049 marks A) Classify and sketch the quadric sarface 2x1 +3y +x in the space zso, . y=1 B) Sketch the lower half of the curve 049 marks A) Classify and sketch the quadric sarface 2x1 +3y +x in t...

Question

Question

049 marks A) Classify and sketch the quadric sarface 2x1 +3y +x in the space zso, . y=1 B) Sketch the lower half of the curve

math calculus

Answer 1

Answer #1

(d) 2x2 +3y2 + 4x--+3:0 32 2-1-1)-3*3-213-2 1/2 1/3 The quadratic surface is elliptical paraboloid, its graph is shown below

2x2 +3y2 +4x-z+3=0 plot Customize |A Plaintext | Interactive Q Enlarge | Data | z 3 1.0 0.5 0.0-0.5-10 0,0

07につ

Answer 2

Similar Homework Help Questions

Part 1: A Space Curve Embedded on a Surface: (material HW1 & HW2) Space curve: *(t)...

Part 1: A Space Curve Embedded on a Surface: (material HW1 & HW2) Space curve: *(t) = (2e+sin(t),6e2t, 2e*cos(t)) A: Find the equation of a quadric surface on which the given space curve is embedded. B: Show the space curve is embedded on this quadric surface. C: Draw a LARGE 3-D diagram of the quadric surface in color (shade BLUE) on an entire page in Landscape and sketch the space curve on the surface in RED for Ost <2nt, label...
1) Consider the surface x2 + 3y2-2z2-1 (a) What are the cross sections(traces) in x k,y k, z k Sketch for (b) Sketch th...

1) Consider the surface x2 + 3y2-2z2-1 (a) What are the cross sections(traces) in x k,y k, z k Sketch for (b) Sketch the surface in space. 2) Draw the quadric surface whose equation is described by z2 +y2 - 221 (a) What are the cross sections(traces) inx-k,y k,z k Sketch for (b) Sketch the surface in space. a) Sketch the region bounded by the paraboloids z-22 + y2 and z - 3) 2 b) Draw the xy, xz, yz...
Classify bifurcations for the system x '= a(1 − x) − xy^2 , y' = xy^2 − (a + k)y, where a > 0 ...

Classify bifurcations for the system x '= a(1 − x) − xy^2 , y' = xy^2 − (a + k)y, where a > 0 and k > 0 are parameters, and sketch the bifurcation curve in the a − k space.

6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration...

6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy. 6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy.
Classify each in terms of linearity, time invariance, memory (static/dynamic), & causality (a) y’’(t) + 3y’(t)=2x’(t)...

Classify each in terms of linearity, time invariance, memory (static/dynamic), & causality (a) y’’(t) + 3y’(t)=2x’(t) + x(t) (b) y’’(t) + 3y(t)y’(t)=2x’(t) + x(t) (c) y’’(t) + 3tx(t)y’(t)=2x’(t) (d) y’’(t) + 3y’(t)=2x2 (t) + x(t+2) (e) y(t) + 3 = 2x2 (t) + 2x(t) (f) y(t) = 2x(t+1) + 5 (g) y’’(t) + e-ty’(t) = | x’(t-1) | (h) y(t) = x2 (t) + 2x(t+1) (i) y’’(t) + cos(2t)y’(t) = x’(t+1) (j) y(t) +t y(t)dt = 2x(t) -infinit,i
8. (b) Sketch the graph of f(x,y) = 1 - x2 - y2. Sketch the level...

8. (b) Sketch the graph of f(x,y) = 1 - x2 - y2. Sketch the level curves of f(x,y,z) = k for f(x,y,z) = 2x - 3y + z-12, with k=0, 24, -12. - 22. 22

Answer each of the following question about the given the 3-dimensional surfaces x + y² +22...

Answer each of the following question about the given the 3-dimensional surfaces x + y² +22 = 20 and 2 = x² + y². (2 pt) A) What quadric surfaces are represented by these equations? Give any details you can. x² + y2 + z = 20 := x2 + y2 (2 pt) B Make a sketch, nothing fancy just a sketch, of these surfaces and identify the space curve of intersection and describe this space curve in your own...
X 2. [18 Marks] For the given sketch of y = - +2, y = x...

X 2. [18 Marks] For the given sketch of y = - +2, y = x + 2 4 i) Find the intersection points A, B and C. (Do not Estimate!) [7 Marks ] y = x + 2 B A
2. [18 Marks] For the given sketch of y = +2, y = x +2. 1)...

2. [18 Marks] For the given sketch of y = +2, y = x +2. 1) Find the intersection points A, B and C. (Do not Estimate!) 4 [7 Marks) B 15FMAT127 Assignment 2 Page 2 of 3 [11 Marks) ii) Determine the shaded area enclosed between the given two curves x3 y = +2, y = x +2 15FMAT127 Assignment 2 Page 3 of 3

Sketch the space curve. Interval Vector-Valued Function r(t) = -ti + 5tj + 2tk [0, 1]...

Sketch the space curve. Interval Vector-Valued Function r(t) = -ti + 5tj + 2tk [0, 1] 6 2 2 6 6 22 7. 4 2 Find its length over the given interval. Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize f(x, y) = 2x + 2xy + y Constraint: 2x + y = 200 file 40.80