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14. Find product: (2x +y)(2x - y) 15. Factor: 4xy +2y 6x + 3 2 16.Factor:...
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
Exercise 2 (4 marks) Consider the equation, (2y 6x)dr + (3r - 4xy 1)dy 0 1. Is it exact? 2. Use a special integrating factor to solve the equation. Exercise 2 (4 marks) Consider the equation, (2y 6x)dr + (3r - 4xy 1)dy 0 1. Is it exact? 2. Use a special integrating factor to solve the equation.
3. (20 p.) Let 2x-2y + 6z = 18 , 3y =-6x + 15 and -9z + x +2y-7-0. Solve this linear equation system for variable y by using Cramer rule.
1.Find fxy(x,y) if f(x,y)=(x^5+y^4)^6. 2. Find Cxy(x,y) if C(x,y)=6x^2-3xy-7y^2+2x-4y-3 Find (,,(Xy) if f(x,y)= (x + y) fxy(x,y) = Find Cxy(x,y) if C(x,y) = 6x² + 3xy – 7y2 + 2x - 4y - 3. Cxy(x,y)=0
#16 Please. Step By Step explanation would help me understand. Thank you. In Exercises 1-17 find the general solution, given that yı satisfies the complementary equation. As a byproduct, find a fundamental set of solutions of the complementary equation. 1. (2x + 1)y" – 2y' - (2x + 3)y = (2x + 1)2; yı = e-* 2. x?y" + xy' - y = 3. x2y" – xy' + y = x; y1= x 4 22 y = x 1 4....
1. Find Derivative: y=2x^3 ln(2x^3+7) a. y' = 36x^4 ÷ 2x^3+7 b. y'=12x^5 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) c. y' = -36x^4 ÷ 2x^3 +7 d. y'=12x^5 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) e. y'=2x^3 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) f. 2x^3 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) 2. Find exact value of the expression. Sin(arctan(x/4)) a. √16-x^2 ÷ x. b. x ÷√16-x^2. c. undefined. d. √16+x^2 ÷ x. e. 4 ÷ √16-x^2 f.none
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
3. Given the following system of linear equations: 2x + y = 16 x + 2y = 14 (a) Find the solution using the graphical method. Please show each step and not a screenshot of just the graph on excel
Find an integrating factor for (2xy^2)dx + (2x^2y+x^2y^2)dy = 0
Let f(x,y) = 4xy* + 2x²y. Find axay and Jyox