Erica Bischoff

Pittsburg State University
Professor

Biography

I have been teaching college math for the past 4 years and previously taught high school math for 7 years.

Education

MS Mathematics
Pittsburg State University
BA Mathematics
Graceland University

Educator Statistics

Numerade tutor for 5 years
23 Students Helped

Topics Covered

Breaking Limits: Unlock Your Potential with Our Expert Solutions
Exploring the World of Derivatives: A Comprehensive Guide
Mastering Exponential and Logarithmic Functions: Your Ultimate Guide
Mastering Integrals: Tips and Tricks for Calculus Success
Integration
Mastering Integration Techniques for Optimal Results

Erica's Textbook Answer Videos

03:00
Calculus Early Transcendental Functions

Determine which value best approximates the area of the region between the $x$-axis and the graph of the function over the given interval. (Make your selection on the basis of a sketch of the region, not by performing calculations.)
$f(x)=\sin \frac{\pi x}{4}, \quad[0,4]$
(a) 3
(b) $1 \quad(c)-2$
(d) 8
(e) 6

Chapter 5: Integration
Section 2: Area
Erica Bischoff
02:44
Calculus Early Transcendental Functions

In your own words and using appropriate figures, describe the methods of upper sums and lower sums in approximating the area of a region.

Chapter 5: Integration
Section 2: Area
Erica Bischoff
01:37
Calculus Early Transcendental Functions

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If $f$ is continuous and nonnegative on $[a, b],$ then the limits as $n \rightarrow \infty$ of its lower sum $s(n)$ and upper sum $S(n)$ both exist and are equal.

Chapter 5: Integration
Section 2: Area
Erica Bischoff
02:17
College Algebra Essentials

Strontium- $90\left({ }^{90} \mathrm{Sr}\right)$ is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in $1986,$ large areas surrounding the site were contaminated with ${ }^{90} \mathrm{Sr}$. If $10 \mu \mathrm{g}$ (micrograms) of ${ }^{90} \mathrm{Sr}$ is present in a sample, the function $A(t)=10\left(\frac{1}{2}\right)^{t / 28.9}$ gives the amount $A(t)$ (in $\mu \mathrm{g}$ ) present after $t$ years. Evaluate the function for the given values of $t$ and interpret the meaning in context. Round to 3 decimal places. (See Example 5)
a. $A(28.9)$
b. $A(57.8)$
c. $A(100)$

Chapter 4: Exponential and Logarithmic Functions
Section 2: Exponential Functions
Erica Bischoff
02:40
College Algebra Essentials

In $2006,$ the murder of Alexander Litvinenko, a Russian dissident, was thought to be by poisoning from the rare and highly radioactive element polonium- 210 $\left({ }^{210} \mathrm{Po}\right) .$ The half-life of ${ }^{210} \mathrm{Po}$ is $138.4 \mathrm{yr}$. If $0.1 \mathrm{mg}$ of ${ }^{210} \mathrm{Po}$ is present in a sample then $A(t)=0.1\left(\frac{1}{2}\right)^{t / 138.4}$
gives the amount $A(t)$ (in mg) present after $t$ years. Evaluate the function for the given values of $t$ and interpret the meaning in context. Round to 3 decimal places.
a. $A(138.4)$
b. $A(276.8)$
c. $A(500)$

Chapter 4: Exponential and Logarithmic Functions
Section 2: Exponential Functions
Erica Bischoff
1 2 3 4