QUESTION 3 Find an equation of the plane that contains the point (1,2, -3) and the...
Question 11 1 pts What is the equation of the tangent plane of the graph of the function f(x, y) = 2x cos y at the point (1,0, 2)? A) z = x – 2y + 2 B)z = 2x C)z = x + 2y – 2 D)z = 34 ОС OA о B
10. Write an equation for the plane containig the points (-7,2,1). (9.0,-2) and (-5, -1,2). Is this plane parallel, perpendicular or neither to the plane 2x - 3y + 2 = 5? 11. Consider the line that passes through the point (6, -5,2) and that is parallel to the vector (-1, 1, 3). (a) Find symmetric equations for this line (b) Find the point at which this line passes through the yz-plane.
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
TOTAL MARKS: 25 QUESTION 4 (a) Find a normal vector and an equation for the tangent plane to the surface at the point P: (-2,1,3). Determine the equation of the line formed by the intersection of this plane with the plane z = 0. 10 marks (b) Find the directional derivative of the function F(r, y, z)at the point P: (1,-1,-2) in the direction of the vector Give a brief interpretation of what your result means. 2y -3 [9 marks]...
QUESTIONS 1) Which of the following is an equation for the plane that contains the point (3, 2, 1) and is perpendicular to the line with voctor equation Flt) = (1 – 20) T+ 3t 3+ (4 + 1) EY 2.1 + 3y - 2 = 14 03 1+ 2y = 8 022 – 3y – 2 = = 1
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
Find an equation of the plane that passes through the point (9,4,0) and contains the line x = −4−t , y = −2+6 t , z = 4+8 t
5. Find the equation of the plane which passes through the point (6,0,-2) and contains the line x = 4-2, y = 3 + 5t, and z 7+4t.
L defined by the following Question 9 What is the relationship between the vector (1,2,-2) and the line? parametric equations 2= 3+t y = 1 + 2t te R. 2= 1-2t Verify that 2-3-4-1-+1 is an equation of the line.
Question 9: Plane through point and line A plane contains the point P(-1,2,3) and the line L(t), where L(t) is given by equation (2, 4t - 3,1 – 4t). Find the equation of this plane. Type in the equation of the plane with the accuracy of at least 3 significant figures for each coefficient 1 ) x + ( Dy+ ( )= / Save & Grade Save only