DIFFICULT

Find the area of the region bounded by the parabola , the tangent line to this parabola at (1, 1), and the x-axis.

In the atmosphere, nitrogen dioxide reacts with water to produce nitric acid, which contributes to pollution by acid rain: 3NO₂+H₂O → 2HNO₃+NO. How many grams of HNO₃ are produced for every 1.0 mol of NO2 that reacts?

You are standing on a scale in an elevator on the 4th floor of the Roque Ruaño building. As the elevator begins to descend to the first floor, you notice that the scale reads only 90% of your weight. What is the acceleration of the elevator during that period of time?

A charged conducting sphere is known to have a radius 4 cm and total charge 7.5 nC. If points A and B are found to be 1 cm and 8 cm from the center of the conducting sphere, determine the potential difference between A and B, i.e. V_AB.

A thermometer reading is placed in an oven preheated to a constant temperature. It was observed that the thermometer reads after 30 seconds and after 1 minute. How hot is the oven?

Above is a cube formed by twelve 1-ohm resistors. Determine the resistance at terminals A-D.

Determine the vector equation of the component

Determine the point on the line 𝑦 = 2𝑥 + closest to the point P(7,0).

Determine the natural frequency of the active filter shown.