This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 14-g sample. (a) Find a function m(t) mg2 that models the mass remaining after t years. m(t) = 14(2) (b) Find a function m(t) = me that models the mass remaining after t years. (Round your rvalue to four decimal places.) m(r) = (c) How much of the sample will remain after 79 yeans? (Round your answer to one decimal place.) (d) After how many years will only 2g of the sample remain? (Round your answer to the nearest whole number) yr

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A: As per the policy we are solving first 3 sub parts of the given questions. Given :  f : ℤ6→ℤ6…

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Q: 1. Let f : Z6 → Z6 be such that f(7) = x2 + 3. (a) Is f a well defined function? (b) Is f…

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Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

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Q: Evaluate the iterated integral: dydr.

A: The given integral is∫141∫x2xxydydxThe integral is determined as shown below.

Q: ... 4 B = (-1,4) A A = (1,0.25) %3D -4 -3 -2 -1 2 3 4 5 A y= - 4× y=4-x O f(x) =| D y=4•1*

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…