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3 years ago

Sentences using the words chortled and phenomenon

1 answer:

6 0

The girl chortled at the phenomenon going on between the dog and the cat.

(Hope that's ok, this is my first time answering a question!)

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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

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

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

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

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

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

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3 years ago

I read newspaper I can get recent news because ,although ,so that

strojnjashka [21]

um oki ...... -_- ahhhahahhahahah

4 0

2 years ago

2+2 my question must be 20 characters long

geniusboy [140]

It is four. So two and two you add them together to be four. Good job. Your learning :)

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3 years ago

Four times as many apples. Algebraic expression

Leno4ka [110]

4x. hope that helped

8 0

3 years ago

Amanda purchased a 30 year $10,000 bond at par value with a 4% coupon. What is the total value of the coupons

klasskru [66]

Amanda purchased a 30 year $10,000 bond at par value with a 4% coupon.

We find the coupon amount each year

Coupon amount = actual amount of bond * 4%

= 10,000 * 0.04 = 400

Coupon amount for every year = 400

Total value of coupons for 30 years = 400 * 30 = 12000

$12,000 is the total value of the coupons

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3 years ago

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