I am a second-year mathematics student at the University of York with a passion for helping people learn and understand the subject. I have completed my first year with an above 90% average, so have the mathematical ability to aid other students in their studies.
I have previously been a peer tutor for an A-level student, which involved supporting and furthering their studies across the sciences. This provided me with valuable experience in understanding how to clearly explain a concept and articulate my ideas. I am also undergoing university-provided training to become a PAL leader which will further improve my teaching abilities.
Away from the classroom, I enjoy partaking in agility competitions with my dog. This inspired me to complete an instructor's course in dog training and as a result, I occasionally lead classes. This provided me with a unique insight into the differences between teacher and student, and how to confidently adapt to a student's learning requirements.
For the following exercises, use the graph of $f$ shown in Figure 11.Solve $f(x)=0$
A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to fl ow. What is the maximum cross-sectional area?
If possible, solve the nonlinear system of equations.$$\begin{array}{rr}-6 \sqrt{x}+2 y= & -3 \\2 \sqrt{x}-\frac{2}{3} y= & 1\end{array}$$
Solve the nonlinear system of equations$$(a) symbolically\quad and\quad (b)\quad graphically.$$$$\begin{aligned}&x^{2}+y^{2}=2\\&x^{2}-y=0\end{aligned}$$
The weights $W_{1}$ and $W_{2}$ exerted on each rafter for the roof truss shown in the figure are determined by the system of linear equations. Solve the system.(FIGURE CAN'T COPY)$$\begin{aligned}W_{1}+\sqrt{2} W_{2} &=300 \\\sqrt{3} W_{1}-\sqrt{2} W_{2} &=0\end{aligned}$$
Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the linearfunction: $I(x)=1,054 x+23,286,$ where $x$ is the number of years after 1990 . Which of the followinginterprets the slope in the context of the problem? a. As of 1990 , average annual income was $\$ 23,286$ .b. In the ten-year period from $1990-1999$ , average annual income increased by a total of $\$ 1,054$ . c. Each year in the decade of the 1990 s, average annual income increased by $\$ 1,054$ .d. Average annual income rose to a level of $\$ 23,286$ by the end of 1999 .
Define meteoroid, meteor, and meteorite.
While walking across flat land, you notice a wind turbine tower of height $h$ feet directly in front of you. The angle of elevation to the top of the tower is $A$ degrees. After you walk $d$ feet closer to the tower, the angle of elevation increases to $B$ degrees.(a) Draw a diagram to represent the situation.(b) Write an expression for the height $h$ of the tower in terms of the angles $A$ and $B$ and the distance $d .$
