Answered: Find the average height of a hemisphere…

Name: Find the average height of a hemispherez=sqr( 4-49x^2-49y^2 )above the
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Find the average height of a hemispherez=sqr( 4-49x^2-49y^2 )above the diskx ^2+ y^2 ≤4/49.The average height is

Math

Advanced Math

Find the average height of a hemisphere z=sqr( 4-49x^2-49y^2 ) above the disk x ^2+ y^2 ≤4/49. The average height is

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

See similar textbooks

Related questions

Q: The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. Use linear…

A: Given, the circumference of a sphere is 84 cm with a possible error of 0.5 cm. And we have to…

Q: The circumference of a sphere was measured to be 77 cm with a possible error of 0.5 cm. Use linear…

Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - (x2/4), -2 ≤ x ≤…

Q: Find the height of the right circular cylinder of maximum volume that can be inscribed in a sphere…

A: Given, A sphere of radius 15 cm We have to find the height of the right circular cylinder of…

Q: a right clinder is cut parallel to its base. what is the shape of the two dimensionals cross…

A: It is given in the question that the right circular cylinder is cut parallel to its base.

Q: area of the region

A: Consider the given equations, y=2x2+10y=4x+16x=-2x=5 It is observed that the region is bounded only…

Q: The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear…

A: Given: Circumference of the sphere is measured to be 80cm. Possible error 0.5 cm. Formula used:…

Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use linear…

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

Q: A rectangle with perimetee 18 cm is rotated about one of its sides forming a a right circular…

Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

Q: The circumference of a sphere was measured to be 88 cm with a possible error of 0.5 cm. Use linear…

A: Solution :-

Q: Find the height of the cylinder that can be put into a cone with radius 7 cm and height 12 cm and…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Diameter=60 meters⇒radius=30 meters ∵Radius is half of the…

Q: The circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm. Use linear…

A: Given that the circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm .

Q: 3. What is the height of the right circular cylinder with greatest volume that can be inscribed in a…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere…

A: Draw the diagram roughly.

Q: Find the dimensions of a closed rectangular box with a square base and volume 3375 in3 that can be…

Q: Find the dimensions of a right circular cylinder of maximum volume which can be inscribed in a…

A: NOTE: Refresh your page if you can't see any equations. . the radius of the sphere is R=12 the…

Q: An open box is to be made by cutting a square from each corner of a 12-in. by 12-in. pieceof metal…

A: Volume: Let the side length of the square be x cm that is cut from each corner of a 12 in by 12 in…

Q: y = 4 – x2 y = 4 – 4x - -5-

A: Definition used - The area between two curves f(x) and g(x) -…

Q: The circumference of a sphere was measured to be 85 cm with a possible error of 0.5 cm. Use linear…

A: Given measured circumference was 85 with a possible error of 0.5cm and we have to calculate maximum…

Q: The circumference of a sphere was measured to be 81 cm with a possible error of 0.5 cm. Use linear…

Q: The circumference of a sphere was measured to be 70 cm with a possible error of 0.5 cm. Use linear…

A: Solution is in step 2

Q: Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere…

A: Solved below

Q: The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear…

A: We have to find the maximum error and relative error.

Q: Find the area between the curves -4x + y = 16 and -2x2 = -y+ 10.

Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - √x, 0 ≤ x ≤ 4

Q: Find the total area of the shaded region. 1.5- *-5y3 1- (5,1) x= 5y2 0.5- 2.5 7.5

A: Solution

Q: A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up the edges to…

A: Given that, The three sides of the rain gutter is add up to 12 inches 2x+y=12⇒y=12-2x…

Q: Determine the dimension of a rectanglular solid with a square base with a maximum volume of its…

A: Volume V=x2y Surface area=2x2+4xy

Q: The circumference of a sphere was measured to be 90.00090.000 cm with a possible error of…

Q: Find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a…

A: Given, Radius=3 inch Height=10 inch The formula for the volume of a cylinder is, v=πr2h Let, x be…

Q: Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

A: The objective is to find the area bounded between the curves.

Q: . Find the maximum area of a rectangle inscribed in a semicircle of radius 5 inches if its base…

Q: The total amount of a cylinder inserted into a hemisphere of radius 1 unit Finds the maximum value…

Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2 ...(1)x = y4 ...(2)

Q: A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus sweeping oit…

A: To Determine: What is the maximum volume of that cylinder. Given: A rectangle with a fixed…

Q: The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. Use linear…

A: Given: The circumference of sphere is 90 cm with a possible error of 0.5 cm That is :…

Q: Consider a rectangular box B that has a bottom and sides but no top and has minimal surface area…

A: Given information: V=64 m3

Q: A candy box is made from a piece of cardboard that measures 35 by 19 inches. Squares of equal size…

A: Consider the length of the cardboard is 35 in and width of the cardboard is 19 in Suppose length of…

Q: ; The circumference of a sphere was measured to be 77.000 cm with a possible error of 0.50000 cm.…

Q: The circumference of a sphere was measured to be 73 cm with a possible error of 0.5 cm. Use linear…

A: Here we will find the maximum error and relative error,

Q: The circumference of a sphere was measured to be 86 cm with a possible error of 0.5 cm. Use linear…

Q: The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. Use linear…

Q: The circumference of a sphere was measured to be 89 cm with a possible error of 0.5 cm. Use linear…

A: Circumference of Sphere =89 cm Error = 0.5 cm…

Q: = 4x y = 2x – 4

Q: The circumference of a sphere was measured to be 77.000 cm with a possible error of 0.50000 cm. Use…

A: Circumference = 77.00 radius r = 77/2π ± 0.5 cm Now, 0.5cm = (0.5/77)*100% = 0.65% r = (77/2π) ±…

Q: The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear…

A: Given the circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm.

Topic Video

Question

Find the average height of a hemisphere

z=sqr( 4-49x^2-49y^2 )

above the disk

x ^2+ y^2 ≤4/49.

The average height is

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

What the maximum area of a triangle which is inscribed in a circle of radius 4cm and one of its sides passing through the center of the circle ?
What are the dimensions of an open-top right circular cylindrical can that will hold a volumeof 512 cubic centimeters and will minimize the amount of material (surface area) used?
A patient is drinking 0.6 pint of orange juice every two hours. At this rate, how many quarts of orange juice will the patient drink in twelve hours? Use Dimensional analysis (Hint 1qt = 2 pints)
A company manufactures cylindrical metal drums with open tops with a volume of 1 cubic meter. What should be the dimensions of the drum in order to use the least amount of metal in their production
The circumference of a sphere was measured to be 90.000cm with a possible error of 0.500000 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
A rectangle with perimetee 18 cm is rotated about one of its sides forming a a right circular cylinder. What is the maximum possible volume of the cylinder in cm³?
Find the slope and y-intercept of the line through the point (7,4) that cuts off the least area from the first quadrant.
A metal rain gutter is made from sheets of aluminum that are 12 inches wide by using a machine that turns up the edges to form 2 right angles. Determine the depth of the gutter that will maximize its cross sectional area and allow the greates amount of water to flow.
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.1 cm thick to a hemispherical dome with a diameter of 45 meters.
Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.
Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm. What is the maximum volume?
Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a right circular cone of altitude 12 inches and base radius 6 inches.