Assuming That the Equations Define X and Y Implicitly as Differentiable

question 25

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.
- $$2 \mathrm { tx } + 4 \mathrm { t } ^ { 2 } = 4,2 \mathrm { y } - \mathrm { t } ^ { 2 } - \mathrm { t } = 0 , \mathrm { t } = 1$$

• A) \(\frac { 3 } { 2 }\)
• B) \(- \frac { 3 } { 8 }\)
• C) \(- 6\)
• D) \(\frac { 3 } { 8 }\)

---

Definitions:

Re-zone

Changing the zoning classification of a particular area to permit new uses or activities that were previously not allowed.

Misrepresentation

A false statement or deception made by one party that induces another to enter into a contract or agreement.

Market Price

The current price at which an asset or service can be bought or sold in a marketplace.

Liable

Being legally responsible for something, especially in terms of owing money or being obligated to perform under the terms of a contract.