Each of the following shapes is rotated in the direction of the arrow in 3D space to create a 3D shape Describe the shape by giving the name of the 3D shape or shapes that will result. Some may be a combination of two shapes, so the first is done for you as an example. EX: This will form a qylinder with a hollow cylinder Inside. 50

Q: Discussion Prompt: Compare and contrast the dot product and the cross product. In your response…

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Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: Given: A circular walkway is to be built around a monument, with the monument as the center. The…

Q: calculate (see image), where D is the disc with it's center out of the origin. The equation of the…

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Q: A contractor is presenting the floor plan for a house. The client likes the shape and size, but…

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Q: Stand up and mark the floor where you're standing your right and left arm s. as the origin Extend…

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Q: d. x-2x +y? + z = 3

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Q: Find the center given the situation below. Show your complete solution. 1. m1 = 3, m2 = 4, and m3 =…

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Q: Photo #1: Question Photo #2: Answer Key

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Q: b. z= 4x2 + 4y²

A: The equation describes surface of elliptic paroboloid.

Q: Provide a hand-drawn sketch of S using the traces obtained in (a). Label all important points found…

A: As per the question we are given a 3d surface S defined as : 4x2 - (y-3)2 + 4z2 = 4 And we have to…

Q: y = In(3x), y = 1, y = 3, x = 0; about the y-axis V = Sketch the region. y y 4 6 4 4 6 X -1 4 y y 4…

A: The objective is to find the volume V of the solid obtained by rotating the region bounded by the…

Q: az Given the ellipsoid = 3 , find (7.0. 2). + 2

A: The equation of the ellipsoid is x2+y22+z22=3We should find ∂z∂x at (7,0,2).

Q: Karla is running along a circular race track that has a radius 3.3 km long. She starts at the…

A: O : Center of the park A : Karla's starting point B : The point where Karla passes Gabriel C : The…

Q: Determine the type of shape graphed below, based on its coordinate properties (not its looks). A.…

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Q: 3. Summarize the possible ways the following figures could intersect: a. two lines b. a line and a…

A: We have to summarize  the possible ways that following figures could intersects. a) two lines b) a…

Q: Suppose you have a box centred at C(a, b, a + b), having a length (along x-axis) of 2a units, width…

A: Given that a=5, b=2. Let O be the origin. Then, OX on the x-axis, OX=2a=2×5=10units. OY is on the…

Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation…

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Q: Find the center and radius of the circle represented by the equation below. 2 x² + y² - 18x+10y + 25…

A: The given equation of circle is x2+y2-18x+10y+25=0

Q: a. Sketch v - w by placing the initial point of -w at the terminal point of v. - b. Sketch v – w by…

A: Given

Q: 2. Find the volume of the storage container shown. Round to the nearest lenth. 15 in 10 in

A: Given: The storage container, To find: The volume of storage container given.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.