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4 years ago

Form a quatratic polynomial ome of whose zero is 2+root5 and sum of two zeros is 4

Mathematics

1 answer:

siniylev [52]4 years ago

6 0

2+sq root of 5
and the sum of zeros = 4
other zero =4-(2+sq root of 5)=2-sq root of 5

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What is the antiderivative of e^x^2?

ddd [48]

Answer: The antiderivative of $e^{x^{2}}$ is $\sqrt{\pi} \sqrt{e^{x^2}-1} +C$ .

Explanation:

$I=\int{e^{x^2}dx}\\I^2=\int{e^{x^2}dx}\int{e^{x^2}dx}$

Using dawson integral.

$I^2=\int{e^{x^2}dx}\int{e^{y^2}dy}$

$I^2=\int{\int{e^{x^2+y^2}dxdy}}$

Put $x^2+y^2=r^2$

$I^2=\int{\int{e^{r^2}rdrd\theta}}$

$\int_{0}^{2\pi}{d\theta}\int_{0}^{x}{re^{r^2}dr}$

Use substitution method and sunbstitute $r^2=t$ .

$\int_{0}^{2\pi}{d\theta}\int_{0}^{x^2}{\frac{1}{2}e^tdt}$

$I^2=\frac{1}{2}|\theta|_{0}^{2\pi}|e^t|_{0}^{x^2}\\I^2=\frac{1}{2}(2\pi)(e^{x^2}-1)\\I=\sqrt{\pi}\sqrt{e^{x^2}-1}$ .

Therefore, the antiderivative of $e^{x^{2}}$ is $\sqrt{\pi} \sqrt{e^{x^2}-1} +C$ .

4 0

4 years ago

The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the

iragen [17]

Answer:

B.) 27ft

Step-by-step explanation:

The labeled points given: (5,18) and (1.5, 7.5)

Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3

A linear model:

y - 18 = 3(x - 5)

y - 18 = 3x - 15

y = 3x + 3

If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)

y = 3(8) + 3

y = 24 + 3

y = 27 ft

Answer:

B.) 27ft

8 0

4 years ago

Read 2 more answers

Please answer asap !!!!!!!!!!!]

elixir [45]

Answer:

the y inetercept is -2

Step-by-step explanation:

its easy

4 0

3 years ago

The Cooper family consists of two adults and one child. Their current monthly income is $4,500. How much does the Cooper family

alekssr [168]

Answer:

$Amount = \$630$

Step-by-step explanation:

See attachment for budget

Given

$Monthly\ Income = \$4500$

Required

Determine the amount spent on food

To solve this, we refer to the attachment to get the budget for food

From the attachment, we have:

$\%Food = 14\%$

Amount spent of food is then calculated as:

$Amount = \%Food * Monthly\ Income$

$Amount = 14\% * \$4500$

$Amount = \$630$

<em>Hence, they spend $630 on food each month</em>

5 0

3 years ago

Please Help!!! :( I don't understand

Cerrena [4.2K]

Answer:

Step-by-step explanation:

You would do

4×18.5 =74

2×6.75 =13.5

14×7/8 =12.25

Add all that up and it equals 99.75lbs/pounds

5 0

3 years ago