Suppose a person developed a mutation in a somatic cell which diminishes the performance of the bodys natural cell cycle control proteins. this mutation resulted in cancer, but was effectively treated with a cocktail of cancer-fighting techniques. is it possible for this persons future children to inherit this cancer-causing mutation

Yes, it is probable for a person's future children to inherit this kind of mutation. There is a one in two possibility to inherit this. Cells that are already destroyed permanently by the cancer will divide further even though there is cancer fighting techniques or cocktails induced. The mutation may either be a recessive trait or a major trait depending on the genetic code of the mutation.

c. earths continental crust is thicker than its lithosphere.

because, the lithosphere is the outermost layer of the earth/ 100 km thick and is defined by its machanical properties.the lithosphere contains oceanic and continental crust that varies in age and thickness across locations and geologic time. the lithosphere is the coolest layer of the earth in terms of temperature. the term lithosphere should not be confused with the use of "geosphere" which is used to indicate all of earth systems, including the atmosphere, hydrosphere   and biosphere. the surface of the earth can be divided into the continental crust and the oceanic crust.   the continental crust is made mostly of granite while the oceanic crust is made of basalt. the average thickness of the continental crust is 25 miles and the average thickness of the oceanic crust is 5 miles.   three types of rock, igneous, sedimentary, and metamorphic, make up the surface of the earth. that's why 3 option is preferable.