A lamina in the xy−plane occupies the region that is bounded by the curves 21yx=−, 29yx=−, 3yx=, and yx=−. (This means that each of the four listed curves forms a part of the boundary.) a) Sketchtheregion in the xy−plane. Label the boundary curves and shadethe region. b) Suppose that the mass density of the lamina at each point is proportionalto the square of its y−coordinate. Write a formula for the mass density function and include its units, supposing that mass is measured in kg and distance is measured in meters. c) Express the total mass of the lamina as an iterated double integral expression using Cartesian (rectangular) coordinates, with integration with respect to yfirst. d) Convert the double integral in (c) to polar coordinates andevaluate to find the total mass of the lamina.

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I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?