Find the area of the surface.The part of the surface z=xy that lies within the cylinder x^2+y^2=1 相关知识点: 试题来源: 解析 (2π )3(2√ 2-1) z=f(x,y)=xy with 1x^2+y^2≤q 1, so f_x=y, f_y=x ⇒ \begin{split} A(S)&=\iint _{D}\sqrt {1+y^{2}+x^{...
Surface of Revolution : When we have a region bounded by a curve in the form {eq}x = f(y) {/eq}, and we want to find the surface area of revolution about the {eq}x {/eq}-axis, then we can use the followin...
Find the area of the surface obtained by rotating the curve y = \sin \pi x; \quad 0 \leq x \leq 1 about the x-axis. Find the area of the surface obtained by rotating the curve x=6e^{2y} from y=0 to y=8 about the y-axis. Find t...
Find the area of the surface formed by revolving the portion in the first quadrant of the graph of x^(2/3)+y^(2/3)=4, 0 ≤ y ≤ 8, about the y-axis. 相关知识点: 试题来源: 解析 (384 π )5 反馈 收藏
Answer to: Find the area of the surface formed by revolving about the x-axis the parabola: y^2 = 2x - 1, from y = 0 to y = 1. By signing up, you'll...
Find the area of the surface generated by revolving x= 4 \sqrt{9-y}, \quad 0 \leq y \leq \frac{135}{16} about the y-axis Find the area of the surface generated by revolving x= 4\sqrt{9-y} ; 0 \leq y \leq 135/16 about the y-axis ...
Find the surface area of a rectangular prism with length 7 units, width 5 units, and height 10 units.Page 19: 相关知识点: 试题来源: 解析 310 计算长方体的表面积需要使用公式:2*(长×宽 + 长×高 + 宽×高)。 根据题目给出的数值:长=7,宽=5,高=10,代入公式: 1. 计算各面面积: - ...
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百度试题 结果1 题目Find the surface area of the following prisms.I cm4 cm3cm 相关知识点: 试题来源: 解析 38cm2 反馈 收藏
Find the area of the surface. The part of the paraboloid z=1−x2−y2 that lies above the plane z=−6. Solving the Surface Area: Finding the area of the surface z=g(x,y) which is above the XY-plane is done by using the double integral formula...