Consider z= sqrt(x^2+y^2). Give the domain and range. Draw the Zx and Zy traces in two...
Consider z= sqrt(x^2+y^2). Give the domain and range. Draw the Zx and Zy traces in two separate plots. Draw contours for 3 different values of a constant Z=C. Then sketch in 3D, being sure to label your axes.
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Consider z= sqrt(x^2+y^2). Give the domain and range. Draw the
Zx and Zy traces in two...
in 3rd question it ask "z=z(x,y), if Z=x*f(y/x) proof x*Zx+y*Zy=z equation " and in 4th question...
in 3rd question it ask "z=z(x,y), if Z=x*f(y/x) proof
x*Zx+y*Zy=z equation "
and in 4th question it ask draw integration area, calculate the
integration and change integration line.
(x,y)–(0,0) x2 + y 3) = = z (x,y) olmak üzere z = xf (9) ise 2 tyzy = oldi 4 2 Dj sin (2²) dady 0 y/2
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...
2. Consider the surface -v 9-2r2-r : f(x, y) z (a) What is the domain and range of f? (b) Sketch the level curves f...
2. Consider the surface -v 9-2r2-r : f(x, y) z (a) What is the domain and range of f? (b) Sketch the level curves for 2-f(r,y) -0,-3,-2V2,-v5 (c) Sketch the cross sections of the surface in the r-2 plane and in the y-z plane (d) Find any z, y and z intercepts Use the above information to identify and sketch the surface.
2. Consider the surface -v 9-2r2-r : f(x, y) z (a) What is the domain and range of...
Given z = 2(x,y),X = x(s,t),y = y(s,t), and zx(-1,1)= 3, zy(-1,1)= 2, xs(-1,1)= -1, x,(-1,1)=...
Given z = 2(x,y),X = x(s,t),y = y(s,t), and zx(-1,1)= 3, zy(-1,1)= 2, xs(-1,1)= -1, x,(-1,1)= 3, ys(-1,1)= 1, z (1,2)=5, z (1,2)=3, x(1,2)= -1, y(1,2)= 1, y,(-1,1)= 4, xs(1,2)=3, xx(1,2)= -2, x(-1,1)= 1, y(- 1,1)=2, 7(1,2)=7, vs(1,2)=2, a. compute ( cas ? )ats = 1,t =2, b. if we plot the surface Z as a function of 5 and t, then at the point (1,2) in the st-plane, how fast is Z changing in the direction (-1,1) in the...
xerc 0 e:0 y ln(r), Let Dbe the following two dimensional donain. D := {(zy) E...
xerc 0 e:0 y ln(r), Let Dbe the following two dimensional donain. D := {(zy) E R2 : 1 S$ where In denotes the natural logarithm and the umber e denotes its base, ie. e 2.71. (1) Sketch the domain D and compute its area. (2) Let us define the domain D as the part of the rectangle [I.ej x (o, I] that is above D. Sketch D and compute its area. (3) Compute Now rotate the domain D around...
1.Z=f(x,y)=6x+7y where i) x=g(x)=x^2 y=h(x)=x^4 and ii )x=g(x)=x and y=h(x)=x^3. Please calculate Total derivative by applying this formula dZ=Zx dx/dx +Zy dy/dx
1.Z=f(x,y)=6x+7y where i) x=g(x)=x^2 y=h(x)=x^4 and ii )x=g(x)=x and y=h(x)=x^3. Please calculate Total derivative by applying this formula dZ=Zx dx/dx +Zy dy/dx
Please help with the first two questions. 1. Sketch the domain of f(x,y) = 14 –...
Please help with the first two questions.
1. Sketch the domain of f(x,y) = 14 – x2 - y2 x-1 2. Sketch the domain of f(x,y) = In(y + x?) - -- y. 3. Find two level curves for f(x,y) = y - x + 1 (make sure to label k-values).
Log(2 - 2) Consider the function f(x, y,z) (a) What is the maximal domain off? (Write your answer...
log(2 - 2) Consider the function f(x, y,z) (a) What is the maximal domain off? (Write your answer in set notation.) Find ▽f. (b) Find the tangent hyperplanes Ta2.1,f(r, y, 2) and To-ef(r, y, 2). Find the intersection (c) On (z, y, z)-axes, draw arrows representing the vector field F = Vf at the points (1,0,1), (d) Find the level set of f which has value ("height") wo 0, and describe it in words and of these two hyperplanes, and...
