Assuming That the Equations Define X and Y Implicitly as Differentiable

question 362

Multiple Choice

Assuming that the equations define x and y implicitly as differentiable functions x = f(t) , y = g(t) , find the slope of the curve x = f(t) , y = g(t) at the given value of t.
- $$x = t \sin t + t , y \cos t + y = 2 t , t = \frac { \pi } { 2 }$$

• A) \(\frac { 2 + \pi } { 2 }\)
• B) \(\frac { 2 } { 2 + \pi }\)
• C) \(2 + \pi\)
• D) \(- \frac { 2 } { 2 + \pi }\)

---

Definitions:

Plagiarism

The practice of using someone else's work or ideas without proper attribution, considered unethical and often a violation of academic or professional standards.

APA Documentation Style

A citation style defined by the American Psychological Association, used mainly in social sciences for structuring papers.

Title Page

The initial page of a book or document that contains its title, author, publisher, and other publication information.

MLA Style

MLA Style is a set of guidelines for writing and formatting research papers and reports, particularly in the humanities, established by the Modern Language Association.