Use an Inverse Function to Write $\theta$ As a Function of X

question 74

Multiple Choice

Use an inverse function to write $\theta$ as a function of x.

• A) \(\theta = \arctan \frac { \sqrt { x ^ { 2 } - 9 } } { 3 }\)
• B) \(\theta = \arctan \frac { 3 } { x }\)
• C) \(\theta = \arctan \frac { 3 \pi } { x }\)
• D) \(\theta = \arctan \frac { \sqrt { x ^ { 2 } + 9 } } { 3 }\)
• E) \(\theta = \arctan \frac { x } { 3 }\)

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Definitions:

Plasma Clearance

Volume of plasma per minute from which a substance can be completely removed by the kidneys.

Filtration Membrane

A semipermeable barrier, particularly in the kidney, that separates blood from the filtrate in the nephron's Bowman's capsule.

Renal Corpuscle

The renal corpuscle is a key component of the nephron in the kidney, consisting of the glomerulus and Bowman's capsule, where blood filtration begins.

Osmotic Diuretics

Substances that increase urine output by altering the osmotic balance of the filtration processes in the kidneys, often used to treat fluid retention.