In a paragraph or 2, pick 3 of the 4 molecules (protein, carbohydrates, nucleic acids and lipids) and talk about why those 3 molecules that you picked are important for our health. Also talk about bonds types and how the types of bonds makes those molecules good for it function.

In a paragraph or 2, pick 3 of the 4 molecules and talk about why those 3 molecules that you picked are important for our health. Also talk about bonds types and how the types of bonds makes those molecules good for it function.

Fluid Mechanics: A water tank is a cylinder 4 m in height and 2 meters in diameter. The tank is full at time t_o. The tank sits on a platform 12 m tall. A water tap is located at the bottom center of the tank. The tap, when actuated, opens to a pipe 5 cm in radius.

a.       Write down Bernoulli’s equation. Identify the Pressure, Kinetic and Potential Energy terms. Show that each has the units of an energy density (Joules/Volume).

b.       Use Bernoulli’s equation to compare the difference in pressure between the surface of the water and the bottom of the tank near the edge? Assume the fluid is motionless near the edge.

c.       When a tap is opened water rushes in to a pipe 5 cm in radius. The pipe is straight and drops 12 m to ground level, but along the way slowly in radius to 2 cm. What is the speed of the water as it emerges from the pipe?

d.       Use the continuity equation to find the speed of the water as it enters the pipe 12 m above, i.e. bottom of the tank.

e.       What is the volume and mass flow rate of the stream of water?

f.        What is the pressure of the fluid as it enters the pipe, again at the bottom of the tank.

2. A jar contains 5 balls, 4 of which are blue and one red.

(a) If you draw balls one at a time and replace them, what is the expected draw at which

you will see the red ball?

(b) If you draw balls one at a time, but without replacing them, what is the expected time

to see the red ball?

3. A jar contains 1 red ball and an unknown number of blue balls. You make 20 draws with

replacement from the jar. What is a maximum likelihood estimator of the number of blue

balls in the jar?

Please use the following information for Questions 2, 3, and 4.

To determine whether there was a relationship between the region of the world that you live in and the amount of beer that you drink, suppose we took 3 samples of 25 people per region from Asia, Europe and America.

2) If we let µ₁, µ₂, and µ₃ be the average calcium intake per day in milligrams for people with diagnosed osteopenia, osteoporosis or neither (healthy controls), respectively, the appropriate hypotheses in this case are:

a) H₀: μ₁ = μ₂ = μ₃

H_a: μ₁, μ₂, μ₃, are not all equal

b) H₀: μ₁, μ₂, μ₃, are not all equal

H_a: μ₁ = μ₂ = μ₃

c) H₀: μ₁ ≠ μ₂ ≠ μ₃

H_a: μ₁ = μ₂ = μ₃

d) None of the above are correct.

3) Here are the three sample standard deviations for the calcium intake for the three groups (osteopenia, osteoporosis or neither (healthy controls)):

Based on this information, do the data meet the condition of equal population standard deviations for the use of the ANOVA?

a) Yes, because 287.7 - 147.2 < 2.

b) Yes, because 287.7147.2<2287.7147.2<2.

c) No, because 287.7 - 147.2 > 2.

d) No, because the standard deviations are not equal.

4)

The analysis was run on the data and the following output was obtained:
ANOVA table

Based on this information, we :

a) Fail to reject the H₀ and conclude that the data do not provide sufficient evidence that there is a relationship between calcium intake and bone health.

b) Fail to reject the H₀ and conclude that the data provide strong evidence that the three means (representing calcium intake and bone health) are not all equal.

c) Reject the H₀ and conclude that the data provide strong evidence that there is a relationship between between calcium intake and bone health.

d) Reject the H₀ and conclude that the data provide strong evidence that calcium intake is related to bone health in the following way: the mean for healthy people is higher than the mean for people with Osteopenia, which in turn is higher than that for people with Osteoporosis.

23. Given a = 5, b = 4, c = 2, evaluate the following:

a) a//c

b) a % b

c) b **c

d) b *= c

27. Given the following

var_1 = 2.0

var_2 = "apple"

var_3 = 'orange'

var_4 = 4

Predict the output of the following statements or indicate that there would be an error.

a) print (var_1)

b) print (var_2)

c) print ("var_3")

d) print (var_1 / var_4)

e) print (var_4 + var_3)

f) print (var_2 + var_3)

2) Show 4 digits to the right of the radix point.

a) Convert 94.87₁₀ to binary. Show your work.

b) Convert 101101.111 to decimal. Show your work.

A closed container with a volume of 2 m3 contains 4 kg of saturated liquid and saturated steam mixture water at 200 kPa pressure. Heat is given from the ambient temperature of 160⁰C until the water in the container is completely saturated. Note: T (K) = 273 + ºC
a) Find the entropy change of the system.
b) Find the heat transfer to the container.
c) Find the total entropy change.

Choose any 2 out of the 4 types of unemployment. a) Define and discuss that type of unemployment. (2 each x 2 = 4 marks) b) Provide an example. (1 each x 2 = 2 marks) c) What solutions can governments try to address that type of unemployment. (2 each x 2 = 4 marks)

Consider a thin flat rectangular region that of size 4 x 2 m2 and it is electrically insulated at its four corners. (A)Solve Laplace’s equation  2 V(x,y) = 0 in the rectangular region 0 < x < 4 m and 0 < y < 2 m using the separation of variable technique subject to the following boundary conditions:
V(0,y) = 0
V(4,y) = q(y) = 50 sin (3π y / 2)
V(x,0) = 0
V(x,2) = f(x) =100 sin (π x / 4)
(B) Use the result of part (A) to find the corresponding electric field inside the region.