Write a Polar Equation In $r$ And $\theta$ Of an Ellipse with the Focus at the Origin, with Ellipse

question 37

Multiple Choice

Write a polar equation in $r$ and $\theta$ of an ellipse with the focus at the origin, with the eccentricity $\frac { 6 } { 7 }$ and directrix $x = - 13$ .

• A) \(r = \frac { 78 } { 7 - 6 \cos \theta }\)
• B) \(r = \frac { 13 } { 7 + 6 \cos \theta }\)
• C)
• \(r = \frac { 78 } { 1 - 6 \cos \theta }\)
• D)
• \(r = \frac { 78 } { 7 + 6 \cos \theta }\)
• E)
• \[r = \frac { 6 } { 3 - 6 \sin \theta }\]

Calculate specific values given mean, standard deviation, and z-scores in a normal distribution.

Determine comparative performance across different examinations using standard deviation and mean.

Interpret the probability of a Z-score in a standard normal distribution.

Understand the relationship between percentiles and Z-scores in normal distributions.

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Definitions:

Convertible Bond

A type of bond that can be converted into a predetermined number of the issuer's equity shares.

In the Money

A term used in options trading indicating that the option has intrinsic value.

Call

An option contract giving the owner the right, but not the obligation, to buy a specified amount of an underlying asset at a set price within a specified time.

Positive Intrinsic Value

The condition where an option or other financial instrument has a market price below its calculated value, suggesting undervaluation.