a. Carbon-14 has half life of 5730 years. If initial mass of carbon-14 was 7 grams how much it will remain after 8000 years? dm = -km with initial condition m(0) = mo and to dt Please note: It is MUST to solve differential equation m include working out as part of your submission.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a. Carbon-14 has half life of 5730 years. If initial mass of carbon-14 was 7 grams how much it will remain after
8000 years?
dm
=
-km with initial condition m.(0)
= mo and to
Please note: It is MUST to solve differential equation m
include working out as part of your submission.
dt.
b. Find the general solution of the first order linear differential equation:
(2 + 4x²)+8ay = 3.
Note: Calculator is not allowed, and all relevant steps must be shown to get full marks.
Transcribed Image Text:a. Carbon-14 has half life of 5730 years. If initial mass of carbon-14 was 7 grams how much it will remain after 8000 years? dm = -km with initial condition m.(0) = mo and to Please note: It is MUST to solve differential equation m include working out as part of your submission. dt. b. Find the general solution of the first order linear differential equation: (2 + 4x²)+8ay = 3. Note: Calculator is not allowed, and all relevant steps must be shown to get full marks.
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