Question: Please help me solve these 5 calculus questions. NO HALF ANSWERS PLEASE (ANSWER ALL QUESTIONS)!!! If the rate of change of T is proportional to

Please help me solve these 5 calculus questions. NO HALF ANSWERS PLEASE (ANSWER ALL QUESTIONS)!!!

  1. If the rate of change of T is proportional to (30+T) where T> -30. If T(0)=4 and T(2)=6. What is T(5).
  2. The rate of change of N is proportional to (10+T) where N> -10. If N(0)=4 and N(2)=15. What is N(5).
  3. The number of childern in a church is increasing at a rate that is proportional to the number of childern present each year. If the churcha starts out with 4 kids, and after 3 years there are 15 kids. What is the number of kids after 5 years?
  4. Jaber's grade in his math class is related to the number of hours he studies. If the rate of change of his grade G(t) is proportional to (100-G) where t is measured in hours and G(t) is his grade after t hours of study. Knowing that the highest grade is 100. If G(0)=60, he can get a 60 without any studying. After 10 hours, Sue's grade would be a 75. What score could Jaber expect if he studied 20 hours?
  5. A rate of change H is given by dH/dt=k(15+H). When t=0, H=20. When t=2, H=50. Solve for k where H>-15

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