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REY [17]
3 years ago
11

Please please answer .

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

1025

Step-by-step explanation:

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Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive
Salsk061 [2.6K]

Answer:

volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)

from the image;

the equation of AB will be;

y-b / b-0 = x-0 / 0-a

(y-b)(0-a) = (b-0)(x-0)

0 - ay -0 + ba = bx - 0 - 0 + 0

-ay + ba = bx  

ay = -bx + ba

divide through by a

y = \frac{-b}{a}x + ba/a

y = \frac{-b}{a}x + b

so R is bounded by  y = \frac{-b}{a}x + b and y =0, 0 ≤ x ≤ a

The volume of the solid revolving R about x axis is;

dv = Area × thickness

= π( Radius)² dx

= π ( \frac{-b}{a}x + b )² dx

V = π ₀∫^a ( \frac{-b}{a}x + b )² dx

Therefore,  volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( \frac{-b}{a}x + b )² dx

6 0
2 years ago
Х = 2y + 3<br> х = Зу — 4​
krek1111 [17]
I don’t even know :( sorry
8 0
2 years ago
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Find the value of x. <br><br> A. 60<br><br> B. 50 <br><br> C. 40 <br><br> D. 30
garri49 [273]

We can see that two sides of that triangle area equal

so, their corresponding angle will also be equal

now, we know that

sum of all angles in any triangle is always 180

so, we can get equation as

x+100+x=180

now, we can solve for x

2x+100=180

2x=80

x=40

so, option-C..............Answer

8 0
3 years ago
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The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the range?
ra1l [238]
I think $8. That’s the difference between the highest and lowest number.
4 0
2 years ago
Help MOI for the Third time PLS<br> Solve for t.<br><br> –9t − 19t + 9t − –18t − t = 14
Lorico [155]

Answer:

–9t − 19t + 9t − –18t − t = 14

t = -7

Step-by-step explanation:

Hope this helps!!

3 0
3 years ago
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