Answer to Question #124101 in Calculus for Bernadet

Question

2. (a) A bowl of water has a temperature of 50
◦
C. It is put into a refrigerator where the temper
ature is 5
◦
C. After 0.5 hours, the water is stirred and its temperature is measured to be
20
◦
C. It is then left to cool further, take t in Newton’s law of cooling to be measured in
minutes. Use Newton’s law of cooling to predict when the temperature will be 10
◦
C.
[15 marks]
(b) Verify that the given family of functions solves the difffferential equation.
(i)
dy
dt
= (1 2t)y
2
, y =
1
C t + t2 . [10 marks]
(ii)
dy
dt
= y
2
sin t, y =
1
C + cost
. [10 marks]
(c) Evaluate the integral
Z
1
0
x
2
(√4 x2
)
3 dx [15 marks]

Answer 1

Dear Bernadet, your question requires a lot of work, which neither of our experts is ready to perform for free. We advise you to convert it to a fully qualified order and we will try to help you. Please click the link below to proceed: Submit order