Assuming That the Equations Define X and Y Implicitly as Differentiable

question 137

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.
- $$x ( t + 1 ) - 4 t \sqrt { x } = 36,2 y + 4 y ^ { 3 / 2 } = t ^ { 3 } + t , t = 0$$

• A) \(- 24\)
• B) \(- 12\)
• C) \(- \frac { 1 } { 24 }\)
• D) \(- \frac { 1 } { 12 }\)

---

Definitions:

Processing Float

The time delay between when a check is written and when it is actually deducted from the payer's account, often utilized in managing company cash flows.

Cash Balances

Cash balances refer to the amount of currency, coins, and balances in checking and savings accounts that a company holds at any given time.

Pledging Agreement

A contract in which a borrower pledges an asset as collateral for a loan, ensuring the lender can seize the asset if the loan is not repaid.

Account Receivable

Money owed to a business by its clients or customers for goods or services delivered or used but not yet paid for.