Bob Gorbold

Numerade Educator
Math Teacher

Biography

I have taught basically every high school math class available and many science classes (and Bible class as well). This year I am the math department head at my school and I taught Honors Geometry, AP Statistics, AP Calculus, and Pre-Calculus.
I've also done tutoring in college and at a Huntington Learning Center

Education

Bob has not yet added their education credentials.

Educator Statistics

Numerade tutor for 6 years
20 Students Helped

Topics Covered

Unlocking the Power of Functions: Boost Your Programming Skills
Breaking Limits: Unlock Your Potential with Our Expert Solutions
Explore the Power of Continuous Functions: Boost Your Mathematical Skills
Mastering Integrals: Tips and Tricks for Calculus Success
Integration
Applications of Integration: Exploring Real-World Solutions

Bob's Textbook Answer Videos

02:56
Essential Calculus Early Transcendentals

Find the domain and sketch the graph of the function.
$$f(x)=\left\{\begin{array}{ll}{-1} & {\text { if } x \leqslant-1} \\ {3 x+2} & {\text { if }|x|<1} \\ {7-2 x} & {\text { if } x \geqslant 1}\end{array}\right.$$

Chapter 1: FUNCTIONS AND LIMITS
Section 1: Functions and Their Representations
Bob Gorbold
00:49
Calculus: Early Transcendentals

Suppose the velocity of an object moving along a line is positive. Are displacement and distance traveled equal? Explain.

Chapter 6: Applications of Integration
Section 1: Velocity and Net Change
Bob Gorbold
00:42
Calculus: Early Transcendentals

Explain how to use definite integrals to find the net change in a quantity, given the rate of change of that quantity.

Chapter 6: Applications of Integration
Section 1: Velocity and Net Change
Bob Gorbold
00:56
Calculus: Early Transcendentals

What is the result of integrating a population growth rate between times $t=a$ and $t=b,$ where $b>a ?$

Chapter 6: Applications of Integration
Section 1: Velocity and Net Change
Bob Gorbold
04:03
Calculus: Early Transcendentals

Displacement and distance from velocity Consider the velocity function shown below of an object moving along a line. Assume time is measured in seconds and distance is measured in meters. The areas of four regions bounded by the velocity curve and the I-axis are also given.
(FIGURE CAN'T COPY)
a. On what intervals is the object moving in the negative direction?
b. What is the displacement of the object over the interval [2,6]$?$
c. What is the total distance traveled by the object over the interval [0,6]$?$
d. What is the displacement of the object over the interval [0,8]$?$
e. Describe the position of the object relative to its initial position after 8 seconds.

Chapter 6: Applications of Integration
Section 1: Velocity and Net Change
Bob Gorbold
04:51
Calculus: Early Transcendentals

Consider an object moving along a line with the given welocity v. Assume time t is measured in seconds and velocities have units of $\mathrm{m} / \mathrm{s}$
a. Determine when the motion is in the positive direction and when it is in the negative direction.
b. Find the displacement over the given interval.
c. Find the distance traveled over the given internal.
$v(t)=4 t^{3}-24 t^{2}+20 t$ on [0,5]$.

Chapter 6: Applications of Integration
Section 1: Velocity and Net Change
Bob Gorbold
1 2 3 4