Find the area enclosed by the curve y=x⁴ and y²=9x
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- Find the y-component a force, 100N, acting 45 degrees to the right of the negative y-axis.Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder x2 + y2 = 9and the planesy + z = 11andz = 2.Determine the dimension b of the square cutout so that Ixy=0 for the region shown.
- It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.Find the area bounded by the parabolas y? = 4 – x and y? = 4 – 4x.Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis. 1 x = 0, x = 7, y = 0 %3D g2 +1' NOTE: Enter the exact answer. V