# Tutor profile: Tanay A.

## Questions

### Subject: Pre-Calculus

Find the domain of the function: f(x)= 1/(x^2+2x-15)

f(x) can only exist if the denominator does not equal zero To find these boundary points: We set the denominator equal to zero and solve for x: (x-3)(x+5)=0 Therefore our x boundary values are x=3 and x=-5; any value outside of this range will not give a corresponding y-value as those solutions do not exist. This means that the domain (which looks at the range of valid values across the x-axis) would be: -5 is less than or equal to x which is less than or equal to 3 (-5<=x<=3)

### Subject: World History

Explain the significance of Operation Barbarossa and its outcome in WWII

Operation Barbarossa was a huge turning point in WWII. The operation entailed of Nazi Germany invading the USSR despite having signed a non-aggression pact with the Soviet Union. However, the invasion failed as the Soviet winter weakened Nazi forces and Stalin added to this by implementing a "Scorched Earth" policy where towns were evacuated and burned to the ground. This led to the Nazi forces being unable to replenish supplies as they progressed further into the USSR territory. This operation led to USSR to officially join the Allies and join the war effort against the Axis. As the USSR's military force was rather strong, they played a huge contribution in turning the tide of the war especially after seeing back Poland.

### Subject: Biology

What are the are 4 types of cellular transport and how do they differ?

Diffusion-follows a simple concentration gradient of high to low concentration (No use of ATP energy) Facilitated Diffusion- Follows a simple concentration gradient and uses a transport protein (No use of ATP energy) and is more for larger molecules (i.e ions etc.) Osmosis- Relates specifically to the movement of water that follows a high concentration gradient to a low concentration gradient of water (No use of ATP energy) Active Transport: Goes against the concentration gradient and uses a transport protein to do so (uses ATP energy)

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