What is the end behavior of f (x)=3 x3 −4×2+x ?
a)What is the end behavior of f (x)=3 x3 −4×2+x ?
b) Find all roots of this equation. Find the y-intercept.
c) Use this information to sketch the graph of f(x)
Write a function to describe the product of a positive number and one minus the same positive number.
Write a function to describe the product of a positive number and one minus the same positive number.
a) Find the roots of this equation and plot it.
b) What type of equation is it?
Definition of a function
a) Give a definition of a function in your own words and create an example equation of your own to illustrate your definition.
b) Demonstrate how this function works with several inputs and outputs.
c) Use the vertical line test to prove your example is a function.
d) Give its domain and range.
What are the main objectives of reward management systems and how has best practice influenced the development of them?
What are the main objectives of reward management systems and how has best practice influenced the development of them?
Describe the key concepts in learning and development and are these fit for purpose in a post Covid world?
Describe the key concepts in learning and development and are these fit for purpose in a post Covid world?
Brexit and Covid impact on organisations
How will contemporary issues such as Brexit and Covid impact an organisations recruitment and selection practices, policies and procedures in the next decade?
What do organisations need to consider when implementing best practice performance management systems?
Mainstream functionalist perspectives and critical leadership
There appears to be much consensus in the leadership literature that leaders and leadership are vital in today’s organisation. Drawing upon both mainstream functionalist perspectives and critical leadership studies discuss the extent to which you agree with this statement.
The continuous dilution method
The continuous dilution method has been used to estimate the
discharge in a river. The baseline concentration of the tracer in the
stream is 58 ppm. A tracer solution of concentration of 8,000 ppm is
continuously injected into the stream at a rate of 1.8 L/s. At the
sampling point downstream, the observed stable concentration of tracer
is 250 ppm. What is the discharge of the stream?
The gulp method
The gulp method was used to determine the discharge of a mountain
stream. To determine the discharge, a 5 L tracer solution of 15,000 ppm
concentration was instantaneously injected in the stream. The
concentration C(t) was measured at the downstream sampling point,
and the discharge was determined as 3.85 L/s. During data
manipulation, the baseline concentration C0 data of the tracer was lost.
Based on the table below, determine C0.
Table Concentration C(t) measured at the sampling point.
t(s) C(t)
0 C0
2 457
4 3005
6 4270
8 2060
10 986
12 457
14 C0
BOD test
- A five day seeded BOD test has been conducted on a wastewater
sample at 20°C. A volume of 4 mL of the waste sample was added to a
300 mL BOD bottle along with 3 mL of microbial seed and the bottle
was then filled with dilution water. The initial dissolved oxygen (DO) of
the bottle was 8.8 mg/L and the final DO after 5 days was 5.7 mg/L. A
control seed-only bottle of 300 mL contained 30 mL of seed in dilution
water. The initial DO of this bottle was 8.8 mg/L and the final DO was
6.4 mg/L.
(i) What is the 5-day BOD of the wastewater sample?
(ii) If the reaction rate constant is 0.23 d-1 what is the ultimate BOD? - A town generates a combined industrial and domestic wastewater of
4400 m3/d and an average BOD5 of 500 mg/L. The industrial waste
content of the industrial wastewater amounts to 500 m3/d with an average BOD5 of 2000 mg/L.
(i) What is the percentage of total BOD5 load contributed by the
Industrial waste?
(ii) What is the BOD5 of the domestic wastewater only?
