1.y=4x,x=7,x-axis ∫4xdx|[0,7]=2x^2|[0,7]=98 2、x+8y=8,y-axis,x-axis y=1-x/8,0≤x≤8 ∫(1-x/8)dx|[0,8]=x-1/16*x^2|[0,8]=4 3、 y=7x,y=28,y-axis x=y/7 ∫y/7dy|[0,28]=y^2/14|[0,28]=56 4、y=x^2-16x,x-axis x^2-16x=0,x=0或16 ...
Find the centroid of the region bounded by the graphs of y=arcsin x, x=0, and y=π/2. How is this problem related to Example in this section?相关知识点: 试题来源: 解析 In Example, we showed that the centroid of an equivalent region was (1,( π )8). By symmetry, the centroid ...
百度试题 结果1 题目 Find the centroid of the region bounded by the graphs of the equations using any method.y=√(1-x^2), y=0 相关知识点: 试题来源: 解析 (x,y)=(0,4(3π)) 反馈 收藏
Find the centroid of the region bounded by the curves. {eq}y = \sin(2x), \; y = 0, \; x = 0, \; x = \frac{\pi}{2} {/eq} Centroid Of A Function In A Region: If a region R lies between two functions or curves defined by y = f(x) and y = g(x)...
Find the centroid of the region lying underneath the graph of the function {eq}f(x) = \sqrt x {/eq} over the interval {eq}[0,25] {/eq} . Using Integration to Determine the Centroid of a Region Under a Curve: The centroid of a geometric regi...
Find the centroid(xc,yc)of the regionR={(x,y)|92+x≥0 There are 2 steps to solve this one. Calculus expert High-quality solutions Step 1 GIVEN to find out the centroid of given equation R ={(x,y)∣9x2+y2≤1,x≥1,y≥0}} ...
Question: Find the centroid of the region bounded by the graphs of the functions y=2sin(x),y=19x, and x=π2, and touching the origin.The centroid is at (x‾,bar (y)) wherex‾?bar (y)=◻ (ar(y))where...
Find the centroid of the region in the quadrant bounded by the x - axis, the parabola y 2 = 2 x , and the line x + y = 4. The coordinates of the centroid are ( � x , � y ) = Find the centroid ( x , y ) o...
解析 In Figure (b), you can see that the centroid of the circular region is (2,0). So, the distance between the centroid and the axis of revolution isr=2.Because the area of the circular region is A=π, the volume of the torus isV=2 π rA=2 π(2)(π)=4π^2≈39.5....
Answer to: (a) Find the centroid (''x'',''y'') of the shaded area. (b) Find l_{x} and l_{y} for the shaded area about the ''x'' and ''y'' axes. By...