Construct a BOD demand curve for a sample that has a first order reaction constant K of 0.16 day–1 (base 10) and a nitrogenous reaction constant KN 0.08 day–1 (base 10). Nitrification is not significant until a period of 7.5 days has passed. The ultimate first stage BOD is 335 mg/L and the ultimate nitrogenous demand is 120 mg/L. 1) What is the total BOD exerted at 10 days? 2) How many complete days are required to exert at least 90% of the expected demand?

A simply supported beam 10m long carries a uniform load of 24 kN/m. Using E = 200 GPa, I = 240x10^6 mm⁴

Using CBM (conjugate beam method):

A. Determine the rotation (in degrees) of the beam at a point 4m from the left support.

B. Determine the deflection at a point 4m from the left support.

Q. Describe briefly how the coefficient of consolidation (Cv) value can also be estimated based on a full scale loading trial. Explain why it is more reliable to use the Cv value obtained from a field trial than from a lab test ?

Describe a safety hazard you've encountered in the workplace? How was the hazard corrected? Did anyone get injured? Were you involved in correcting the hazard? What was the final outcome? If it was not corrected, what do you think should have been done?

Calculate the first three frequencies of axial vibration of a bar fixed at one end.

I. Solve the homogeneous differential equations with the constant coefficient.

a. ? ′′ + 5? ′ + 6? = 0

b. 4? ′′ − 8? ′ + 3? = 0 ? (0) = 2, ? ′ (0) = ½

 II. Solve non-homogeneous differential equations with the indeterminate coefficient method.

a. ?′′ − 3? ′ = 5cos(?)

b. ? ′ ′ + 5? ′ + 2? ′ = 7? 3?

III. Solve non-homogeneous differential equations with the parameter variation method.

a. ? ′′ − 2? ′ + 3? = ? 2? ? 2

b. ? ′′ − ? = 3??(?)

IV. Solve non-homogeneous differential equations by the operator’s method.

a. 3? ′′ + 3? ′ + ? = √?? −?

b. 6? ′′ − 2? ′ + ? = ? 2

a) Calculate the gross vehicle weight (GVW) (kg)

(Answer in kg)

b) Calculate maximum tractive force (kN) on road at driving wheels when loaded

(Answer in kN)

c) Calculate the effective grade % on the haul road.

d) Calculate total resistance (kg) while hauling.

e) Calculate the total cycle time (minutes).

f) Calculate production rate, in Bank m³/hr.

1. Solve for the area between x^3 − 6x^2 + 8x − y = 0 and the x − axis.

2. Solve for the area bounded by y^2 + x − 4 = 0 and the y − axis.

3. Solve for the area of the arch of the cycloid x = θ − sinθ, y = 1 − cosθ.

4. Solve for the area bounded by x^2 − 2x − y = 0 and x^2 − 6x + y = 0.

A developer is going to build a new commercial building in Kowloon Tong. The features of the building are described as follows:

12. Number of storey: 25 floors
13. Floor areas: approx. 600m2 (each floor)
14. Core areas: approx. 100m2 (each floor)
15. G/F to 2/F: Restaurant premises (40% of the UFA); Retail establishments (60% of the UFA)
16. 3/F to 25/F: Office premises

Note: UFA denotes Usable Floor Area

i ) Calculate the total cooling load for a given building.

This part fulfills the requirement of P5

researchers were interested in the effects of cannibis and ecstacy on abstract thinking.Participants were given a task that required them to solve problems/tasks using abstract thinking.Researchers also included a group of nonusers. Base on the scenario, identify the Idependent variable and the dependent variable. Is the IV a quasi or experimental?. what is the research question.

A beam with a cross-section of 0.3 m x 0.7 m has an effective depth of 0.638 m and a span of 4.30 m. Use the following data below to determine (a) the steel requirement due to flexure, (b) ultimate threshold torsion, and (c) spacing of stirrup due to combined shear and torsion:

M_u = 322 KN-m

V_u = 317 KN

T_u = 42 KN-m

f'c =28 MPa

f_yt = 414 MPa

12 mm stirrup diameter

cover of 0.04 m