Ans. 7.

Use Lagrange multipliers to find the ends of f(x,y)= 2x2 +3y2 subject to the constraint 3x + 4y = 59
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Q2 (7 points) Use Cramer's rule to find only the value of z satisfying the following system: a 3x – y + 2z - - 4 10x – 3y + 5z =-11 20+ y + 4z = 2. nema
3x+ y- P2 2x+3y + 5z =P3 4.36 Use Cramer's rule to solve the following system for z in terms of pı, p2, and p3. (Note that we have not asked for x or y.)
Use undetermined coefficients to find the particular solution to y’’ – 4y' + 3y = e*((22 – 122 )cos(3x) + (58 + 362 )sin(3x)) Yp(x) = Preview
solve this system of equations using Cramers rule 1)find D,Dx,Dy,and Dr 2)find x,y and z problem: x-2y+2z=9 3x+2y-4z=7 3y+5z=-1
Cramer's Rule: 5. Use Cramer's Rule to find x,y and z for the following system of equations. X 2 7x + 2y - z= -1 ។ 6x + 5y + z = 16 -5x - 4y + 3z = -5 2 : 2 a. Write the coefficient matrix first for the system above. Call it matrix D. 7 2 5 L-8-4 3 1 14 ] = 0 b. Find the determinant of the coefficient matrix (det(D)).
Consider the function f(x,y) = xy - 3x-2y2 + 17x + y + 37 and the constraint glx.v) = -6x + 3y - 12. Find the optimal point of f(x,y) subject to the constraint g(x.). Enter the values of, y. f(x,y), and below. NOTE: Enter correct to 2 decimal places y f(x,y) A-