Find the solution to the heat equation on 0 < x < l,
with u(0, t) = 0, u_x(l, t) = 0, and u(x, 0) = phi(x).
This is sometimes called a "mixed" boundary condition.

a heat transfer experiment consist of a stream of air blowing over a heated horizontal plate. what causes the formation of both velocity and thermal boundary layers? what causes a difference in thickness between them?

When a wave passes through a boundary and into a new medium, which of the following characteristic of this wave don't change? And which do? a) wavelength b) Frequency c) speed d) both a and b e) none

11. Solve numerically the following Boundary Value Problem.

X²Y” – X(X+2)Y’ + (X+2)Y = 0

Y(1) = e and Y(2) = 2e²

The value of e = 2.71828

The Centurion, Inc had the following balance sheet as of 12/31/01

Cash $20,000

A/R $21,200

Investments $32,000

Plant assets (net) $81,000

Land $40,000

A/P - $30,000

Bonds Payable - $41,000

Common Stock $100,000

Retained Earnings $23,200

During the year 2002, the following occurred

1. Centurion liquidates its available-for-sale debt investment portfolio at a loss of $5,000
2. A tract of land was purchase for $38,000
3. AN additional $30,000 in common stock was issue at par.
4. Dividends totaling $10,000 were declared and paid to stockholders.
5. Net income for 2002 was $35,000, including $12,000 in depreciation expense
6. Land was purchased through the issuance of $30,000 in additional bonds.
7. At 12/31/02, Cash was $70,200. A/R was $42,000. A/P was $40,000.

1. Prepare a statement of cash flows for the 2002.
2. Compute Free Cash Flow and Current Cash Debt Coverage

Problem 3

The Centurion, Inc had the following balance sheet as of 12/31/01

Cash $20,000

A/R $21,200

Investments $32,000

Plant assets (net) $81,000

Land $40,000

A/P - $30,000

Bonds Payable - $41,000

Common Stock $100,000

Retained Earnings $23,200

During the year 2002, the following occurred

1. Centurion liquidates its available-for-sale debt investment portfolio at a loss of $5,000
2. A tract of land was purchase for $38,000
3. AN additional $30,000 in common stock was issue at par.
4. Dividends totaling $10,000 were declared and paid to stockholders.
5. Net income for 2002 was $35,000, including $12,000 in depreciation expense
6. Land was purchased through the issuance of $30,000 in additional bonds.
7. At 12/31/02, Cash was $70,200. A/R was $42,000. A/P was $40,000.

1. Prepare a statement of cash flows for the 2002.
2. Compute Free Cash Flow and Current Cash Debt Coverage

"Using Python, code to find the smallest and largest planet mass (if known), and plot these as two curves against the year of discovery"

Basically looking to use data from an excel sheet where 'disc_year' and 'pl_mass' are columns of data; and code Python to find the maximum value of mass and the minimum value of mass for each year, then plot this as two curves. There are multiple planets for any given year hence multiple values for mass. Below is example of what data might be.

Example data: Mass - 5.5, 0.2, 6, 56, 209, 0.3, 44, 124, 403, 98, 304, 202, 11.7, 5.4, 17.8, 21.9, 603.3, 108.2, 19, 0.3

Year - 2019, 2019, 1994, 2002, 2001, 2016, 1994, 2019, 2002, 2001, 2016, 2015, 2015, 1999, 2002, 1999, 1999, 2015, 2001, 2016

Campbell v. Carr

603 S.E.2d 625, Web 2004 S.C. App. Lexis 276 (2004)

Court of Appeals of South Carolina

“This inadequate consideration combined with Carr’s weakness of mind, due to her schizophrenia and depression, makes it inequitable to order specific performance.”

—Anderson, Judge

Facts

Martha M. Carr suffered from schizophrenia and depression. Schizophrenia is a psychotic disorder that is characterized by disturbances in perception, inferential thinking, delusions, hallucinations, and grossly disorganized behavior. Depression is characterized by altered moods and diminished ability to think or concentrate. Carr was taking prescription drugs for her mental diseases. Carr, a resident of New York, inherited from her mother a 108-acre tract of unimproved land in South Carolina. Carr contacted Raymond C. and Betty Campbell (Campbell), who had leased the property for 30 years, about selling the property to them. Carr asked Campbell how much the property was worth, and Campbell told Carr $54,000. Carr and Campbell entered into a written contract for $54,000. Campbell paid Carr earnest money. Carr subsequently missed the closing day for the sale of the property, returned the earnest money, and refused to sell the property to Campbell. Campbell sued Carr to obtain a court judgment ordering Carr to specifically perform the contract. At trial, evidence and expert witness testimony placed the value of the property at $162,000. Testimony showed that Campbell knew the value of the property exceeded $54,000. The court agreed with Campbell and ordered Carr to specifically perform the contract. Carr appealed.

Issue

Does Carr, because of her mental diseases of schizophrenia and depression, lack the mental capacity to enter into the contract with Campbell?

Language of the Court

This inadequate consideration combined with Carr’s weakness of mind, due to her schizophrenia and depression, makes it inequitable to order specific performance.

Decision

The court of appeals held that Carr’s mental diseases of schizophrenia and depression affected her ability to make an informed decision regarding the sale of the property. The court held that Carr did not have to sell her property to Campbell.

Ethics Questions

Should Carr have been relieved of her contracts? Did the Campbells act unethically in this case?

Based on Paul’s letter to the Corinthian church, the focus was on equity rather than strict equality. Discuss how these teachings might guide the Christian health administrator in mastering the challenges of addressing cost, quality, and access in healthcare delivery.