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 bounded by the curvesx=7−y2,x=0 Calculus:Centroid Of The Bounded Region: After graphing the given equation the next thing to do is calculate the area of the region. You will use this area to find the coordinate of the centroid . The coordina...
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...
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....
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 ) of...
Question: Find the centroid (x‾,bar (y)) of the region bounded by: y=6x2+7x,y=0, and ,x=3x‾= ?bar (y)= ‾=bar(y)= There are 2 steps to solve this one.
Find the exact area in the first quadrant bounded by the following curves. {eq}y = e^x {/eq} {eq}y = \frac {1}{4} xe^x {/eq} Area of the Region: To solve the area of the region we will use the formula {eq}A=\int_{a}^{b}\left [ f(x)...