Consider the following equations. y = -x² + 2x + 2 y = -x + 2 Sketch the region bounded by the graphs of the equations. y y y 10 10 10 5 5 X X X -10 -5 5 -10 -5 5 10 -10 -5 5 10 -5 -5 -5 -10 -10F -10 -10 O -5 y 10 -5 -10 Find the area of the region. 5 10 10 X X X

Q: OBC is a right triangle with right angle C. this triangle base is on the positive x axis the vertex…

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Q: Determine the area of the shaded region in the following graph. (-2,8) -2 8 (2,8) y = 2r² y=²-2r² 2

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Q: Solve. Maximize P = 4x + 3y, subject to: 3x + 5y ≥ 20 3x + y ≤ 16 – 2x + y ≤ 1 x ≥ 0, y ≥ 0

A: The given linear programming problem is, Maximize P=4x+3y3x+5y≥203x+y≤16-2x+y≤1x≥0,y≥0

Q: Let R be the region bounded by the functions f(x) =-3x²+3 and g(x) = 3x2 - 3 as shown in the diagram…

A: Concept: Here the area will be given by: Area  A=∫abhx -kxdx Here, a and b are the points on which…

Q: -4 x = y² - 3 -2 y 3 2 -2 -3 y = 1 x = e 2 y = -1 4 X

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Q: 1. that has been shrunk vertically by a factor of The shape of y = Preview

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Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

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Q: Find the area of the rectangle with dimensions -4y²z² and 3y² + 12xy - z². Label the rectangle…

A: GUIDE: (1) Area of Rectangle  Area=length×width Step 1: Write the given Dimension:…