Q3) Find volume of body from below z = x2 + y? and above z = 1.

Q: (d) Find the mass of lamina enclosed by y = 2x² and y = 1 if the density of lamina atpoint Q(x, y)…

A: Let's find.

Q: Find the volume of the solid in the first octant bounded by the cylinder z = 4 – y? and the plane x…

A:

Q: Find the volume of the solid bounded by y = x² +1 and the line y = -x + 3, revolved about the line y…

A: Given curve y = x2 and line y = -x +3

Q: Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

A:

Q: Suppose that r = 12 cm and h = 15 cm in the right circular cylinder. Find the exact and approximate…

A: In right circular cylinder   radius(r)=12 cm and height(h)=15 cm (a)  For lateral surface area…

Q: 14. Find the dimensions of a right cone with surface area S=4 n that has the largest volume?

A:

Q: Find the volume of the solid for 0 <x<4. Each face is a triangle with base (x + 1) m and height Vx…

A:

Q: Find the volume of the solid generated by revolving by the curve y = v2 – x² and x-axis: حد د واحدا…

A:

Q: 22 = 4 – x, r² + y? = 4x

A:

Q: A cylindrical can of height h and radius r is to be made with a fixed volume V. Show that the area…

A:

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 4. Use cylindrical shells to find the volume of the solid that is generated when the region that is…

A:

Q: The volume of the solid generated by revolving the region bounded by y = 2x - x² and (5a+1)π y = 0…

A: Volume

Q: Find the dimensions of a cylindrical can with a volume of 666 in^3 that minimizes the surface area.…

A: To find the dimensions of a cylindrical can with a volume of 666 in3 that minimizes the surface…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Given that: Volume of cylinder = 1000 cm3

Q: 3]. , Let V = ar²h, where V the volume of a right circular cone of radiusr and height h. Show that…

A:

Q: Find the mass of the solid bounded below by the ci hemisphere z = 6.25² – 2² – y² if the density

A: Here we have to find the mas of the solid bounded below by the circular cone z=x2+y2 and above by…

Q: 3. Find the volume of the solid generated by revolving the area bounded by the curve y = x' and the…

A: Topic:- application of integration

Q: Find the volume under the surface z 25 – x² – y? and above the plane z = 0.

A: Consider the given: z=25−x2−y2z=00=25−x2−y2x2+y2=25r2=25r=0 to 5,θ = 0 to 2π

Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

A:

Q: The volume of the solid obtained by rotating the region bounded by y=4-x, y=0, X=-2, x-2 about the…

A: Determine for true or false

Q: Compute the volume lying inside the sphere x2 + y? + z2 = 46 but outside of x² + y? = 21.

A:

Q: Find the volume of the solid region in the first octant inside the cylinder x²+y2=4 and between the…

A: Introduction: Finding a function's anti-derivatives is made easier with the aid of integral…

Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

A: Given

Q: Find the volume using the shell method. x = 8y2, y ≥ 0, x = 8;  about y = 2

A: Given:x = 8y2, y ≥ 0, x = 8;  about y = 2

Q: A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height, h, and the…

A: Consider the given: The given volume of the cylinder is 200 cubic cm. V=πr2h200=πr2hh=200πr2 Find…

Q: Compute the volume lying inside the sphere x2 + y? + z2 = 35 but outside of x² + y? = 19.

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

A: Volume of the solid (V) =∫∫∫dxdydxGiven solid bounded by z=0, z=4-x, x=y2 and x=4 Limits of…

Q: 21. The volume of the closed cylindrical tank is 11.3 m3. If the total surface area is a minimum,…

A: The volume, V of a cylinder is calculated using the formula, V=πr2h. The surface area, A of a…

Q: Find the volume between the cylinders x+y =1 and the cylinder x* +z* = 1 in the first octant. 2

A:

Q: B. Find the volume generated by revolving the region enclosed by x - -y and y=x+2 about У-аxis. 20%

A:

Q: A cylindrical can, open at the top, is to hold 600 cm³ of liquid. Find the height, h, and the…

A:

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

A:

Q: The volume of the closed cylindrical tank is 11.3 m 3 . If the total surface area is a minimum, what…

A: Given: Volume of cylindrical tank is 11.3m3.

Q: 2. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

A:

Q: Find the dimensions of a right cone with surface area S=4 n that has the largest volume?

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

Q: 7. Find the volume of the solid under the surface 1 = 3x+ 2y? above 1 < x < 3, 0 < y < 6 using a…

A: Introduction: We know that the volume under the curve z=f(x,y) and over the region R is given by the…

Q: 1. Use disk or washer methods: Determine the volume of solid endosed by y = vx- 5 and x 14, about:…

A: As per our guidelines, we are supposed to solve only first question with first three subparts.…

Q: 2. Find the volume of solid generated by revolving te area enclosed by: x=y2+1, x=0, y=0 and y=2…

A: The area enclosed by x=y2+1, x=0, y=0 and y=0 The shaded portion is the required region

Q: Derive the equation for the volume of a sphere of radius r using the shell method.

A: Consider a circle of radius (r), which when rotated around x-axis generates a sphere.

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: We will use derivative to minimize the area.

Q: 6. Find the volume of solid generated by revolving bout the y² = 4x, x = 0, y = 4 about y = 4.

A: Given curves are, which generate the solid y2=4x, x=0, y=4   Graph is Since y2=4x⇒y=4x

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: 1. Show by integration that the volume V of a right circular cylinder with base radius r and height…

A: We’ll answer the first part of this question. since due to complexity. Please submit the question…

Q: D. Calculate volume enclosed by (z 8-x²-y) and (z x2 +y²), (Use order dx dy dz).

A: Here we use basic formula of volume

Q: Find the volume of the solid bounded by the cylinders x2 + y2 = 4r2, y2 + z2 = 4r2.

A: We know that : Volume under the surface z = f(x, y) and above the region D in x-y plane is given by

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.