Solve the Initial Value Problem for Y as a Function $$\sqrt { 49 - x ^ { 2 } } \frac { d y } { d x } = 1 , x < 7 , y ( 0 ) = 12$$

question 375

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$\sqrt { 49 - x ^ { 2 } } \frac { d y } { d x } = 1 , x < 7 , y ( 0 ) = 12$$

• A) \(y = \ln | \sec x + \tan x | + 12\)
• B) \(y = \ln | \sec x + \tan x |\)
• C) \(y = \sin ^ { - 1 } \frac { x } { 7 }\)
• D) \(y = \sin ^ { - 1 } \frac { x } { 7 } + 12\)

---

Definitions:

Odds of Winning

A numerical expression that represents the likelihood of winning a game, bet, or any situation where there is a competition with a possible outcome.

Representativeness Heuristic

A cognitive bias in decision making where the likelihood of an event is judged based on how similar it is to the population it came from, often leading to errors in judgment.

New Neighbour

A person who has recently moved into a residence or area close to one's own living space.

Horn-Rimmed Glasses

Eyeglasses with frames made from horn or a material designed to simulate horn, often associated with a retro or intellectual look.