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Find parametric equations for the line through Po = (7,-1, 1) perpendicular to the plane 4x...
(1 pt) (A) Find the parametric equations for the line through the point P = (2, 3, 4) that is perpendicular to the plane 2x + 1 y + 3z 1 . Use 't', as your variable, t 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. X= y- (B) At what point Q does this line intersect the yz-plane?
4) Find parametric equations for the line through the point P(3,6,0) and perpendicular to the plane 3x + 6y + 4z = 3 | | | wold moltoupato Carth
Find the equation for the plane through Po(-4.1. - 3) perpendicular to the following line. x= - 4 +t, y = 1-2t, z = - 4t, -00 <t<00 The equation of the plane is 2
(1 point) (A) Find the parametric equations for the line through the point P = (-4, 4, 3) that is perpendicular to the plane 4.0 - 4y - 4x=1. Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. (B) At what point Q does this line intersect the yz-plane? Q=(
Find the centroid of the region bounded by the xy-plane, the cylinder x² + y2 = 1369, and the + 38 = 1. Assume the density of 8(x, y, z) = 1. (Give your answer in the form (*, *, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) (x, y, z) =
Find the equation for the plane through Po(-1, -7,4) perpendicular to the following line. x= - 1+t, y= - 7+ 3t, z = -5t, -o0<t<00 The equation of the plane is 0.
Let c(t) = (712 – 5,5t2 – 30t). Find the equation of the tangent line at t = 3. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y(x) =
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
Find the length s of the path (2 + 141, 3 +212) over the interval 7 <1 38. (Express numbers in exact form. Use symbolic notation and fractions where needed.) s= Find the length s of the path (r + 5,12 + 8) over the interval 5 <1 37. (Use symbolic notation and fractions where needed.) S =
Let f(x, y) = 7x²y + 2x + 2. Evaluate f(5,5). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(5,5) = Evaluate f(x + d, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x + d, y) = Evaluate f(x, y + d). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x, y + d) =