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Jun 2, 2020 ... x^2 + y^2 = 4(x + y).= x^2 -4x + y^2-4y = 0. (x-2)^2 + ( y-2)^2 = 8 this is a circle with center at 2,2 and r = sqrt 8 max will be 2 + sqrt ... Dec 3, 2018 ... This video explains how to write the general form of a circle in standard form and then graph the circle. http://mathispower4u.com. Dec 4, 2014 ... "After we've integrated over y, we're left with a doman in the x-z plane: X=_√4-22. 2 x²+2² = 4. X-2. · x = + √ 4-2² ... ... (x, y) = x2 + y2 − 2x − 4y is ~i +j. Solution: The direction of fastest change is in the direction of ∇f =< 2x−2, 2y−4 > . Therefore we want ∇f =< 2x−2, 2y −4 > ... 2x + 4y = 12. Solve for x & y. 5x + 4y = 16. Noting that the ... 0 = (x + 2)(x − 3). Knowing that y = 6, and x = −2,3, we can express ... ... 2: Now click the button “Submit” to get the equivalent expression. Step 3 ... (x+3), which is called the equivalent expression. Dec 5, 2012 ... x² + 2x + y² + 4y = 5. dy. -(x+1). 2(13+1). (a) Show that dx 2(1,3. (b) Write an equation for the line tangent to the curve at the point (-2, 1) ... Answer to: Use the method of Lagrange multipliers to find the minimum value of f(x,y) = x^2 + 4y^2 - 2x + 8y subject to the constraint x + 2y = 7.... Dec 3, 2021 ... x^2+y^2 +2x - 4y - 8 = 0 Here are 2 methods: 1️⃣ Compare quadratic x²+y²+2fx+2gy+c = 0 & centre (-f,-g) 2f = 2 ⟹ f =1 also 2g = -4 ⟹ g = -2 so ... Solve the simultaneous equations x + 4y = 1 and 2x − y = 3. • We can rearrange the first equation for x and substitute into the second equation; x = 1 − 4y so 2 ...
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