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^{...
百度试题 结果1 题目Find the area of the surface.The part of the cone that lies between the plane y=x and the cylinder 相关知识点: 试题来源: 解析反馈 收藏
Find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and usingyour calculator to estimate the integral.The part of the surface z=cos (x^2+y^2) that lies inside the cylinder x^2+y^2=1 相关知识点: 试题来源: 解析 ≈4.10...
Answer to: Find the area of the surface. The part of the hyperbolic paraboloid z = y^{2} - x^{2} that lies between the cylinders x^{2} + y^{2} = 1...
Find the area of the surface generated by revolving the curve y = \sqrt { 2 x - x ^ { 2 } } , 0.25 \leq x \leq 1.25 about the x-axis. Find the area of the surface generated by revolving the curve x = (y^3)/5, 0 = y = 2 about the y...
Find the area of the surface generated by revolving about the x-axis the curve f(x)=21−x on [−1,0]. Area Under Curves: First we need to understand the area under a curve to solve this problem: Let y=f(x) be the curve, then the area b...
Find the area of the surface obtained by rotating the curve {eq}y = 2 - x^2 ; \quad 0 \leq x \leq 4 {/eq} about the y-axis. Area of a rotated surface: Integration is used to find area of surface rotated around an axis. Let f be a funct...
Let D represent the given triangle; then D can be described as the area enclosed by the x- and y-axes and the line y=2-2x, or equivalently D=\( (x,y)∣0≤q x≤q 1,0≤q y≤q 2-2x\). We want to find the surface area of the part of the graph of z=x^2+y that lies...
Find the area of the surface given byz=f(x,y)over the regionR.(Hint: Some of the integrals are simpler in polar coordinates.) f(x,y)=13+7x-3y R: square with vertices(0,0),(4,0),(0,4),(4,4) There are 2 steps to ...
Question Help: Video There are 3 steps to solve this one. Step 1 Consider the planez=7+4x+3y. The objective is to find the area of the surface of the part of the plane that l...