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3 years ago

Refer to the figure and find the volume V generated by rotating the given region about the specified line.

Mathematics

1 answer:

ANEK [815]3 years ago

7 0

Volume generated by the areas R2 + R3 around the line OC
= (1/3) pi 1^2 * 3 = pi sq units

Volume generated by area R2 around OC is found as follows

the equation of the curve can be written as x = y^4 / 81

Integral between limits y = 0 and 3 of the curve is

pi INT x^2 dy = INT pi y^8 / 81^2 dx

= pi [3^9 / 9*81^2]

= pi/3

So the volume generated by R3 about OC = pi - pi/3 = 2pi/3

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arnold is writing the program for a video game for one part of the he uses the rule, (x,y) (x + 7, x - 3) to move points on the

pychu [463]

I am pretty sure you mistyped the rule.

The rule (x + 7, y - 3) moves the original coordinate right 7 units and down 3 units

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4 years ago

An architect is designing square windows with an area of ( x 2 + 20x + 100) ft2 . The dimensions of the windows are of the form

umka21 [38]

A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.

3 0

4 years ago

What is (8x10)+(3x1)+(4x1/10)+(5x1/100)+(7x1/1000) written in standard form? A. 834.57 B. 83.457 C. 83.4057 D. 830.457

timurjin [86]

Answer:

B) 83.457

Step-by-step explanation:

80 + 3 + 0.4 + 0.05 + 0.007 = 83.457

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3 years ago

The smaller of two similar rectangles has dimensions 4 and 6. Find the dimensions of the larger rectangle if the ratio of the pe

BlackZzzverrR [31]

Answer:6 by 9

I was stuck on thus question too for a while but then I went back and figured everything.

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3 years ago

Read 2 more answers

John says the transformation rule (x, y) Right-arrow (x 4, y 7) can be used to describe the slide of the pre-image (4, 5) to the

mario62 [17]

The error in the process is we have to add the coordinates john subtracts the coordinates.

The transformation coordinates are (8, 12).

Given that

John says the transformation rule (x, y) Right-arrow (x 4, y 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2).

We have to determine

What was his error?

According to the question

A preimage or an inverse image is the 2D shape that we used to denote before any transformation.

Image is the figure that we get after transformation.

The coordinates of preimages are (4, 5).

Then,

After transformation the co-ordinates are as follows;

$(4+4, \ 5+7)\\\\(8,12)$

Hence, the transformation coordinates are (8, 12).

To know more about Transformation click the link given below.

brainly.com/question/26174938

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2 years ago