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A sample of 14 grams of radioactive material is placed in a vaut let Pll be the amount remaining for years, and set Plt) saray the differential equation P(-0.009P1). Answer parts through ) (a) Fed the formula for PC (Type an expression using as the variable) (b) What is POJ? POD (c) What is the decay constant? (d) How much of the material will remain after 10 years? Type an integer er decimal rounded to one decimal poco usmeeded How fast is the sample integrating when just gram emai? Un equation Choose the correct process to find how the sample thintegrating wengan remains OASove1-0030P for O E PO-00901) O Evaluate P-01) OD Sol P-0.0300 for Pro The wrote a cartegrating by mou Warum

What amount of radioactive material remains when it is disintegrating at a rate of 0.102 gram per year? Choose the correct process to find the amount of radioactive material that remains when it is disintegrating at a rate of 0.102 gram per year. O A Evaluate P'(t) = -0.039P(-0.102). OB. Solve P'(-0.102)=-0.039P(t) for P(t). OC. Solve - 0.102 = -0.039P(t) for P(t). D. Evaluate P'O) - -0.039(-0.102). There will be of radioactive material left when it is disintegrating at a rate of 0.102 gram per year. (Type an integer or decimal rounded to one decimal place as needed) (a) The radioactive material has a half-life of 36 years. How much will remain after 36 years? 72 years? 108 years? After 36 years, there will be of radioactive material loft After 72 years, there will be of radioactive material left After 100 years, there will be of radioactive material left