1- Find Aue Volume the Paralle RPed by usi+j-21k and V= -i_-k ,W = 2i44j-2K %3D

Q: Find the surface area of the part of a sphere having radius 2 centered at origin for 1 <z < 2. 8pi O…

A: Given  Radius of the sphere R=2 and 1&lt;z&lt;2

Q: 1. Show that the volume ofa parallelepiped with sides A. B and C given by A (B x C)

A: As per our guidelines we are supposed to solve only one question i.e. the question no 1. For the…

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y…

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Q: The diameter and height of a paraboloid are 1 m and 2 m respectively. Determine its dimensions when…

A: Given, Diameterd=1 mHeighth=2 m The formula for finding the volume of the paraboloid is, V=π2hr2

Q: The centroid of the half-ellipse-shaped-cross-sectional area shown is given by: 4 Ye 9 - 25m9-y² dy

A: Given half ellipse shaped cross section is:…

Q: Which of the following is NOT a method for finding volume of solids of revolution? A washer method B…

A: Please follow the next step.

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R %3D 3

A: To find → volume of liquid needed to fill a sphere of radiusR to height h=R3

Q: 2) A rectangular sheet of perimeter 39 cm and dimensions x cm by y cm is to be rolled into a…

A: Perimeter of the rectangular sheet is 39 cm and dimensions of sheet are x cm×y cm. ⇒2x+2y=39 The…

Q: A cylinder of radius 4 is drilled out from the middle of a solid ball of radius 6. Find the surface…

A: To find the surface area of the resultant solid

Q: the Area under tro choid one arch of the ( = 70-1sine. 1Sine, y= 1cose

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Q: 13 1 y = 1/2x² + ²x² 6x 1 √2 <x< 1 Curved segment rotated about the ox-axis.Calculate the area of…

A: Given that y=12x3+16x ,12≤x≤1

Q: A metal sphere weighing 24 kg is melted down and recast into a solid cone of base radius 8.0 cm. If…

A: Given that , Mass of metal , m=24 kgDensity of metal , ρ= 8000 Kgm3Radius of Cone , r=8 cm…

Q: Determine the arc oF the Cur Vて length 9x² = 4(y-1)' por 1s yš2: %3D

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Q: a). A compound parabolic collector, 2 m long (L), has an acceptance angle (20₂) of 30°. The absorber…

A: Given:        Acceptance angle 2θa=30°        Length =2 m        Width =20 cm Concentration ratio…

Q: A yo-yo is made from a sphere by removing a slice from its center, as in Figure 6.35. Suppose the…

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Q: 25. A rectangle has dimensions of 6 in. by 3 in. Find the exact volume of the solid of revolution…

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Q: 5. Find the volume of spherical wedge formed by rotating through an angle of 45 a semi circle of…

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Q: A body T with the parameters  (1/2)(sqrt(x^2)+(y^2))≤z≤sqrt(16-(x^2)-(y^2) Use the sphere…

A: The given problem is to find the volume of the body formed by the cone and spherical region, we have…

Q: A hole is drilled through the center of a sphere x +y +z? = R,', leaving a ring-shape solid. If the…

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Q: A sphere of radius a is sliced parallel to the equatorial plane at a distance a−h from the…

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Q: Construct a cylindrical container without the top to hold a volume 1m3.  What is the smallest…

A: Volume of cylinder = πr2h = 1 m3 Here, the cylinder is without top.

Q: Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A hole is drilled through the center of a sphere x?+y² + z² = R,?, leaving a ring-shape solid. If…

A:

Q: 9. A cylindrical can is to hold exactly 1 L of water. What should the height of the can be if the…

A: A cylindrical can is to hold exactly 1 L of water ?. What should the height of the can be if the…

Q: Find the radius ? and height ℎ of a cylindrical can of total surface area 110 cm2 whose volume is as…

A: NOTE: Refresh your page if you can't see any equations. . the surface area of the cylinder is given…

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from he base…

A: First let's see what this paraboloid looks like in 2 dimensions. Light source at the focus located…

Q: The volume of the solid that lies above the cone θ=π4 and below the sphere r=cos(θ) is: (Here,…

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Q: At what latitudes is the Moon always above the horizon when the Moon is minimum and maximum…

A: In this question we have to find the position of moon with respect to equator line.

Q: sphere will reach point B as it swings about 'O' (a) If OA is a rope vertical plane. Determine the…

A: Answer:

Q: 41. Find the volume of the solid which is the intersection of the two cylin- ders in Figure 9. Hint:…

A: Given: A solid with a circular base of radius a. Each plane perpendicular to the diameter AB…

Q: A circular cylinder of radius 1 and the parabolic cylinder x = 2y? – 1 2 =

A: In this question, we have to find the curve of intersection.

Q: 4) A spherical tank is full water with the spout at the Lísdest point on the tank

A: Given, a tank has a radius=4 ft                           spout length=1 ft

Q: The vertices of a triangle are at (0,0), (6,6), and (9,3) . What is the volume, in cubic units, of…

A: The figure by hand is show below of the given question:

Q: The radii of the internal and external surface of a metallic spherical shell are 3 cm and 5 cm…

A: First, finding volume of shell and then volume of cylinder

Q: 7. A solid dome is to be constructed with the ellipse x? +3y² = 6 as a base. Using infinitely many…

A: Given - A solid dome is to be constructed with the ellipse x2 + 3y2 = 6 as a base. To find -Using…

Q: (6) (2x+3y) cm Diagram 18 shows a trapezium. Calculate the area, in cm², of the trupezium. 10x cm…

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Q: What radius (r) and height (h) of a cylindrical can holding 1L of oil that minimizes the  cost of…

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Q: 5. Consider a hollow spherical bowl with radius r = 18 cm that is filled to the top with water. h(t)…

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Q: The surface area of a sphere increases at a rate of 77 m2/ sec. Then the rate at which the radius…

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Q: Q1/ A cylindrical tank of length (L) has semicircular end sections of radius (R). the tank is placed…

A:

Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

Q: Find the volume of spherical segment of one base and altitude h cut from a  sphere of radius a.

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Q: 4. Use Maple to draw the torus whose equation in spherical coordinates is given by p= sin(ø), and…

A: Given Use Maple to draw the torus whose equation in spherical coordinates is given by ρ=sinϕ.

Q: Show that 8r units is the length, L, of one arch of the cycloid described parametrically by: x (0) =…

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Q: 1. Find the height of a circular cylinder of maximum volume, which can be inscribed in a sphere of…

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Q: A bascboll is thrown with an nitial velocity of 45 myr = 6ol6 f%s at an angle morizontal and from…

A: Given: Initial height above the ground h0 = 5 feet Initial velocity v0 = 66 feet/second

Q: 25. Each is used to create a volume of revolution that is a torus when the circle is rotated 360°…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: