【题目】Write an expression for the area of a surfacewith equati mz=f(x,y),(x,y)∈D. 答案 【解析】A(S)=∫ ∫_D√(|f_x(x,y)|^2+|f_y(x,y)|^2+1),A相关推荐 1【题目】Write an expression for the area of a surfacewith equati mz=f(x,y),(x,y)∈D.反馈 收藏 ...
Find the area of the surface which is the part of the hyperbolic paraboloid z = y^2 - x^2 that lies between the cylinders x^2 + y^2 = 9 and x^2 + y^2 = 25 . Find the area of the surface which is the part of th...
Find the area of the surface generated by rotating the curve x=\frac{1}{3}(y^{2}+2)^{\frac{3}{2, 0\leq y\leq 2, about the x-axis. Find the area of the surface generated by rotating the curve x= \frac{1}{3}(y^2+2)^{3/2}...
Below is the graph of the bounded region: Graph of the bounded region From the given equation, f′(x)=1x Substituting into... Learn more about this topic: Surface Area | Definition, Formula & Examples from Chapter 1/ Lesson 4 353K ...
{eq}A = \int {\int {\sqrt {1 + {{\left( {\dfrac{{\delta z}}{{\delta x}}} \right)}^2} + {{\left( {\dfrac{{\delta z}}{{\delta y}}} \right)}^2}} dydx} } \\ {/eq} Answer and Explanation:1 Given The equation ...
Surface area =6.25+5+5+5+5=6.25+(4×5)=26.25 cm2Surface area =6.25+5+5+5+5=6.25+(4×5)=26.25 cm2Surface area =6.25+5+5+5+5=6.25+(4×5)=26.25 cm2 The total surface area can also be written in one equation: Surface area of pyramid =Area of base +Areas of triangular face...
Find the surface area of the sphere below to 1 decimal place. The formula for the area of a sphere is: A=4πr2 If we substitute the values of the radius into this equation, we get: A=4π(8)2=4π(64)=256π This gives us a final answer of: A=804.2 cm2 Area...
Volume and Surface Area of Conical Cone Equation and CalculatorA cone is a three- dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. More precisely, it is the solid figure bounded by a base ...
Determine what basic shapes are represented in the problem. Each shape must have its own area equation. In the example mentioned, the yard is a rectangle, and the swimming pool is a circle. Often, these problems and situations will deal with polygons or circles. Many polygons have well def...
The area is the size of a two-dimensional surface. The area of a plane surface is a measure of the amount of space on it. Calculating areas is a very important skill used by many people in their daily work. Like builders and tradespeople often need to work out the areas and ...