to the plane containing (-1,1,2), (9,2,0), and (3, 1,1) S2. Find the equation of the tangent plane to the graph of f(x,...
1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint
1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint
2r2-3ry equation for the tangent plane to the graph of f(x, y) (2, 1). 5. Find an at (r, y)
2r2-3ry equation for the tangent plane to the graph of f(x, y) (2, 1). 5. Find an at (r, y)
Find an equation for the line tangent to the graph of y=x3+ √xy + y3=3 at the point (1,1).
32 Find the equation of the tangent line to the graph of f(x) = x5 10 at x = 2. x3 V= Submit Answer Tries 0/99 Find the derivative of y = 7 sin x – 9 cos X. Remember to type in the parenthesis for trigonometric functions, for example, sin(x). y'(x) = Submit Answer Tries 0/99 Find the equation of the tangent line to the graph of y = 3 sin x at x = TT. y Submit Answer...
Find the equation of the tangent line to the graph of the function f (x) = sin (777) at the point (-2,0).
1. Find the equation of the tangent line to: a) y = x2 – 3 at the point (2,1) b) y = cos x at the point (1,1) c) y=e" at the point where r = 1 d) r3 + y3 = 19 at the point (3,-2) 2. Find the equation of the normal line to: a) y = r at the point (2,8) b) y=x+ at the point where x = 2 c) y = 2:03 - 5x +...
4. (4 pts) Consider the
surface z=x2y+y3.(a) Find the normal direction of the tangent plane
to the surface through (1,1,2).(b) Find the equation of the tangent
plane in (a).(c) Determine the value a so that the vector−→v=−−→i+
2−→j+a−→k is parallel to the tangent plane in (a).(d) Find the
equation of the tangent line to the level curve of the surface
through (1,1).
4. (4 pts) Consider the surface z = z2y + y). (a) Find the normal direction of the...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
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]...
UU. LIUC JUULIULIS. 1) Find the equation of the tangent plane to the graph z = 2x2 + 2xy + y2 + 1 at the point P(-1, -3, 18). 2) Find all critical value(s) and classify as maxima/minima/saddle points/none. F(x,y) = 2x + 4y - x2 - y2 - 3 3) Find the directional derivative of z = xy +x in the direction of v= <3,-4> at the point Q(1,4). Also find the direction of maximum increase at this point....