PLEASE HELP !! ILL GIVE BRAINLIEST !!

Integrating with shells is the easier method.

V = 2π ∫₁³ x (√x + 3x) dx

That is, at various values of x in the interval [1, 3], we take n shells of radius x, height y = √x + 3x, and thickness ∆x so that each shell contributes a volume of 2π x (√x + 3x) ∆x. We then let n → ∞ so that ∆x → dx and sum all of the volumes by integrating.

To compute the integral, just expand the integrand:

V = 2π ∫₁³ (x ³ʹ² + 3x ²) dx

V = 2π (2/5 x ⁵ʹ² + x ³) |₁³

V = 2π ((2/5 × 3⁵ʹ² + 3³) - (2/5 × 1⁵ʹ² + 1³))

V = 4π/5 (9√3 + 64)

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Answer:

[tex]2=\frac{2}{1}= \frac{4}{2} =\frac{6}{3}=\frac{8}{4}=\frac{10}{5}[/tex]

Step-by-step explanation:

Answer:

42.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you add both top and bottom which is 17 then divide 17 ÷2 which is 8.5 and then multiply by 5 which gives you 42.5 m

Answer:80

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct choice is C

Answer:

its actually 65

Step-by-step explanation:

Answer: 17.6 minutes

Step-by-step explanation: im not sure if u can use decimals tho

Answer:

aeafscgefgdderhgdthdg

Answer:

i dont know the answer sry

Step-by-step explanation:

srryyy

Answer:

148.8 cm

Step-by-step explanation:

Length * width * height = volume

9.3 * 4 * 4 = 148.8

Answer:

Expression Derivatives

y = tan-1(x / a) dy/dx = a / (a2 + x2)

y = cot-1(x / a) dy/dx = - a / (a2 + x2)

y = sec-1(x / a) dy/dx = a / (x (x2 - a2)1/2)

y = cosec-1(x / a) dy/dx = - a / (x (x2 - a2)1/2)

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

3/5 of the lawn was mowed

Step-by-step explanation:

1/5 + 2/5 = 3/5

Answer:

3/5

Step-by-step explanation:

1/5+2/5=3/5

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

So, for the area of a circle, there should be a line in the middle. Correct?

Well, that line is the diameter. Then cut that in half, so if the diameter is 6, the radius is 3.

Then multiply the the radius by the radius, so 3x3 once you get that, multiply the answer by pi. Pi= 3.14, so if you do 3x3x3.14 you should get 28.26. Hope this helps.

Answer:

-81,-294

Step-by-step explanation:

-36-27-18

=-81

-117-98-79

=-294

please mark as brainliest

Answer:

c = 9.4m is the answer

Step-by-step explanation:

a (length of the telephone pole) = 9m

b (distance between the pigeon and the pole) = 3m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

9² + 3² = c²

81 + 9 = c²

c² = 90

c = 9.4m

∴ the pigeon will fly 9.4m

Answer:

the approximate area of corcle is 3848

[tex]diameter = 70in \\ radius = \frac{70}{2} \\ = 35in \\ area = \pi \: r {}^{2} \\ = \pi \: 35 {}^{2} \\ = 3848.45in {}^{2} [/tex]

Answer

1-right

2-not a triangle

3-acute

4-obtuse

5-right

6-obtuse

7-acute

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-70 degrees

Step-by-step explanation:

What you need to do is subtract 10 from -58 to find the difference;

-58-12 = -70 degrees

Answer:

Sam Houston

Sam Houston, c. 1850

7th Governor of Texas

In office December 21, 1859 – March 15, 1861

Lieutenant Edward Clark

Step-by-step explanation:

Answer:

[tex]170[/tex]

Step-by-step explanation:

The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.

[tex]wx = 2(42x + 1)[/tex]

We can add up that and the other arcs to 360.

[tex]2(42x + 1) + 29x - 1 + 65x + 3[/tex]

[tex]84x + 2 + 29x - 1 + 65x + 3 = 360[/tex]

[tex]178x + 4 = 360[/tex]

[tex]178x = 356[/tex]

[tex]x = 2[/tex]

Plug in 2 for WX.

[tex]84(2) + 2 = 170[/tex]

Answer:

its b

Step-by-step explanation:

The requried dimensions of the rectangle are 10 by 4. Option B is correct.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:

area = length x width

We also know that the length is 6 units greater than the width, which we can express as:

length = width + 6

We can substitute this expression for length into the formula for area, giving us:

area = (width + 6) x width

area = width² + 6width

We are given that the area is 40 square units, so we can set up the equation:

40 = width² + 6width

We can rearrange this equation into the standard quadratic form:

width² + 6width - 40 = 0

We can then use the quadratic formula to solve for the width:

width = (-b ± √(b² - 4ac)) / 2a

Plugging in the values of a, b, and c from the quadratic equation above, we get:

width = (-6 ± √(6² - 4(1)(-40))) / 2(1)

width = (-6 ± √(196)) / 2

width = (-6 ± 14) / 2

So we have two possible values for the width:

width = (-6 + 14) / 2 = 4

or

width = (-6 - 14) / 2 = -10

Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.

We can use the expression for the length in terms of the width to find the length:

length = width + 6 = 4 + 6 = 10

Therefore, the dimensions of the rectangle are 10 by 4.

Learn more about rectangles here:

brainly.com/question/15019502

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