Solve the Formula $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { f ^ { 2 } } = 1 ; y$

question 52

Multiple Choice

Solve the formula $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { f ^ { 2 } } = 1 ; y$
for the indicated variable.

• A)\(y=\sqrt{f(2-x a)(1+x a)}, y=-\sqrt{f(2-x a)(1+x a)}\)
• B)\(y=f \sqrt{\left(1-\frac{x}{a}\right)\left(1+\frac{x}{a}\right)}, y=-f \sqrt{\left(1-\frac{x}{a}\right)\left(1+\frac{x}{a}\right)}\)
• C)\(y=f \sqrt{\left(a-\frac{x}{a}\right)\left(a+\frac{x}{a}\right)}, y=-f \sqrt{\left(a-\frac{x}{a}\right)\left(a+\frac{x}{a}\right)}\)
• D)\(y=\sqrt{f\left(1-\frac{x}{a}\right)^{2}}, y=-\sqrt{f\left(1-\frac{x}{a}\right)^{2}}\)
• E)\(Y=f(1-x a)(1+x a), Y=-\sqrt{f(1-x a)(1+x a)}\)

---

Definitions:

Cable Television

A system of delivering television programming to paying subscribers via radio frequency (RF) signals transmitted through coaxial cables.

Marginal Revenue

The increase in revenue that results from selling one additional unit of a product or service.

Marginal Revenue

The added income a company secures by disposing of an additional unit of a good or service.

Demand Curve

A graphical representation that shows the relationship between the price of a good or service and the quantity demanded by consumers.