Write the Function in the Form Y = F(u) and U

question 58

Multiple Choice

Write the function in the form y = f(u) and u = g(x) . Then find dy/dx as a function of x.
- $$y = \cot ( 10 x - 5 )$$

• A) \(y = \cot u ; u = 10 x - 5 ; \frac { d y } { d x } = - 10 \cot ( 10 x - 5 ) \csc ( 10 x - 5 )\)
• B) \(y = 10 u - 5 ; u = \cot x ; \frac { d y } { d x } = - 10 \cot x \csc ^ { 2 } x\)
• C) \(y = \cot u ; u = 10 x - 5 ; \frac { d y } { d x } = - 10 \csc ^ { 2 } ( 10 x - 5 )\)
• D) \(y = \cot u ; u = 10 x - 5 ; \frac { d y } { d x } = - \csc ^ { 2 } ( 10 x - 5 )\)

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Definitions:

Clearing Times

The period it takes for funds to be transferred from one account to another and become available for use.

Payments

The transfer of money or goods from one part to another as a settlement of an obligation or purchase.

Weighted Average Delay

A measure of the average time delay experienced, factoring in the varying weights of each delay's impact.

Collection Delay

The time it takes for a company to receive payment from its customers for invoices issued.