Suppose you throw a cube-shaped object and a spherical-shaped object of equal volume in the same volume of water. the ball sinks and the cube floats. which explains why this might be?

the objects probably have different surface areas.

the objects probably have different densities.

in general, cubes float better than spheres because they are flatter.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

c > -10.55

step-by-step explanation: