Find the linear equation of the plane through the point (1,2,3)
and contains the line represented...
Find the linear equation of the plane through the point (1,2,3)
and contains the line represented by the vector equation
r(t)=〈3t,5−3t,1−8t〉.
1.-Calculate the magnitude of the electric field Etot in a point
P of the plane with...
1.-Calculate the magnitude of the electric field Etot in a point
P of the plane with coordinates (-4,4) produced by an electric
dipole which is formed by charged +5 nC and -5 nC, which are
localized in the points (-2,0)m and (+2,0)m respectively. Consider
k= 9.00x10^9 Nm^2/C^. Express your result in N/C and with 3
significant digits
1.
(1 point)
Find the distance the point P(1, -6, 7), is to the plane through...
1.
(1 point)
Find the distance the point P(1, -6, 7), is to the plane through
the three points
Q(-1, -1, 5), R(-5, 2, 6), and S(3, -4, 8).
2.
(1 point) For the curve given by
r(t)=〈−7t,−4t,1+7t2〉r(t)=〈−7t,−4t,1+7t2〉,
Find the derivative
r′(t)=〈r′(t)=〈 , , 〉〉
Find the second derivative
r″(t)=〈r″(t)=〈 , , 〉〉
Find the curvature at t=1t=1
κ(1)=κ(1)=
Find the equation of the tangent plane to the surface
z=e^(−2x/17)ln(3y) at the point (−2,4,3.1441).
Find the equation of the tangent plane to the surface
z=e^(−2x/17)ln(3y) at the point (−2,4,3.1441).
Let A be the set of all lines in the plane. Let the relation R
be...
Let A be the set of all lines in the plane. Let the relation R
be defined as:
“l1 R l2 ⬄ l1 intersects
l2.” Determine whether S is reflexive, symmetric, or
transitive. If the answer is “yes,” give a justification (full
proof is not needed); if the answer is “no” you must give a
counterexample.
Find a vector equation, parametric equations, and symmetric
equations for the line through the point (6,...
Find a vector equation, parametric equations, and symmetric
equations for the line through the point (6, -5, 2) and parallel to
the vector < 1, 3, − 2 3 >
Find an equation of the plane. The plane that passes through the
point (?1, 1, 1)...
Find an equation of the plane. The plane that passes through the
point (?1, 1, 1) and contains the line of intersection of the
planes x + y ? z = 2 and 4x ? y + 5z = 3