Conic Sections Quiz

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What is the locus of a point that moves so that the sum of its distances from two fixed points is constant?

An ellipse

What is the definition of a tangent to a conic?

A line that touches the conic at only one point

What is the focus of a point that moves so that its distance from a fixed point and a fixed line is always equal?

A parabola

What is the locus of a point that moves so that it is always equidistant from a fixed point?

<p>A circle</p> Signup and view all the answers

In polar coordinate system, when is the polar angle positive?

<p>When measured counterclockwise</p> Signup and view all the answers

What is the plane rectangular coordinate system divided into?

<p>Quadrants</p> Signup and view all the answers

What is the rectangular coordinate system in space divided into?

<p>Octants</p> Signup and view all the answers

What is the conic section whose eccentricity is greater than one?

<p>A hyperbola</p> Signup and view all the answers

Which type of business structure is characterized by a single owner?

<p>Single Proprietorship</p> Signup and view all the answers

What is an annuity?

<p>A series of uniform amounts over a period of time</p> Signup and view all the answers

What must two investments with the same present worth and unequal lives have?

<p>Different equivalent annual cash flows</p> Signup and view all the answers

What is perfect competition?

<p>A market structure where many firms compete with each other</p> Signup and view all the answers

What is utility?

<p>The ability of a product to satisfy human want</p> Signup and view all the answers

What is marginal revenue?

<p>The revenue earned from selling an additional unit of a product</p> Signup and view all the answers

What is a journal in accounting?

<p>A book where financial transactions are recorded in detail</p> Signup and view all the answers

What is depreciation?

<p>A decrease in the value of an asset over time</p> Signup and view all the answers

What is the term for the chord that contains a focus and a line perpendicular to the major axis in an ellipse?

<p>Latus rectum</p> Signup and view all the answers

What is the term for a legal entity possessing many of the legal powers of individuals?

<p>Corporation</p> Signup and view all the answers

Which of the following is not a part of a balance sheet?

<p>Cost of goods sold</p> Signup and view all the answers

What is the term for the cost of merchandise that includes freight and insurance cost?

<p>Freight-on-board</p> Signup and view all the answers

What is the term for a fund into which annual deposits are made in order to accumulate a fund at a future time?

<p>Sinking fund</p> Signup and view all the answers

What is the term for cash money credit necessary to establish and operate an enterprise?

<p>Capital</p> Signup and view all the answers

What is the term for the act of charging two or more buyers or sellers different prices for the same product?

<p>Price discrimination</p> Signup and view all the answers

What is the term for a formal organization of producers within an industry formed to increase profit and block newcomers from the industry?

<p>Cartel</p> Signup and view all the answers

What is the term for the price at which the quantity of a good that buyers want to buy is equal to the quantity that sellers want to sell?

<p>Equilibrium price</p> Signup and view all the answers

What is the length of time during which a property is capable of performing the function for which it was designed and manufactured?

<p>Economic life</p> Signup and view all the answers

What type of business entity is a distinct legal entity, separate from its owners?

<p>Corporation</p> Signup and view all the answers

How many faces does an icosahedron have?

<p>20</p> Signup and view all the answers

Which of the following cannot be a probability?

<p>0.43434343</p> Signup and view all the answers

What shape are the faces of a regular hexahedron?

<p>Square</p> Signup and view all the answers

What is the result of infinity minus infinity?

<p>Indeterminate</p> Signup and view all the answers

What is the result of any number divided by infinity?

<p>Zero</p> Signup and view all the answers

What is the shape of the path of a projectile?

<p>A parabola</p> Signup and view all the answers

What is the term for the outcome of an experiment?

<p>An event</p> Signup and view all the answers

What are curves that intersect a given family of curves at an angle less than 90° called?

<p>Isogonal trajectories</p> Signup and view all the answers

What is the term for a series of numbers that are perfectly square numbers?

<p>Fermat's number</p> Signup and view all the answers

What is the term for a sequence of numbers where every term is obtained by adding all the preceding terms?

<p>Triangle number</p> Signup and view all the answers

Which hypothesis states that equal volumes of all gases under the same conditions of temperature and pressure contain the same number of molecules?

<p>Avogadro's hypothesis</p> Signup and view all the answers

What is the ratio of the triaxial stress to the change in volume at equal stress in all directions?

<p>Bulk modulus of elasticity</p> Signup and view all the answers

According to Kepler's law, what determines the shape of the ellipse?

<p>Eccentricity</p> Signup and view all the answers

Study Notes

Conic Sections

  • A conic section whose eccentricity is greater than one is known as a hyperbola.
  • A conic section whose eccentricity is less than one is known as an ellipse.
  • A conic section whose eccentricity is equal to one is known as a parabola.

Coordinate Systems

  • In a polar coordinate system, the polar angle is positive when measured counterclockwise.
  • The distance from a point to the pole in a polar coordinate system is known as the radius.

Business and Economics

  • An annuity is a series of uniform amounts over a period of time.
  • An interest-earning fund in which equal deposits are made at equal intervals of time is called a sinking fund.
  • The decrease in value of a physical property due to the passage of time is known as depreciation.
  • The cost of merchandise, including freight and insurance costs, is known as freight-on-board.
  • The balance sheet is a statement showing the financial status of a company at a given time.
  • Cash money credit necessary to establish and operate an enterprise is known as capital.

Geometry

  • The length of time during which a property is capable of performing the function for which it was designed and manufactured is termed as economic life.
  • A regular hexahedron has faces that are squares.
  • Infinity minus infinity is indeterminate.
  • Any number divided by infinity is equal to zero.

Probability and Statistics

  • A possible outcome of an experiment is called an event.
  • A sequence of numbers where every term is obtained by adding all the preceding terms, such as 1, 5, 14, 30,…..is called a triangle number.

Science

  • The act of charging two or more buyers or sellers different prices for the same product is known as price discrimination.
  • The main cause of a leak from a faucet coming out in separate drops is surface tension.
  • The ratio of the triaxial stress to the change in volume at equal stress in all directions is known as the bulk modulus of elasticity.

Miscellaneous

  • A corporation is a legal entity possessing many of the legal powers of individuals.
  • The locus of a point that moves so that its distance from a fixed point and a fixed line is always equal is known as a parabola.
  • The plane rectangular coordinate system is divided into four parts, which are known as quadrants.
  • The rectangular coordinate system in space is divided into eight compartments, which are known as octants.

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