3. Use traces to sketch and identify the following surface 25x2 + 4y² + z2 = 100.

Q: 10. Which of the following equations belong to a circle * a. (x - 4)^2 - (y + 2)^2 = 8…

A: some equations are given, we have to identify the circle equation

Q: 1. Identify the quadric surface 2. Write the equation of the traces of the quadric surface on the…

A: The equation is of form  y2-z23-x212=1  This gives a quadric surface called Hyperboloid of two…

Q: 2. Determine the center and the radius of each circle. a) (x+1)2 + (y – 1)2 = 16 b) (x - 2)2 + y² =…

A: We have to determine the centre and the radius of each given circle

Q: Consider the Folowing equation of a quadric surface 4×^2+9y^2+9z^2=36 a. Find the intercepts with…

A: Given question is Consider the following equation of a quadratic surface4×^2+9y^2+9z^2=36. We have…

Q: 9) Sketch the graph of the equation y² +2²=1 and correctly identify the surface.

A: Given: The equation is y2-x24+z2=1. To sketch: The graph of the given equation. To identify the…

Q: Identify and sketch the graph of the following SURFACES. 2 = √9-y²

A: We have z=9-y2 Since z is square root of 9-y2 so z is positive always. We can write z=9-y2 as:…

Q: Evaluate .(x+y² +=?) dS, where S is the portion of the paraboloid x=5+y² + z? contained within the…

A:

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: 13. Consider the equation: 4x² +9z? = 36 Describe the traces. а. b. Describe the rulings. с. Sketch…

A: Here is the solution of the given problem.

Q: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

Q: Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.

A: Given: Equation of circle x2 + y2 + 4x - 8y = 16 To find out: Radius and center of circle.

Q: 4. Given 25 + 20 10 =3, a. Determine the given quadric surface b. Determine the equation of the…

A:

Q: x = z? + y? Name of the surface

A: x=z2+y2 We need to name the surface.

Q: 6. Sketch the graphs of the following equations and identify the surface: (a) x² - 16y² = 4:² (b)…

A: (a) The equation x²- 16y²= 4z² is the equation of an hyperboloid of one sheet. To visualize the…

Q: Write in standard form and identify the surface. Use at least two traces and sketch. Label the…

A: Given,  The surface, 6x2+y+24z2=0

Q: 24. What is the equation of a circle with the center at (1, 3) and a radius of 2 units? a. (x – 1)2…

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