ a × t2, Weight = mg,
Newotn’s 2nd Law: Net force Fnet = ma

(1). What is the acceleration of the elevator during the 1st 4.0 seconds of the ride? Is the direction of the acceleration upward or downward?
(2). How far does the elevator travel during this time?
(3). What is the true weight (W) of the man?
(4). What is the net force (F) acting on the man required to produce the acceleration?
(5). What is the force (N) exerted on the man’s feet by the floor of the elevator.
(6). What is the apparent weight of the man in Newtons?
(7). What is the acceleration of the elevator during the following 10.0 seconds of the ride?
(8). How far does the elevator travel during this 10.0-second period?
(9). What is the net force (F) acting on the man required to produce the acceleration?
(10) What is the force (N) exerted on the man’s feet by the floor of the elevator.
(11). What is the apparent weight of the man in Newtons?
(12). What is the acceleration of the elevator during the last 2.0-second of the ride? Is it upward or downward?
(13). How far does the elevator travel during this 2.0-second period?
(14). What is the net force (F) acting on the man required to produce the acceleration?
(15). What is the force (N) exerted on the man’s feet by the floor of the elevator.
(16). What is the apparent weight of the man in Newtons?
(17). What is the total distance the elevator travels during this whole ride.

Adam Schade
12:58
Physics 103

A machinist is using a wrench to loosen a nut.
The wrench is 25.0 [cm] long.
As shown in the figure at right,
the machinist exerts a 17.0 [N] force at the
end of the wrench at an angle of 37°
with respect to the shaft of the wrench.
a) What torque is the machinist exerting
about the rotational axis through the center
of the nut?
b) How should the 17.0 [N] force be oriented
if the machinist is to maximize the
torque exerted on the nut?
c) What is the value of this maximum torque?

Adam Schade
1