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pychu [463]
2 years ago
7

Let er be the unit radial vector and r=x2+y2+z2−−−−−−−−−−√. Calculate the integral of F=e−rer over: (a) The upper-hemisphere of

x2+y2+z2=25 , outward-pointing normal (b) The region on the sphere of radius r=5 centered at the origin that lies inside the first octant x,y,z≥0 (a) ∬SF⋅dS=

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

72πe⁻⁶, 81/2πe⁻⁹

Step-by-step explanation: the complete question and answer is found in the attachment

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Carl bought some stock at $25 a share it increased 1 1/2 times its value. How much is the stock per share ?
jolli1 [7]

Answer: $37.50 per share


Step-by-step explanation:


Take the difference in the final price and the original price. Divide by the original price and multiply by 100.

37.5-25= 12.5

12.5/25= .50

.50*100= 50%

The other answers are $12.50 per share, and

The new stock is worth $37.50 per share.


4 0
2 years ago
Read 2 more answers
When plucked, the high E string on a guitar has a frequency of 330 cycles per second. What sine function represents this note wh
Ber [7]

Let's analyse the function

y = f(x) = A\sin(\omega x)

The amplitude is A, so we want A=1.5

Now, we start at x=0, and we have 1.5\sin(0)=0

After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be 330\cdot 2\pi

So, we have

f(1)=1.5\sin(\omega) = 1.5\sin(660\pi)

so, the function is

f(x) = 1.5\sin(660\pi x)

4 0
2 years ago
Read 2 more answers
What number is represented by 4x²+17x+2 if x=10?
Fynjy0 [20]

Answer:

at x = 10,   4x^{2}  + 17x + 2  = 572

Step-by-step explanation:

The given equation is 4x^{2}  + 17x + 2

Here, lets substitute the value of x = 10

So, the equation simplifies to ,

4 \times (10)^{2}  + 17(10) + 2

= (4 x 100)  + 170 + 2 = 400 + 170 + 2

= 572

So, at x = 10,   4x^{2}  + 17x + 2 = 572

4 0
1 year ago
Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?distribute –4 to get –8x 4 > 5 – 3x.distribute
Leviafan [203]

Answer:

Option A is correct.

The first step in solving the inequality is:

to distribute -4 to get  -8x + 4> 5-3x

Step-by-step explanation:

The distributive property says that:

a\cdot(b+c) =a\cdot b + a\cdot c

Given the inequality:

-4(2x-1)> 5-3x

Apply the distributive property we have;

-4 \cdot (2x) -4\cdot (-1)> 5-3x

Simplify:

-8x + 4> 5-3x

Therefore, the first step in solving the inequality is:

to distribute -4 to get  -8x + 4> 5-3x

9 0
2 years ago
Read 2 more answers
I am factor of 12. The other factor is 3. What number am I
Goryan [66]
12*3= 36

12 and 3 could be factors of 36.

I hope this helped you! <3
8 0
1 year ago
Read 2 more answers
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