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irina1246 [14]
3 years ago
14

Please fast guys Please

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

n = 1000

hope it helps..

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Let R = [ 0 , 1 ] × [ 0 , 1 ] R=[0,1]×[0,1]. Find the volume of the region above R R and below the plane which passes through th
Bond [772]

The three vectors \langle0,0,1\rangle, \langle1,0,8\rangle, and \langle0,1,9\rangle each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,

\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle

\langle0,1,9\rangle-\langle0,0,1\rangle=\langle0,1,8\rangle

Then the cross product of these two results is normal to the plane:

\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle

Let (x,y,z) be a point on the plane. Then the vector connecting (x,y,z) to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0

which reduces to the equation of the plane,

-7x-8y+z-1=0\implies z=7x+8y+1

Let z=f(x,y). Then the volume of the region above R and below the plane is

\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}

6 0
3 years ago
PLEASE ANSWER!!! Brainliest to whoever answers at first!Order the following expressions by their values from least to greatest.
Brilliant_brown [7]

Answer:

  -j, 0, j-k

Step-by-step explanation:

j is a positive number, so -j will be less than 0.

j is a number greater than k, so j - k will be greater than 0.

From least to greatest, the order is ...

  -j, 0, j-k

5 0
3 years ago
Simplify:<br> sec x – sec x<br> (sin x)2
givi [52]

Answer:

Sec (x) - 2 tan (x)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
8. Find the value of x so that line mis parallel to line l. (1 p<br><br> (3x+21)°<br><br> (4x-7)
dybincka [34]

Answer: The value of x is 28.

Step-by-step explanation:

Since line m is parallel to line l.

So, we assume that

(3x+21)° and (4x-7)° are corresponding angles.

And we know that , corresponding angles formed when a transversal cut the  parallel line are equal.

So, they must be equal to each other.

3x+21=4x-7\\\\21+7=4x-3x\\\\28^\circ=x

Hence, the value of x is 28.

6 0
3 years ago
A triangle has side lengths of 8 cm, 15 cm, and 17 cm. Classify it as acute, obtuse, or right.
Westkost [7]

Answer:

15^{2}  = 225

8^{2} = 64

17^{2} = 289

15^{2}  +  8^{2} +  17^{2}

= 225 + 64 = 289

289 = 289

Hence its a right angled triangle

Hope it helps

Please mark me as the brainliest

Thank you

7 0
3 years ago
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