Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let S be the sum of the number and its reciprocal. Write the objective function in terms of x. S(x) nothing The interval of interest of the objective function is nothing. (Simplify your answer. Type your answer in interval notation.) The number is 0.

--- Objective function

Interval =

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

Hence, the objective function is:

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

Equate S'(x) to 0 in order to solve for x

Subtract 1 from both sides

Multiply both sides by -1

Cross Multiply

Take positive square root of both sides because x is positive

Representing x using interval notation, we have

Interval =

To get the smallest sum, we substitute 1 for x in

Hence, the smallest sum is 2

1

step-by-step explanation:

you are throwing one dart

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.