2. Which of these values is the GREATEST? 63/7 450% 8.99 -22

The area of a rhombus can be evaluated using the formula 1/2 d1d2 , where d1 represents the measure of one of its diagonals and

Eddi Din [679]

Answer:

Area of the rhombus will be a repeating decimal.

Step-by-step explanation:

In a terminating decimals, numbers get terminated after decimal like

1/4 = 0.25

while in repeating decimals, numbers get repeated after decimal like

1/3 = 0.33333

When we multiply two decimals which are repeating and terminating decimals the result will be a repeating decimal.

Therefore area of the rhombus will be a repeating decimal.

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Determine whether the following series converges or diverges using the integral test. Be sure to verify that the integral test c

Finger [1]

By using the integral test, series converges

What is an integral test for convergence and divergence?

⇒ It is used to prove the divergence or convergence of series. This test is called the integral test, which compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive.

How to know if a series is converging or diverging?

If the limit exists and is a finite number (a number less than infinity), we say the integral converges. If the limit is ±∞ or does not exist, we say the integral diverges.

let aₓ= f (x) is any function

⇒ In order for the integral test to work The function must be positive it has to be continuous and it has to be decreasing when x≥1

If the integral converges it means the series is also converging

If the integral diverges it means the series is also diverging

The sequence $k^{3} /{e^{k^{4} }$ is clearly positive and decreases for k∈N then by the integral test,