3. Use triple integrals in spherical coordinates to find the volume of the solid bounded above by the cone x² + y² = 3z2, below by the xy-plane, and on the sides by the sphere x² + y² +22² = 9.

Q: The coordinate system to universally convert geometry to algebra and vv.

A: The Cartesian coordinate system to universally convert geometry to algebra and w.

Q: A point in the threedimensional coordinate system has coordinates             (x0, y0, z0). Describe…

A: When we have a three-dimensional space-XYZ. We take a point in the space that is represented by (x,…

Q: 2. Give the equation in the form ax + by +c = 0 fo the line & passing through C(-4, 6) with slope 1…

A: From the given data we have to find the following value.

Q: 4 Write the equation of the parabola given vertex and a point. a) vertex (-2,5); point (3, 6) b)…

A:

Q: Determine the cosine of the angles of the triangle whose vertices are (1, −1, 2), (3, −2, 1), (4, 2,…

A:

Q: On the coordinate axes above, plot and label the following points. Draw any guiding lines (or arcs)…

A: The graphical representation of co-ordinate system : Cartesian/Rectangular coordinate system :…

Q: What is meant by the conjugate axis and focal axis?

A: To define conjugate axis and focal axis.

Q: Reftections about the y-axis.

A: Reflection about the y-axis: When a point (x,y) is reflected about the y-axis, the x coordinate of…

Q: Solve (-1+1) using De Moivre's Theorem. Express final answer as rectangular form.

A: We need to use De Moivre's theorem to evaluate -1+i6 De Moivre's theorem is the following:…

Q: SITUATION. A vertical parabola passes through (3, 6), ( 5, -7) and (9, 4). The axis of symmetry is?

A: Let's find axis of symmetry.

Q: Question: Consider the two points, a =2 and 6 = 21. Part A: Find the convex combination of the two…

A:

Q: Eliminate the parameter (NO SPACES). - x = 2t - 3 and y = 9 – 4t y =

A: given→⇒x=2t-3............(1)⇒y=9-4t.............(2)

Q: A Particle start from the point (-2,-3) and to the point (-6 -7) Find the change ?in coordinates of…

A: A particle start from point (-2,-3) and to the point (-6,-7).

Q: Find an equation of the plane

A:

Q: Find an equation of the sphere that passes through the origin and whose center is (3, 4, 2). Need…

A: First we have to write general equation of sphere.

Q: Define the term parabola?

A: Given: The term parabola.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT In the parabolic reflector, the light source is placed at the…

A:

Q: What are the coordinates?

A: To answer the above question, suppose that the horizontal bold line represents the x-axis and the…

Q: Reflect over the y-axis.

A:

Q: Write the equation of a parabola given vertex 2,4 and point 8,0. And please identify the focus.

A:

Q: Describe how to change an equation to translate the parabola vertically

A: We can translate the parabolic equations vertically. To produce the new parabola that is similar to…

Q: The point (2, -3), is the top of a triangle. Which point would it map to if the triangle was…

A:

Q: 4. Convert the following equations from vertex form to standard form. y = -2(x.+ 1)² + 1

A: