A space curve is defined by Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u = 4 Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the
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A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u1 Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax For example: 3*x-2*y+5*z-2, or, 2*(x-1)+4*(y-2)+z-1-0, or 3x+ 6*z-12-y, or y-x+35*(z-256)-20 Do not use decimal approximations all numbers should be entered as exact expressions, for example...
4. Find a rectangular equation for the plane curve defined by the parametric equations x=3sin()y = 3 cos(1) (a) y = x-3 (C) y = 7-9 (b) x + y = 9 (d) x+y = 3 5. Write the equation r = 4 cos in rectangular form. (a) x + y - 4y (b) x² + y = 4x (C) (x + y) = 4x (d) (x+y)* = 4y 6. Write [2(cos 15° + i sin 15°)] in rectangular form....
A space curve is defined by C: T(t)=(5t2+4t)2+4tj+t3k, for t> 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point P: (28, 8, 8). Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax For example: 3*x-2*y+5*z=2, or, 2*(x-1)+4*(y-2)+z-1=0, or 3*x+ 6*z=12-y, or y-x+35*(z-256)=20 Do not use decimal approximations all numbers should be entered as exact expressions,...
For the elliptic-paraboloid find the Cartesian equation of the tangent plane at the point on the surface where x = -2 and y = 1. Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax. For example: 3*x-2*y+5*z=2, or, 2*(x-1)+4*(y-2)+z-1=0, or 3*x+ 6*z=12-y, or y-x+35*(z-256)=20 Do not use decimal approximations all numbers should be entered as exact expressions, for example 5/2 2x2+y2-10-2, 0 < z < 10 2x2+y2-10-2, 0
Question 12 (2 marks) Attempt 1 A space curve is defined by C:u)2i+u+3u2k, for u20 Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u 1 Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax. For example: 3*x-2y+5'z-2, or, 2 (x-1)+4 (y-2)+z-1-0, or 3'x+ 6'z-12-y, or y-x+35 (2-256)-20 Do not use decimal approximations all numbers...
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6 Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
4. Chemical Reaction: Consider the following chemical equation: Where x , y , z ,u and v are the numbers of molecules of NH3 , , H, , H,0 and . respectively, to be determined. [Here, a molecule with the symbol NH indicates that it contains 1 atom of the element N and 3 atoms of the element H. Similar interpretation applies to the other molecules in the equation.] Given that the total number of atoms for each of the...
Solution please, previous are wrong ! thanks A space curve is defined by C: (s)=(3s2+4)2+(s+7)j+4sk. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where s 2 Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax. For example: 3*x-2*y+5*z-2, or, 2 (x-1)+4*(y-2)+z-1-0, or 3*x+ 6*z=12-y, or y-x+35*(z-256)-20 Do not use decimal approximations all numbers should be...
4. Suppose you are given an equation of the form F(x, y,z) 0. Then we can say that each of the variables is defined implicitly as a function of the others. 2 a) If F and z(x, y) are both assumed to be differentiable, fnd in terms of partial derivatives of F. b) Under similar assumptions on the other variables, find 4. Suppose you are given an equation of the form F(x, y,z) 0. Then we can say that each...