ABC is rotated around the line x=0 to produce a solid. What describes the shape of the solid?

Q: nter the exact answer. Im z? dz

A: Given, the vertices of the triangle are 0, 2, 2i.

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A: In this question, the concept of line integral is applied. Line Integral The function to be…

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A:

Q: The shape of y = V that has been reflected across the origin. Preview

A: To find:

Q: In the figure, ray MO bisects ZLMN, MLLMO = (13z- 31)°, and MZNMO = (x + 53)°. Find the following.…

A: We have to find value of x, m<LMO and m<LMN where, m<LMO=13x-31°m<NMO=x+53° Given figure…

Q: Explain Cylinder Surface?

A:

Q: Find: centroidal Ix, = centroidal ly = lx = ly= 1 mm 10 mm 1 mm Y axis 5 mm -10 mm 1 mm X-axis

A:

Q: Rotate quadrilateral BDFH 90 ° clockwise about the origin and label the image D B B! D' fl H!

A:

Q: gure to the right as the parameter. (x, y) 12 ind parametric equations for the particle's motion.…

A:

Q: 2) y? = -4x h = __k = _ p =- %3D V: focal width: F: Directrix: 10- 6- 4- 2- -10-8 -6 -4 -2. 2. 8 10…

A:

Q: d. V9+ 2i e. 2 + In(2 + i)

A:

Q: 2- Write two examples about converting from rectangular (x,y) to polar form(r.)

A:

Q: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

Q: How do you solve this using polar coordinates?

A: We will find out the required result.

Q: What is the definition of a parabolic cylinder?

A: The parabolic cylinder functions are the solutions to the differential equation d2ydx2 + ax2 + bx +…

Q: Change from rectangular to cylindrical coordinates. (a) (0, -8, 6) (r, 0, z) = (b) (-8, 8√3, 7) (r,…

A:

Q: I+ y –1 = 0, k : S1- y+3 = 0, = 0. %3D %3D l: z+1 = 0, 2- 2

A: Distance between two lines is  Find distance between all points from one line to another line. Find…

Q: 1 in 1in y 1 in 3 in 1 in X

A:

Q: Find parametric equations for the surface generated by revolving the curve y = 21 sin x about the…

A: The objective here is to find the parametric equation for the surface generated by revolving the…

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A:

Q: convert the cylindrical (5, pi/3, 2) to rectangular

A:

Q: Evaluate ²y dA where D is the top half of the disk, centered at the origin with radius 2.

A: The given integral is ∬x2ydA over the region D where D is the top half of the disk centered at the…

Q: √2-1₁² √4-x²-1,² ITI S y=0x=y=z=√x² + y² arctan() dzdxdy ||

A:

Q: Try to sketch by hand the curve of intersection of the circu- lar cylinder x + y² = 4 and the…

A: Given, Circular cylinder, x2+y2=4 Parabolic cylinder, z=x2

Q: Use cylindrical coordinates. (a) Find the volume of the solid that the cylinder r = a cos θ cuts…

A: calculation of above requirement are as follows To find the volume of the solid that the cylinder r…

Q: The surface of a paraboloid results from rotating a parabola about its axis. the parametric form is…

A: The objective of the question is to understand how the shape of a paraboloid changes when the…

Q: # ZZ Convert the following equation in Cartesian (rectangular) coordinates into the equivalent…

A: Use trigonometry function

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.