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lesya692 [45]
2 years ago
13

What is a product of 10 and the counting numbers 1 2 3 and so on? Answer for 25 points!

Mathematics
1 answer:
natima [27]2 years ago
7 0
The product of all integers from 1 to 100 is 100!. The formula actually counts the number of factors 5 in n!, but since there are at least as many factors 2, this is equivalent to the number of factors 10, each of which gives one more trailing zero.May 15, 2020
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Evaluate the given integral by changing to polar coordinates. 8xy dA D , where D is the disk with center the origin and radius 9
BabaBlast [244]

Answer:

0

Step-by-step explanation:

∫∫8xydA

converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.

So,

∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ

So we integrate r from 0 to 9 and θ from 0 to 2π.

∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ

= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ

= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ

= 8[6561/4]∫(cosθsinθ)dθ

= 13122∫(cosθsinθ)dθ

Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2

Substituting this we have

13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ

= 13122/2[-cos2θ]/2 from 0 to 2π

13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]

= -13122/4[cos4π - cos(0)]

= -13122/4[1 - 1]

= -13122/4 × 0

= 0

5 0
2 years ago
Reflect AQ'R'S' if Q'(1, -3), R'(-2,-6),<br> and S'(-1,-1) over the x-axis.
castortr0y [4]

Answer:

Step-by-step explanation:

The rule of reflecting over the x-axis is that point (x, y) →( x, -y) so

Q'(1, -3), R'(-2,-6),and S'(-1,-1) reflected over the x-axis, become

Q"(1, 3), R"(-2, 6), and S"(-1, 1) .

6 0
2 years ago
What is the base angles of a 9 sided polygon
Ivanshal [37]

Answer:

140 degrees

Step-by-step explanation:

6 0
3 years ago
Answer fast please and thank you
steposvetlana [31]

Answer:

Yes

Step-by-step explanation:

One input to one output is a linear one-to-one function.

7 0
2 years ago
Read 2 more answers
What the length of a segment of (2,3) to (6,15)
neonofarm [45]

Answer:

√160 or 12.65 or 4√10

Step-by-step explanation:

√(2-6)²+(3-15)² = √16 + 144 = √160 or 12.65 or 4√10

8 0
3 years ago
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