Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

question 306

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-In the study of alternating electric current, capacitive voltage is given by $V _ { C } = - \frac { i } { 2 \pi f } \cos 2 \pi f t$ , where $\mathrm { f }$ is the number of cycles per second, $\mathrm { i }$ is the maximum current, and $\mathrm { t }$ is the time in seconds. Solve the equation for $\mathrm { t }$ .

• A) \(t = 2 \pi f \cos \left( - \frac { 2 \pi f V _ { C } } { i } \right)\)
• B) \(t = \frac { 1 } { 2 \pi f } \arccos \left( \frac { 2 \pi f V _ { C } } { i } \right)\)
• C) \(\mathrm { t } = \frac { 1 } { 2 \pi \mathrm { f } } \arccos \left( - \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)\)
• D) \(t = 2 \pi f \arccos \left( - \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)\)

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Definitions:

Variable Costs

Costs that vary directly with the level of production or sales volume, such as raw materials and direct labor expenses.

Variable Cost

Expenses incurred by a business that vary directly with the level of production or sales volume, such as cost of goods sold.

Net Present Value

The difference between the present value of cash inflows and the present value of cash outflows over a period of time, used to assess the profitability of investments.

Discount Rate

An interest rate used by central banks to lend money to commercial banks, intended to influence the broader economy.