5)

2 answers:

7 0

I would say the volume simply is Org volume times 3. there is an increase regardless of radius size. which would be a much more complicated problem

UNO [17]2 years ago

3 0

The volume increases, any factor increasing hight or radius, the volume will increase.

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Y = 3 sin2x, y = 0, 0 ≤ x ≤ π; about the x−axis

Dominik [7]

I assume you're revolving the region with those bounds about the x-axis, and supposed to find the volume.

Via the disk method,

$\displaystyle\pi\int_0^\pi(3\sin2x)^2\,\mathrm dx=9\pi\int_0^\pi\sin^22x\,\mathrm dx$

Recall the half-angle identity for sine:

$\sin^2t=\dfrac{1-\cos2t}2$
$\implies\displaystyle\frac{9\pi}2\int_0^\pi(1-\cos4x)\,\mathrm dx$
$=\displaystyle\frac{9\pi}2\left(x-\frac14\sin4x\right)\bigg|_{x=0}^{x=\pi}$
$=\dfrac{9\pi^2}2$

8 0

3 years ago

ASAP Simplify the expression. 5 + 6(2x – 3) – 4x

Pani-rosa [81]

8x-13

1. Distribute 6 to both 2x and -3
5+12x-18-4x
2. Combine like terms
8x-13

6 0

2 years ago

Add the polynomials (-12x^5-7x^3+12x^2+11)+(4x^3+6x^2-6x+3)

tatuchka [14]

Answer:

-12x^5-3x^3+18x^2+14

6 0

2 years ago

A bottle of water costs $1.50. Explain how you would make a graph of four ordered pairs to model the total cost of the water in

Vanyuwa [196]

Total cost = 1.50 per bottle
y = 1.50x
If x = 1, y = $ 1.50 (1,1.5)
If x = 2, y = $ 3.00 (2,3)
If x = 3, y = $ 4.50 (3, 4.5)
If x = 4, y = $ 6.00 (4, 6)
There are your 4 sets of ordered pairs to graph.
You could continue with more x-values to get more ordered pairs.

7 0

2 years ago

Read 2 more answers

Express secΦ in terms of tanΦ

Sunny_sXe [5.5K]

Answer:

$\sec\theta=\sqrt{1+\tan^2\theta}$