Please answer both parts and write neatly 3x - y + 4 4. Let h(x, y)...
Please answer both parts and write neatly
3x - y + 4 4. Let h(x, y) (a) State the domain of h. Give a rough sketch of this region in the xy plane; be sure to shade in the area belonging to the domain. (b) Find the equations of level curves for z 2 and for z = 3. Sketch the level curves on the same picture as the domain of f. Label the level curves by the corresponding value...
(10) Consider the vector field F (x, y, z) = (x,y, z). Clearly sketch and label three oriented surfaces S, So and S who...
(10) Consider the vector field F (x, y, z) = (x,y, z). Clearly sketch and label three oriented surfaces S, So and S whose flux is negative, zero, and positive, respectively. Be sure to indicate orientations. Explain your conclusions
(10) Consider the vector field F (x, y, z) = (x,y, z). Clearly sketch and label three oriented surfaces S, So and S whose flux is negative, zero, and positive, respectively. Be sure to indicate orientations. Explain your conclusions
in 3rd question it ask "z=z(x,y), if Z=x*f(y/x) proof
x*Zx+y*Zy=z equation "
and in 4th question it ask draw integration area, calculate the
integration and change integration line.
(x,y)–(0,0) x2 + y 3) = = z (x,y) olmak üzere z = xf (9) ise 2 tyzy = oldi 4 2 Dj sin (2²) dady 0 y/2
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...
2. Consider the surface -v 9-2r2-r : f(x, y) z (a) What is the domain and range of f? (b) Sketch the level curves for 2-f(r,y) -0,-3,-2V2,-v5 (c) Sketch the cross sections of the surface in the r-2 plane and in the y-z plane (d) Find any z, y and z intercepts Use the above information to identify and sketch the surface.
2. Consider the surface -v 9-2r2-r : f(x, y) z (a) What is the domain and range of...
Given z = 2(x,y),X = x(s,t),y = y(s,t), and zx(-1,1)= 3, zy(-1,1)= 2, xs(-1,1)= -1, x,(-1,1)= 3, ys(-1,1)= 1, z (1,2)=5, z (1,2)=3, x(1,2)= -1, y(1,2)= 1, y,(-1,1)= 4, xs(1,2)=3, xx(1,2)= -2, x(-1,1)= 1, y(- 1,1)=2, 7(1,2)=7, vs(1,2)=2, a. compute ( cas ? )ats = 1,t =2, b. if we plot the surface Z as a function of 5 and t, then at the point (1,2) in the st-plane, how fast is Z changing in the direction (-1,1) in the...
xerc 0 e:0 y ln(r), Let Dbe the following two dimensional donain. D := {(zy) E R2 : 1 S$ where In denotes the natural logarithm and the umber e denotes its base, ie. e 2.71. (1) Sketch the domain D and compute its area. (2) Let us define the domain D as the part of the rectangle [I.ej x (o, I] that is above D. Sketch D and compute its area. (3) Compute Now rotate the domain D around...
Please help with the first two questions.
1. Sketch the domain of f(x,y) = 14 – x2 - y2 x-1 2. Sketch the domain of f(x,y) = In(y + x?) - -- y. 3. Find two level curves for f(x,y) = y - x + 1 (make sure to label k-values).
log(2 - 2) Consider the function f(x, y,z) (a) What is the maximal domain off? (Write your answer in set notation.) Find ▽f. (b) Find the tangent hyperplanes Ta2.1,f(r, y, 2) and To-ef(r, y, 2). Find the intersection (c) On (z, y, z)-axes, draw arrows representing the vector field F = Vf at the points (1,0,1), (d) Find the level set of f which has value ("height") wo 0, and describe it in words and of these two hyperplanes, and...
Please answer both parts and write neatly
3x - y + 4 4. Let h(x, y) (a) State the domain of h. Give a rough sketch of this region in the xy plane; be sure to shade in the area belonging to the domain. (b) Find the equations of level curves for z 2 and for z = 3. Sketch the level curves on the same picture as the domain of f. Label the level curves by the corresponding value...
(10) Consider the vector field F (x, y, z) = (x,y, z). Clearly sketch and label three oriented surfaces S, So and S whose flux is negative, zero, and positive, respectively. Be sure to indicate orientations. Explain your conclusions
(10) Consider the vector field F (x, y, z) = (x,y, z). Clearly sketch and label three oriented surfaces S, So and S whose flux is negative, zero, and positive, respectively. Be sure to indicate orientations. Explain your conclusions
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