Sketch the region that corresponds to the given inequalities. 4x  +  5y  ≤  8 4x  −  5y  ≥  8     −y  ≥  2 Say whether the region is bounded or unbounded. The region is bounded.The region is unbounded.     Find the coordinates of all corner points (if any). (If an answer does not exist, enter DNE.) smaller x-value(x, y) =             larger x-value(x, y) =

Q: Consider the region satisfying the inequalities. Find the area of the region. y se-3x, y > 0, x > 0

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A: we use langrange multiplier method

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A: We will lagrange's multiplier here

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Q: 8. Consider the lines l1, l2, l3, and l4 are given by equations r+y+2 = 0, –x+2y+4 = 0, x + y – 4 =…

A: a) We make a table for each equation x+y+2=0 x 0 -2 y -2 0   -x+2y+4=0 x 0 4 y -2 0…

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A: Given :           Equation of curves as :                  y = 9 - x , y = 0 Formula :           A =…

Q: Practice Question 8.3

A: (a) The given lines are,

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Q: Hi. I have posted a picture of the problem. I'm not sure what they are actually asking for.   Thank…

A: Given inequality is: Given statement is:

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A: Newton Leibniz formula : Suppose h(x) and g(x) are differentiable function of x then ,

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 8. Consider the lines (1, l2, l3, and l4 are given by equations r+y+2 = 0, -r+2y+4=0, r+ y - 4 = 0,…

A: (a)

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A: Given:-  x+4y+z=24⇒x=24-4y-z →      1 and fx,y,z=x-12+y-12+z-12 →        2 plug equation 1  into…

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A: Please refer to the image below

Q: 3) Find the area of the region bounded by the lines y = 0, 2x = 3y, 3x = -4y + 10, and y + 3 = (x -…

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Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  4y ≤ 0 x ≥  0, y…

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Q: Sketch the region that corresponds to the given inequalities. 4x  +  2y  ≥  4 4x  −  2y  ≤  4 x…

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Q: Suppose f(x, y) = x² + y² – 6x and Dis the closed triangular region with vertices (6, 0), (0, 6),…

A: Given,                             f(x, y)=x2+y2-6x                                  (1)and D is…

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Q: Sketch the region that corresponds to the given inequalities. 2x + 3y ≥ 6 2x − 3y ≤…

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Q: 4. f(x, y) = 4x + 4y; R is the region enclosed by the circle x +y = 4. %3D

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Q: Sketch the region defined by the inequalities -1&lt;=r&lt;= 2 and -pai/2&lt;=u&lt;=pai&gt;2

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 − 4x −…

A: Given: Th function is fx,y=2x2+3y2-4x-2 on the disk x2+y2≤16. Definition used: The Lagrange…

Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  6y ≤ 0 x ≥  0, y…

A: We need to Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −…

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Q: 3. Region bounded by y y=x and y = 2x a. revolved about the x-axis (Washers) b. revolved about y=5…

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Q: The area bounded by the curve y = 3/x and the lines x 3 and x = 8 above the x axis is _square units…

A: All options are incorrect.

Q: 10) Find ff, (x + y) dA where R is the region in the first quadrant bounded by x2 + y2 = 4, y = x…

A: x2+y2= 4 is a eqn of a circle having center at (0, 0) and radius is 4y = x is the eqn of a straight…

Q: When P = 3 Q2 Shade the area of the region bounded by the parabola, x² + p? – 2(p + 7)x – 5y + 59 +…

A: At p=3, the equations become: x2+9-20x-5y+59+42=0⇒x2-20x-5y+110=0and x=5,x=15,y=-4 Now, the area…

Q: 5. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3 Then the area…

A: We know  that the area under the graph of a continuous function f (x) between the vertical lines x =…

Q: Find the extreme values of f on the region described by the inequality. a) f(x, y) =(x² +2y²)e*x+y…

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