UU. LIUC JUULIULIS. 1) Find the equation of the tangent plane to the graph z =...
Find an equation of the tangent plane to the surface at the given point. x2 + 2z2ev - * = 22, P= (2, 3, te) Use the Chain Rule to calculate f(x, y) = x - 4xy, r(t) = (cos(5t), sin(3t)), t = 0 force) = +-/1 points RogaCalcET3 14.5.015. Use the Chain Rule to calculate f(x, y) = 5x - 3xy, r(t) = (t?, t2 - 5t), t = 5 merce) = + -/1 points RogaCalcET3 14.5.018. Use the...
2/3 points Previous Answers HarMathAp11 14.4.004 Find the function's relative maxima, relative minima, and saddle points, if th z=x2 + y2-2 ) dne (x, y, z) relative maximum x ) 0,0,2 (x, y, z) = relative minimum X ) dne (x, y, z) = saddle point
only for part e A) Unconstrained optimization: 1) Find the local maxima, local minima and saddle points of the following functions: a)f(x, y)=x²+ y2+2x–6 y+6 b)f(x,y)=(x-1)2-(y-3)? c)f(x,y)=x2-y2–2x-4 y-4 d)f(x,y)=2xy-5x²-2y +4x+4y-4 e)f(x,y)=e(x²+y?)
Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.) z = 6xy - x3 - y2 relative maximum (x, y, z) = (L relative minimum (x, y, z) = (L saddle point (x, y, z) = ( ) ). ) Need Help? Read It Watch It Talk to a Tutor
2. For each function, find all critical points and use the Hessian to determine whether they are local maxima, minima, or saddle points. (a) f(x,y,z) = x — 2 sin x – 3yz (b) g(x, y, z) = cosh x + 4yz – 2y2 – 24 (c) u(x, y, z) = (x – z)4 – x2 + y2 + 6x2 – 22
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...
Find all local maxima, local minima, and saddle points for the function given below. Enter your answer in the form (x, y, z). Separate multiple points with a comma.f(x,y)=2x-2x²+2xy-y²-6
3. Find all local maxima, local minima and saddle points of the graph of f(x, y) 2x4-x2 + 3y2.
e.) What is the equation of the tangent plane to the function z = x2 + 4y2 at the point with x = 2, y = -1? [8 points) f.) For the curve through space F(t) =< sin(3t), cos(3t), 2t>, what is the unit tangent vector at t = 7/2? [8 points] g.) Starting from t= 0, reparameterize the curve r(t) = (1 - 2t) î +(-4+ 2t)ſ+(-3 – t)k in terms of arclength. [8 points]