venancialee36641
28.06.2019 •
Mathematics
Find a parametric representation for the surface. the part of the sphere x2 + y2 + z2 = 144 that lies between the planes z = â’6 and z = 6. (enter your answer as a comma-separated list of equations. let x, y, and z be in terms of î¸ and/or ď•.) (where â’6 < z < 6)
Solved
Show answers
More tips
- S Science and Technology QR Code: How it Works and Why You Need it?...
- C Computers and Internet Dropbox: What is it and How to Use it...
- H Health and Medicine How to Increase Hemoglobin in the Blood...
- A Animals and plants How to Store Carrots: Tips for Homeowners...
- L Legal consultation Juvenile Justice: Who Needs It?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
Answers on questions: Mathematics
- M Mathematics Select all the equations that represent the distance formula. Group of answer choices LaTeX: d=\sqrt{\left(x_2+x_1\right)-\left(y_2+y_1\right)} d = ( x 2 + x 1 ) − ( y 2 + y...
- M Mathematics What is the value of W?...
- H Health During admission, how can an assistant help relieve patient anxiety? By being self-conscious and unsure of one s self O By making a good first impression O By ignoring the patient...
- M Mathematics Write the ratio 14:56 in its simpiliest form...
- C Chemistry Phenolphthalein causes solutions to become pink around pH 8.2. Therefore, you added NaOH than actually needed to neutralize the acid. ANSWER: slightly more...
Ответ:
We can use the standard set of parametric equations in spherical coordinates:
with . Then the part of the sphere that lies between the planes and is determined by the domain of . To find that, we can sketch a picture of the situtation (attached below).
The right triangle in the image has its hypotenuse coinciding with the radius of the sphere so its length is 12, and the vertical leg has length 6 because it coincides with the plane . The angle between them is the upper limit of . At any point along the intersection of the sphere with the plane , we want to have
and so by symmetry, we need to set
Ответ:
1/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6-2)/(9-1)
= 4/8
= 1/2