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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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At Central High School, 28% of the students are Freshmen, 26% are Sophomores, 24% are Juniors, and 22% are Seniors. The student
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(D) This is a stratified random sample because a separate random sample is selected from each class

Step-by-step explanation:

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2 years ago
A scale model of a merry-go-round and the actual merry-go-round are similar. a. How many times greater is the base area of the a
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Let’s say the ratio of corresponding lengths is x:1 then the ratio of the base areas is x²:1.
The question doesn’t provide any figures.
Let’s put some in as an example. Let the actual merry-go-round be circular with a diameter of 20 feet, while the model is one foot in diameter. So the ratio of the actual ride and it’s model is 20:1. The area of the base of the actual ride is 100π sq ft. The area of the base of the model is π/4 sq ft. We expect the ratio of these areas to be 20²=400. 100π/(π/4)=400.
6 0
2 years ago
Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri
Naddik [55]

Answer:

d(4)=?

where

d= distance

t= hours

In this Linear function given by the law d(t) = 12t +20 and the graph below. To find the d(4), means to find out how many miles she cycled in the instant 4 hours.

By this function, after a break , the instant t=0, she had already cycled 20 miles.

Let's calculate

d(4) = 12(4) +20

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d(4)= 68 miles

Step-by-step explanation:

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