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Thus, the interval of convergence is [-1, 1. May not be scanned, copied, or duplicated, or posted to a publicly accessible website, in wliolc or in part. Thus the calulo of points is a plane perpendicular to the line segment joining A and B since this plane must contain the perpendicular bisector ot tne line segment Acs.

For div F, see avriable discussion following Example 5 on page [ET ] as well as the discussion preceding 8 on page 1 [ET 1 ]. Let x, y, z be the dimensions of the rectangular box.

## Cálculo de Varias Variables – James Stewart – 4ta Edición

If a plane is perpendicular to two other planes, its normal vector is perpendicular to the normal vectors of the other two planes. See 7 and the preceding discussion in Section Since f”‘ x is decreasing on [4,4. We use spherical coordinates. As in Exercise 1 5, we place the vertex opposite the hypotenuse at 0, 0 and the equal sides along the positive axes. A normal vector, which is’ perpendicular to the plane, is a, 6, c or any scalar multiple of a, b, c.

All Righls Reserved May nol be scanned, copied, or duplicated, or posted to a publicly accessible website, in whole or in pan. It follows from Theorem 8 i in Section 1 1. The surface is a spiral ing ramp, graph IV. May not be scanned, copied, or duplicated, or posted to a publicly accessible website, in utiolc or in port. The region R is more easily described by rectangular coordinates: If two lines are skew, they can be viewed as lying in two parallel planes and so the distance between the skew lines would be the same as the distance between these parallel planes.

May nol be scanned, copied, or duplicnicd, or posted 10 a publicly accessible website, in whole or in part.

### Solucionario Stewart – Septima Edicion | Heidy Pichardo –

The boatman wants to reach the point 3, 2. So the line intersects the xz-plane at – ,0,. See the statement of Kepler’s Laws on page [ET ]. For if E contains some region F where the integrand is negative, the integral could be increased by excluding F from E, and if E fails to contain some part G of the region where the integrand is positive, the integral could be increased by including G in Variahle.

As in Exercise By Theorem 1 1.

By Formula 5 of Theorem Then by Theorem 1 1. Thus the boat is 16 m downstream. Notice that the curve b has two inflection points at which the graph appears almost straight.

As t increases to 0, x decreases to -1 andy increases to 0. The original equations, claculo the other hand, give circular projections drawn in the counterclockwise direction. Two nonzero vectors can’t be both parallel and orthogonal, so at least one of u, v must be 0.

Thus the region R in xyz-spaw corresponds to the region S in ttuu;-space consisting of the smaller piece of the. We can do this by changing t to 0. Jamed included are all solutions to the Concept Check questions. May nol soljcionario scanned, copied, or duplicated, or posted la a publicly accessible website, in whole or in part. In whole or in part www.

May not be scanned, copied, or diqilicaled. If we zoom in farther, the surface and the tangent plane will appear to coincide.

If an equation is not known, we can use points on the plane to find two non-parallel vectors which lie in the plane. Q Ccngage Learning.

For 6 — 0, n, and 27r, r has its minimum value ofabout 0. May nol be scanned, copied, or duplicated, or stewxrt to a publicly accessible website, in nholc or in part.

To see which is which, we start at the point —3, —1. Integration over D gives the number of infections of the jamew at A due to all the infected people in D. All Riglils Reserved Mav nol be scanned, copied, nr duplicated, or nosjed lo n publicly accessible websile, in wliolc or in pan.

These parabolas open in opposite directions, so the surface is a hyperbolic paraboloid. May not be wanned, copied, or duplicated, or posted to a publicly accessible website, in whole or in pan.

### Cálculo de Varias Variables – James Stewart – 4ta Edición

We group the terms according to the number of digits in their denominators: A variablf v in the direction of this intersecting line is perpendicular to the normal vectors of both planes. May not be scanned, copied, or duplicated, or potted to a publicly accessible website, in whole or in part. The force due to gravity acting on the shirt has magnitude 0. See the discussion preceding Example 7 in Section