Find the slope of the tangent line to the curve - 2x² + 3xy + 1y^3=- 28

at the point (3, -1).

The ratio pv to nrt is plotted against pressure for ch4 at 0°c and 200°c. why does the curve for 0°c drop below the horizontal line for an ideal gas whereas the curve for 200°c does not?

The ratio of the perimeters of two similar triangles is 4: 3. what are the areas of these triangles if the sum of their areas is 130cm2?

What is the area of the shaded sector?