Tank a Contains 80 Gallons of Water in Which 20 $x ( t )$

question 11

Multiple Choice

Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains 30 gallons of water in which 5 pounds of salt has been dissolved. A brine mixture with a concentration of 0.5 pounds of salt per gallon of water is pumped into tank A at the rate of 4 gallons per minute. The well-mixed solution is then pumped from tank A to tank B at the rate of 6 gallons per minute. The solution from tank B is also pumped through another pipe into tank A at the rate of 2 gallons per minute, and the solution from tank B is also pumped out of the system at the rate of 4 gallons per minute. The correct differential equations with initial conditions for the amounts, $x ( t )$ and $y ( t )$ , of salt in tanks A and B, respectively, at time t are

• A) \(\frac { d x } { d t } = 2 - x / 40 + y / 5 , \frac { d y } { d t } = x / 40 - y / 3 , x ( 0 ) = 20 , y ( 0 ) = 5\)
• B) \(\frac { d x } { d t } = 2 - 3 x / 40 + y / 15 , \frac { d y } { d t } = 3 x / 40 - y / 5 , x ( 0 ) = 20 , y ( 0 ) = 5\)
• C) \(\frac { d x } { d t } = 4 - 3 x / 40 + y / 15 , \frac { d y } { d t } = 3 x / 40 - y / 5 , x ( 0 ) = 20 , y ( 0 ) = 5\)
• D) \(\frac { d x } { d t } = 4 - x / 40 + y / 5 , \frac { d y } { d t } = x / 40 - y / 3 , x ( 0 ) = 20 , y ( 0 ) = 5\)
• E) \(\frac { d x } { d t } = 2 - 3 x / 40 + y / 5 , \frac { d y } { d t } = x / 40 - y / 5 , x ( 0 ) = 20 , y ( 0 ) = 5\)

Differentiate between organelles found in prokaryotes and eukaryotes and their functions.

Analyze and determine cell structures and their functions using different experimental techniques.

Understand the legal framework and parties' rights and liabilities in cases of trespass, nuisance, and conversion.

Identify and analyze elements involved in defamation cases, including slander, libel, and special damage requirements.

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Definitions:

Martin Luther King Jr.

An influential American civil rights leader known for his advocacy for nonviolent protest against racial discrimination during the 1950s and 1960s.

Rosa Parks

An African American civil rights activist known for refusing to give up her bus seat to a white person in Montgomery, Alabama, in 1955, an act that sparked the Montgomery Bus Boycott.

Brown V. Board Of Education

A landmark 1954 Supreme Court case that declared state laws establishing separate public schools for black and white students to be unconstitutional.

White South

A term referring to the American South's sociopolitical and cultural environment, highlighting its historical context of racial segregation and dominance by white Americans.