Solve the problem below using the graphical method. maximize f(y1,y2) =2y1 + y2 subject to { y2 ≤ 10 { 2y1 + 5y2 ≤ 60 { y1 + y2 ≤ 18 { 3y1 + y2 ≤ 44 { y1,y2 ≥ 0

Q: 1. x2 + y? + 5y = 19 2. x2 + 6x + y2 = 7 4. x2 + y2 + 16x - 12y = -7 %3D 3. x2 -8x + y2 +9y 20 %3D

A: General equation of circle is x-h2 +y-k2 =r2 where ( h, k ) is the coordinate of centre of circle…

Q: what is the axis of symmetry y = x2 − 2x − 8

A: The axis of symmetry is x,0. Where x=-b2a. The given equation is y=x2-2x-8. Comparing the equation…

Q: what is the minimum value of f(x)=3x2-18x+25 a. -2 b. 3 c. 6 d. -18

A: Given  f(x)=3x2-18x+25

Q: 6. Find the vertex of f(x)-2x + 8x - 4. State the axis of symmetry and state whether it is a max or…

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Q: (y ≥ 3x + 6 (x + y ≤ 4

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Q: 2. Find values for b and c so that f(x) = 6x² + bx+c has its vertex at (7,-9).

A: As per rule I need to solve only first question.  So I solve only question number 2.

Q: Find all the turning points and determine their nature for the function 3 y=x²-x²-36x + 10 2 O x=1…

A: Solution is given below:-

Q: Find the number of units that must be produced to maximize the revenue function R = –æ³ + 150z² +…

A: We have to find the number of units and maximum revenue.

Q: Itiple 1. Which of the following is the maximum value of the function f(x)=2 sin.xcos.x? a. 2 c. √3…

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Q: -b 2. Use the vertex formula (x =) to find the vertex of f(x) = 2x2 -3x + 5 %3D %3D 2a

A: To determine the vertex of the parabola.

Q: ƒ(x) = 3(x + 2)² − 4 -10 -9 -8 -7 -6 -5 -4 -3 -2 Clear All Draw: vertex: axis: D: R: 10 10+ 9 8 7 6…

A: Answer;   Vertex:(−2,−4)Axis:x=−2D:(−∞,∞)R:[−4,∞)Explanation:Step 1: