Find the minimum value of the function f(x, y,z)x+ yz parametric equations x t-1, y-t, z t-5 along the line with Select one: a. -3 b. -2 C. -1 d. -5 e. -8

Q: Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

Q: Calculate the equation of the line that passes through the point (0, 1, 2) that is parallel to the…

A: We need to find the equation of the line passing through a point, parallel to a plane and…

Q: 3x, - 2x, + 4X3 = 1 X, + X2 - 2x3 = 3 2x, - 3x, + 6x3 = 8 Select one: O a. x,=1,x,=3, x,=1 O b.…

A: From Cramer's rule,                                  If , ∆=0 then given system has no solution.

Q: Give an equation of the plane determined by the intersecting lines L1 and L2 L1 : x = 2t y = 4 – t z…

A: The equation of two lines is given as follows: L1: x=2t, y=4-t, z=3+t L2: x=2+s, y=-3+2s, z=s The…

Q: For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of…

A: The line passing through the point (a,b,c) and parallel to z axis is  (a,b,c)+t(0,0,1)  That is ,…

Q: P(-2,0, 3) perpendicular to the line x = 1 – t, y = 2 + 2t, z = 3+ 4t is 6. اخترأحد الخيارات x + 2y…

A: Let me discuss this problem in step 2:

Q: The line (x-22-3, y = 2z) intersects the plane (x+3y-2+4= 0) at the point P, Find: a) the…

A:

Q: the center and radius for each. z' + y? = 49 +y? = 324 2² + (y + 2)° = 64 (x+ 2) + y? 64 (z – 5) +…

A:

Q: Find a set of parametric equations for the rectangular equation y=4x-2.

A: Given a rectangular equationy=4x−2To find: parametric equations

Q: Which of the following equations define the plane passing through the points (3,0, 0), (0, –7,0),…

A:

Q: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the…

A:

Q: Let 9 -15 ------ 12 V2 = -6 h = V1 = -3 3 1 - 2 For what value of h is y in the plane spanned by v₁…

A:

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: Give an equation of the plane determined by the intersecting lines L1 and L2 = 2t 15 –t and L2 : {…

A: