'First octant' presentation slideshows

First octant - PowerPoint PPT Presentation

200

200

Double Integrals. Area/Surface Area. Triple Integrals. Cylindrical/ Spherical. Chapter 14. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. Evaluate the double integral.

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646 views • 51 slides
The Triple Integral

The Triple Integral

The Triple Integral. Remark. The triple integral of f over the region { (x,y,z) : x ? [ a , b ] , ? (x) ? y ? ? (x) , g(x,y) ? z ? h(x,y) } is equal to: a ? b ? (x) ? ? (x) g(x,y) ? h(x,y) f(x,y,z) dz dy dx = a ? b [ ? (x) ? ? (x) [ g(x,y) ? h(x,y) f(x,y,z) dz ] dy ] dx.

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623 views • 14 slides
9.13 Surface Integrals

9.13 Surface Integrals

9.13 Surface Integrals. Arclength:. Surface Area. Def: Surface Area. 9.13 Surface Integrals. Example:. Find the surface area of that portion of the plane z=6-3x-2y that is bounded by the coordinate planes in the first octant. Ex 1/ pp 527:.

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379 views • 12 slides
22.82 23.235 23.22 25.52 27.22 24.265

22.82 23.235 23.22 25.52 27.22 24.265

Find the area of the part of the plane 20 x + 5 y + z = 15 that lies in the first octant. Select the correct answer. The choices are rounded to the nearest thousandth. 22.82 23.235 23.22 25.52 27.22 24.265. 1. 2. 3. 4.

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206 views • 5 slides
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f (x, y

Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f (x, y

1. 2. 3. 4. Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f (x, y) = {image} , {image}. fmax = 270, fmin = 0 fmax = 30, fmin = - 30 fmax = 270, fmin = - 270 fmax = 0, fmin = - 30. 1. 2. 3. 4. 5.

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352 views • 5 slides

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