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Determine whether the area of the given unbounded region is finite. If the area
is finite find it
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- 1. Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x) 2. A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/s. How high will the stone go?3 Find the abscissa of the centroid of the region between the parabola y = 9 − x2 and the line y = 2 − 2x from x = 0 to x =2. Express your answer in 3 decimal places.Find a such that the line x = a divides the region bounded by the graphs of the equations into two regions of equal area. . y2 = 4 − x, x = 0
- Find the area of the region bounded by the curve x = 2y², the line 2y = x - 4 and line tangent to the curve at the point (2,1)Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we assume to take this region, which involves point (0,32) inside it - to make it unique)).Calculate the finite area between the curve y = 3x (-x + 1) and the curve y = -3x. These two curves intersect when x = 0 and x = 2.
- 1. Find the area bounded by the lines and curves y = 4x – x² , x =1 and x = 3 2.) Find the volume of solid generated by revolving the region bounded by the lines y = 0, x = 2 and curve y = x² about the x-axis.What is the absolute extrema of Q(y,z) = y2z2 on a region with vertices at the points (0,0), (0,4) and (4,0)?How do I find the area of the region in the first quandrant bounded by the line y=4x, the line x=4, the curve y=4/x2, and the x-axis?
- The region bounded by the curves y=1-x^3. ,y=e^x. And the line y=331- What is the area of br^2 of the region bounded by the graph of the function y = x^3 and the lines y=-1, y = 1 and the y-axis?Find the area of the region bounded on the left by the curves y = e3x and y=3-x, and on the right by the line x = 1.