Suppose you need to know an equation of the tangent plane to a surface S at...
3. Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1,3). You don't have an equation for S but you know that the curves r(t) = (3 + 3t, 1-t2,3 - 5t + t2) rz(t) = (2+u, 2u3 – 1,2u + 1) both lie on S. Find an equation of the tangent plane at P.
Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 4). You don't have an equation for S but you know that the curves r1()(3 2t, 1 - t2,4 5t+t2) r2(u) (2u2, 2u3 1, 2u 2) both lie on S. Find an equation of the tangent plane at P. Find an equation of the tangent plane to the given surface at the specified point. = 4x2y2-9y, (1, 4, 16) z...
1) Assume you are given the surface S with equation 2 1- (a) Find the equation of the tangent plane to S at the point (V6, 1) (b) Find a point on the surface S so that the tangent plane to S at that point contains the point (3,0, 0). (c) Give an equation for and geometrically describe the set of points on S so that the tangent plane to S at those points contains the point (3, 0,0). 1)...
Find an equation of the plane tangent to the following surface at the given point. yz e XZ - 21 = 0; (0,7,3) An equation of the tangent plane at (0,7,3) is = 0. Find the critical points of the following function. Use the Second Derivative Test to determine if possible whether each critical point corresponds to a local maximum local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the...
Which of the following is the equation of the plane that is tangent to the surface 222 + y² - zz-32= -1 at the point P (1,-1,1)? 3 x + 2y - 42 = -3 5x – 2y - 42 = 3 3x - 2y - 32 = 2 3x - 2y - 42 = 1 52 – 2 – 3z = 4 00 Mark This Question
i need justification please Exercise 1. Tangent plane (15 pts) Let (S) be the surface given by the following equation. x+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y -z = 0 c. x + 2y – 2z = 1 d. x + y - z= 2 e. None of the above Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy +z...
Exercise 1. Tangent plane (15 pts) Let (S) be the surface given by the following equation. x+y2 = 1 + z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y - 4z = 1 b. x +y - z = 0 c. x + 2y – 2z = 1 d. x + y -z = 2 e. None of the above a b d. Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy...
QUESTION 1 Find an equation for the tangent plane and normal line to the surface f(x, y, z)= z - 2e-* cos y at the point P. (0,1,1) (4 marks)
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(O) + sin(40) y = sin(0) + cos(40) O = 0 y(x) = Need Help? Read It Talk to a Tutor 2. [-14 Points] DETAILS SESSCALCET1 9.2.010. Consider the following: x = t3 - 12t y = 2 - 1 (a) Find the following. dy dr = dy dr2 = (b) For which values of t is the...
o1 points 1 Previous Answors LarPCalc8 10.2.012. 1. Describe in words how a plane could intersect with the double-napped cone shown to form the conic section. (Select all that apply.) Hyperbola e The plane intersects both the top and bottom of a double-napped cone. The plane is perpendicular to the axis of the cone. e The plane intersects only the top or bottom half of a double-napped cone. The plane is parallel to the axis of the cone. The plane...