CALCULUS+ITS APPLICATIONS
CALCULUS+ITS APPLICATIONS
12th Edition
ISBN: 9780135164884
Author: BITTINGER
Publisher: PEARSON
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Chapter CR, Problem 68CR
To determine

To Maximize: The function fx,y=4x+2yx2y2+4 , subject to the constraint x+2y=9 .

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Exercise 1 Given are the following planes: plane 1: 3x4y+z = 1 0 plane 2: (s, t) = ( 2 ) + ( -2 5 s+ 0 ( 3 t 2 -2 a) Find for both planes the Hessian normal form and for plane 1 in addition the parameter form. b) Use the cross product of the two normal vectors to show that the planes intersect in a line. c) Calculate the intersection line. d) Calculate the intersection angle of the planes. Make a sketch to indicate which angle you are calculating.
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rmine the immediate settlement for points A and B shown in figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth of foundation (DF-0), thickness of layer below footing (H)=20m. 4m B 2m 2m A 2m + 2m 4m
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