Question 22 Find the equation of the normal to the circle ? + y = 25...
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]...
please circle the answer.
(1 point) Find the equation of the osculating circle at the local minimum of -13 f(z) = 22+52+-2-z+1 Equation
(1 point) Find the equation of the osculating circle at the local minimum of -13 f(z) = 22+52+-2-z+1 Equation
Question 1 Find the equation of the circle shown. 3 2 - 1 +-1 2 3 4 5 6 7 -2 -3 -4 -5 Write equation in standard form:
Question 2 Section 3.5. Problem 40. Find the equation of the line tangent to the graph at the given value of x. 30 + y + 10 at = -1 Oy +3 y = 3 OY+1 OY 1 Question 3 Section 3 5. Problem 58. Use implicit differentiation to find dp/dx atp = 14 60 VP +60 300 W/15 Og 4/11 One 114 15/4
A detailed explanation would be highly appreciated
Question 2 25 (2.1) Consider the vector function C defined by r(t)-ti+2 j. (a) Find the unit tangent, the unit normal and binormal veetors T(t). N(t) and B(t) for C. (6) (b) Find an equation for the normal plane of C at the point (1, 2) (3) (c) Find an equation for the osculating cirele of Gat the turning point of C. (4) (2.2) Reparametrize the curve r(t) (e ,V2t , e) with...
D.E.
(1) y Find the general solution of the differential equation ay - 25 y' + 25 y = 0. (2) Find the particular solution of the initial-value problem y .+ y - 2 y = 0; y(O) = 5, y (0) - - 1 (3) Find the general solution of the differential equation - NO OVERLAP! y. - 3 y - y + 3 y = 54 x - 3e 2x (4) Find the general solution of the differential...
The equation of a circle in x-y planes is x^2+y^2-2x+2y = 0.Find the area of circle.
The equation of a circle in x-y planes is x^2+y^2-2x+2y = 0.Find the area of circle.
14) Find an equation of the tangent line to y= -2x2 + 2x + 1 at the point (-1,0) O y = 3x + 3y = 3x + 3 O y = 6x + 6 O y=-3x - 3 Oy= -6x - 6
Question 6 3 pts If the functions y = x and y = xe are linearly independent solutions of the non-homogeneous second-order linear differential equation with variable coefficients xʻyll – x(x + 2)yı + (x + 2)y = x3, its general solution is given by Oy=C1x + C2x² cm – 23 Oy=C1x2 + C2xell – 23 None of them y = C1+C2ce® +22 O 9= C1z+C2cef - 22