Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2 44 1 2 3 4 5 -2 -3

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Q: Find the greatest value of x2y³ where x and y lie in the first quadrant on the line 3x + 4y = 5.

A: We have to solve given Questions.

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Q: Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

A: To Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

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Q: Find the largest z for which 2x + 4y = 5 and x2 + z2 = 2y.

A: Given- 2x+4y=5 and x2+z2=2y To find- The greatest vlue of z. Concept Used- To find the largest…