MATHEMATICS COLLEGE

Find the arc length of the curve below on the given interval. y equals one third (x squared plus 2 )Superscript 3 divided by 2y= 1 3x2+23/2 on [00,66]

Answers

Answer 1

Answer:

Answer

$\int_(0)^(6)√(1+12x^4+8x^2)dx$

Step-by-step explanation:

We are given that

$y=(1)/(3)(3x^2+2)^{(3)/(2)}$

Interval=[0,6]

a=0 and b=6

Differentiate w.r. t x

$(dy)/(dx)=(1)/(3)(3x^2+2)^{(1)/(2)}* 6x=2x(3x^2+2)^{(1)/(2)}$

By using the formula ; $(dx^n)/(dx)=nx^(n-1)$

We know that arc length of curve

$s=\int_(a)^(b)\sqrt{1+((dy)/(dx))^2}dx$

Substitute the values

$s=\int_(0)^(6)\sqrt{1+(2x(3x^2+2)^{(1)/(2)})^2}dx$

$s=\int_(0)^(6)√(1+4x^2(3x^2+2))dx$

$s=\int_(0)^(6)√(1+12x^4+8x^2)dx$

Length of curve,= $s=\int_(0)^(6)√(1+12x^4+8x^2)dx$

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Which equation represents an inequality in the system of inequalities shown in the graph? Which point is a solution to the system?Which equation represents an inequality in the system of inequalities shown in the graph? Which point is a solution to the system?

Answers

The equation that represents an inequality in the system of inequalities shown in the graph is;

y < 2x + 2

The point that is a solution to the system is; (-1, -2)

Graph Inequalities

The image of the graph is missing and so i have attached it.

From the graph, we see one broken line passing through the points x = -1 and y = 2.

We also see an unbroken line passing through the points x = ½ and y = -1

Now, when we use a broken line it means greaterthan or less than but when we use a thick line which is unbroken it means y ≤ or y ≥.

Now, if we shade below the line, it is (y< or y≤) but if we shade above the line, it is (y> or y≥).

Now, we see that the solution will be in between the broken line and the thick line.

Thus, the equation is;

y < 2x + 2 with the solution as coordinates as (-1, -2)

Read more about graph inequalities at;brainly.com/question/11234618

Answer:

y<2x+2

(-1,-2)

explanation:

person above gets credit, hope it helps!

Calculate the total cost of an item bought at a negotiated price of $14,380, a $2,700 trade-in allowance, a sales tax of 7.2 percent, and a $79 registration fee.$14266.08

$13,689.35

$12,794.36

$12,599.96

Answers

The total cost of an item bought at a negotiated price of $14,380 is $12495.36.

Item bought at a negotiated price of $14,380, a $2,700 trade-in allowance,

A sales tax of 7.2 percent, and a $79 registration fee.

Let us find the cost of the item after 7.2% of sales tax.

What is the cost?

A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.

The cost of an item after 7.2% of sales tax will be equal to 15640 plus 7.2% of 15640.

The cost of items after sales tax

$=14,380+((7.2)/(100)* 14,380)$

$=14,380+(0.072 * 14,380)$

$=15415.36$

Therefore the cost of an item after 7.2% of sales tax will be 15415.36

Now let us add the registration fee to the cost of the item.

The cost after registration fees is to the cost of items

=15415.36+79

=15495.36

Now let us subtract $2700 trade allowance to find the total cost of the item.

=15495.36- 2700

=12795.36

Therefore the total cost is $12495.36.

To learn more about the cost visit:

brainly.com/question/14323743

Answer:

The answer to this is option C: $12,794.36

Step-by-step explanation:

I just completed the test and this was the corrected answer.

5x^2-7x-6=0 in factored form

Answers

Your answer is x = -3/5, 2

100 x 0.64 Please help sorry I keep asking questions I’m doing a test and it’s kinda hard

Answers

100 x 0.64 = 64.

All you have to do is multiply the numbers as if there wasn’t a decimal.

Then you add a decimal after 2 numbers.

.64 has a decimal after 2 numbers so your answer would have a decimal after 2 numbers also.

So when you get 6400 you out a decimal after 00.

That gives you 64

Find the average speed. A= d\t
11) 360 miles in 6 hours

Answers

Answer:

60 miles in a hour

Step-by-step explanation:

360 miles divided by 6 hours = 60 miles per hour

PLSSS CAN SOMEONE HELP MEE, my friend can't figure this out , and the assignment is already overdue , pls someone help :( this is the first part of it , it also has a B part