MATH 254 Stanford University Math Quiz Questions Could you please solve the rest of these questions, This is for the rest of 1.3. webwork / math_254-harris

MATH 254 Stanford University Math Quiz Questions Could you please solve the rest of these questions, This is for the rest of 1.3. webwork / math_254-harris-ss2020 / sec_1.3/2
sec 1.3: Problem 2
Previous Problem
Problem List
Next Problem
(1 point) Solve (t2 + 25) dx = (x2 + 4), using separation of variables, given the inital condition x(0) = 2.
X =
help (formulas)
Preview My Answers
Submit Answers
You have attempted this problem 0 times.
You have unlimited attempts remaining.
Email WebWork TA
sec 1.3: Problem 7
Previous Problem
Problem List
Next Problem
(1 point) A bacteria culture starts with 300 bacteria and grows at a rate proportional to its size. After 8 hours, there are 6000 bacteria.
Find an expression for the number of bacteria after t hours.
help (formulas)
Find the number of bacteria after 9 hours.
help (numbers)
Find the growth rate after 9 hours.
help (numbers)
After how many hours will the population reach 30000?
help (numbers)
Note: You can earn partial credit on this problem.
PrAVIAW My Answers
Submit Ansar
sec 1.3: Problem 6
Previous Problem
Problem List
Next Problem
dy
(1 point) Find the equation of the solution to
dx
– x®y through the point (x, y) = (1,5) in the form y =?.
help (equations)
Preview My Answers
Submit Answers
You have attempted this problem O times.
You have unlimited attempts remaining.
Email WebWork TA
Page generated at 07/15/2020 at 06:36pm MST
-$52020 / sec_1.3 / 8
sec 1.3: Problem 8
Previous Problem
Problem List
Next Problem
(1 point) The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after
which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5583 years (half-life is how long it takes
for half of the carbon-14 to decay). Suppose C(t) is the amount of carbon-14 present at time t.
Find the value of the constant k in the differential equation C’ = -kC.
k =
help (numbers)
In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the
amount of carbon-14 contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in 1988, according to these data?
Age =
years help (numbers)
[1]: The New York Times, October 18, 1988.
Note: You can earn partial credit on this problem.
Preview My Answers
Submit Answers
You have attempted this problem 0 times.
You have unlimited attempts remaining.
sec 1.3: Problem 1
Previous Problem
Problem List
Next Problem
(1 point)
Find the solution to the differential equation
dx = y*(1 + x),
such that y = 8 when x = 1.
y =
help (formulas)
Preview My Answers
Submit Answers
You have attempted this problem 0 times.
You have unlimited attempts remaining.

Purchase answer to see full
attachment