A thin rectangular plate coincides with the region defined by 0 ≤ x ≤ π,
0 ≤ y ≤ 1. The left end and right end of the plate are insulated. The
bottom of the plate is held at temperature zero and the top of the plate
is held at temperature f(x) = 4 cos(6x) + cos(7x).
Set up an initial-boundary value problem for the steady-state
temperature u(x, y).

It is argued that organization can be a factor in decision making. In other words, they can influence decision-making in favor or against a decision maker. It is also argued that organizations or institutions by providing the framework or boundary, they shelter decision makers from making decisions that would have deleterious effect to other the decision-makers and the organization. Please discuss how organizations or institutions can act as a shelter against risk.

Write the heat conduction equation (without flow in and out) in cartesian coordinates for the following case:
1. Steady-state, 1-D, without heat generation (2 points)
2.Transient, 1-D, without heat generation (2 points)
3.Transient, 3-D, with heat generation (3 points)
3. Write the three types of boundary conditions. (3 points)

1. Light of wavelength 620nm in air is incident on a surface of a flat piece of glass with an index of refraction of

1.50 with an angle of incidence of 30°.

a.What is the angle of refraction?

-Answer: 19.5°

b. Find the wavelength and frequency of light in glass.

Answer: 413nm, 4.84x10¹⁴Hz

c.Explain under what circumstances “total internal reflection” can be observed at the boundary between air

and this piece of glass. Be as specific as possible.

Prepare a powerpoint presentation on “A Leadership Principle from the Life and Ministry of the Apostle Paul.” The purpose is too discover and assess the leadership principles used by a man of God whom the Lord blessed in crucial portion of church history and organize a lesson to teach others. Application: To learn how to improve your own leadership characteristics, methodologies, and results in your present or future ministry, as well as how to teach leadership to others.

TWO relevant examples of how healthcare provider organizations can leverage health information technology and improve processes to provide better patient quality of care. Response is supported by references to academic resources.

the debate rages on whether on academic or vocational qualification is more disirable . it is products to invest in a rilly secure employment as oppose to skills-based training. take a stance and argue your point with valid example

Islamic finance is receiving a lot of attention in academic research as well as in global
business. With reference to the tenets of Islamic Finance, discuss the appropriateness
of Islamic financial products as sources of project finance. [5 marks]

Write a 3-4-page academic paper that analyzes the key components of a strategic planning framework, assesses the value of using a strategic planning framework, and explains the role of leadership in the strategic planning process.

1.Use the Virtual Library to conduct research on effective speaking skills. Create an outline including the most important information.

2. Explain the term “claim” as used in academic writing and give an example.