Consider the function fix.) - xy - 3x - 2y + 17x+y+37 and the constraint x. - - 6x + 3y - 12. Find the optimal point of f(x,y) subject to the constraint oxy). Enter the values of, . fl.), and below. NOTE: Enter correct to 2 decimal places X=8.50 a у f(xy) - 6.50,3 A 3.83
Problem 2:3 pa velocity vis and a cons 2:(5 pts) xith a diameter of 0.75 m is rotating about a fix axis with an initial angular velocity of 0.25 rev/s and a constant angular acceleration of 0.9 revis. (a) Compute the angular speed of the turntable after 0.2 s (2pts (o) Through how manar spced of the turntable after 0.2 s (Opts) many revol utions has the turntable spun in this time interval? (1pt) al speed of a point on...
5) Compute Joryy2dy, where D is the region bounded by the equations r2+2y 2 +2y 21, 21, 2 0
5) Compute Joryy2dy, where D is the region bounded by the equations r2+2y 2 +2y 21, 21, 2 0
Find an integrating factor for (2xy^2)dx + (2x^2y+x^2y^2)dy = 0
Let D be the rectangle enclosed by the lines x – 2y = 0, 2y 2, 2x + y 0 and 2x + y = 3. Using an appropriate change of variables evaluate х = (2x + y)(x – 2y) dA D
completeness and clarity
2. Find a particular solution for the IVP y" - 2y + 2y = 8(t - 5), y(0) = 0, y0) = 1
2y - 1 E Evaluate by + 2 if possible, for a) y = 2 and b) y = -4. Express answers as integers or simplified fractions, if necessary. 2y - 1 a) For y = 2, the expression 6y + 2 is b) For y = -4, the expression 2y - 1 6y + 2 is
e ana the gradient IV.1 The level curves of the function z fix, y) are sketched in the figure below: 20 50 100 10 150 10 20 30 Let u= (l,-) and v=죠(1,1) Estimate the derivatives at the indicated point: DJい IV.2 (The Directional Derivative) Compute the derivative of the function f(x,y,z)-sin(2x-y)+ cos(2y-2) Ft%r,-r) in the direction of the vector". (-2,-1, 2) at the point
e ana the gradient IV.1 The level curves of the function z fix, y) are...
2. Solve the initial value problem using method of Laplace transforms: y" + 2y' + 2y = 3e1 satisfying y(0) 0 y'(0) =-1
Find a general solution to the differential equation. 1/2y" +2y=2 tan 2t-1/3e2t The general solution is y(t) = _______