Question: If a variable plane forms a tetrahedron of con- stant volume 64k' with the co-ordinate planes then the locus of the centroid of tetrahedron

If a variable plane forms a tetrahedron of con- stant volume 64k'

If a variable plane forms a tetrahedron of con- stant volume 64k' with the co-ordinate planes then the locus of the centroid of tetrahedron I) xyz = k 2) xyz = 2k 4) xyz = 6k 3) xyz 12k

Step by Step Solution

★★★★★

3.50 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

XYZ Co is a hair product company that has a factory (73 employees) and office (20 employees) in Guelph and a distribution outlet in Scarborough (9 employees). The factory employees are unionized; all...

The volume f a tetrahedron is known to be 1/3(area of base) (height). From this, show that the volume of the tetrahedron with edges a, b, and c is 1/6 |a (b c)|.

A plane harmonic wave with frequency co propagates at a velocity v in a direction forming angles a, , with the x, y, z axes. Find the phase difference between the oscillations at the points of medium...

Given the following information, record the following journal entries and be prepared to explain your answer. XYZ sells motorcycles directly to customers. As part of the selling price, it warrants...

Show that a plane tangent at any point of the surface xyz = k forms with the coordinate planes a tetrahedron of fixed volume and find this volume.

If the base area of the pyramid is A and the (perpendicular) height is h, then its volume is V = Ah/3. We examine the surface xyz = 2 in the 1st octant x, y, z > 0. If we choose an arbitrary point on...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

Before you start solving your problem. open Calcl'lot3d, click on Add to Graph and select Space Curve. Check the box next to the curve, then uncheck it. You can proceed now with your problem {ignore...

Before you start solving your problem, open CalcPlotd, click on Add to lGraph and select Space Curve. Check the box next to the curve, then uncheck it. You can proceed now with your problem (ignore...

Asap plz!! A2. Consider the plane that intersects the coordinate axes at (41,0,0), (0, b, D), and (0, 0, c) where a, b, c > 0. The region in the rst octant bounded by this plane and the planes as =...

The torsional pendulum shown in the figure consists of a horizontal circular disk of mass M = 60 kg suspended by a vertical steel wire (G = 80 GPa) of length L = 2 m and diameter d = 4 mm. Calculate...

The respective production range of Kubin Company is 25,000 to 33,500 units. The average costs per unit when it produces and sells 29,250 units are as below: Average Cost Per Unit Direct materials $...

PARTICIPATION ACTIVITY # 2 Evaluate each of the following limits . Identify any vertical asymptotes of the function Enter the exact answer if it exists, type infinity for . a b , s i n ( a ) , d e l...

The mean content of a box of cat food is 2.50 kg, and the standard deviation of the content of a box is 0.030 kg. There are 24 boxes in a case, and there are 400 cases in a car load as it leaves the...

The whole solution is divided into three files which are server.py, config.cfg, and telegram.py. You need to generate your token in order to use the bot and paste the token in the config.cfg file in...

Using Simpson's rule with n=2, | (x3 + 1) dx = Select one: . 22.01 b. 22 . 22.1 d. 22.2

Heun's Method and the Modified Euler's Method are classified as the Runge-Kutta methods of order 3. Select one: True False

The global error bound for Euler's method depends upon h Select one: O True False

The population city on February 15, 2005 was 36,600. surveillance system that collects and private physician reports of influenza cases each month during the period between January 1 and April 1,...

An object of mass 40 kg is pushed up an inclined plane with a constant speed by a force T. The force T is parallel to the inclined plane. The inclined plane forms an angle of 30 degrees with the...

The following parameters of the arrangement of Fig are available: the angle α which the inclined plane forms with the horizontal, and the coefficient of friction k between the body m1 and the...

The 20-lb disk is mounted on the horizontal shaft AB such that its plane forms an angle of 10 with the vertical. If the shaft rotates with an angular velocity of 3 rad/s, determine the vertical...

Find the acceleration w of body 2 in the arrangement shown in Fig., if its mass is η times as great as the mass of bar 1 and the angle that the inclined plane forms with the horizontal is equal...

For the conic helix of Prob. 11.97, determine the angle that the oscillating plane forms with the y axis.

Show me the steps to solve: A rectangular coil of 5 0 turns with sides of 6 cm and 8 cm , carries a current of 1 . 7 5 A in the direction shown. It is pivoted on the Z axis. If the coil plane forms...