To understand solid of revolution, we first assume a function y=f(x) on an interval [a,b]. If we rotate this curve around x-axis or y-axis, we get a 3-d solid.If we rotate around x-axis, we get a solid like the one shown below Now we shall simply use the formula to find ...
According to the research on the structure of background value in the GM(1,1) model, the background value's structure method of GM(1,1) model, a exact formula about the background value of x~(1)(t) in the region [k,k + l] .which is used when establishing GM(1,1), is ...
Area under the Parabola x2=2ay:The equation can be rewritten as:y=x22aThe area under this parabola from x=a to x=√2a is given by:Areaparabola=∫√2aax22adx Step 4: Total Area CalculationThe total area between the curves is:Total Area=Areacircle−Areaparabola Step 5: Evaluate the ...
Figure 2. Area under a curve example 1.Solution to Example 1 Two methods are used to find the area. Method 1 This problem may be solved using the formula for the area of a triangle. area=(1/2)×base×height=(1/2)×2×4=4unit2area=(1/2)×base×height=(1/2)×2×4=4unit2 ...
Ameliorating GM (1, 1) Model Based on the Structure of the Area under Parabola Book Title Bio-Inspired Computing and Applications Book Subtitle 7th International Conference on Intelligent Computing, ICIC 2011, Zhengzhou,China, August 11-14. 2011, Revised Selected Papers Pages pp 259-266 Copyright...
Definite integral is used to find the area under the curve. In this question the function given is a parabola and the limits are given. We can easily find the area under the curve by the following formula: {eq}A=\int_{a}^{b}ydx {/eq}...
by doing a definite integral between the two points.To find the area under the curve {eq}y = f(x) {/eq} between {eq}x = a {/eq} and {eq}x = b, {/eq} integrate {eq}y = f(x) {/eq} between the limits of {eq}a {/eq} and...
Step 5: Calculate the area under the circleThe area under the circle from 2√2 to 4 is given by:Area2=∫42√2√16−x2dxTo solve this integral, we can use the formula:∫√a2−x2dx=x2√a2−x2+a22sin−1(xa)+CHere, a=4:Area2=(x2√16−x2+8sin−1(x4))42√2 Ca...
底面undersurface 表面积surface area 体积volume 空间space 双曲线hyperbola 抛物线parabola 四面体tetrahedron 五面体pentahedron 六面体hexahedron 菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square 梯形trapezoid 直角梯形right trapezoid 等腰梯形isosceles trapezoid 五边形pentagon 六边形hexagon 七边形heptagon 八边形...
1、定义 definition 变量 variable 面积 area 直径 diameter 半径 radius 公式 formula 单价 u nit price 范围 range/scope/extent 集合 set 法那么 principle 本金 principal 利率 interest ra te 利息 interest 单利 simple interest 复利 compound interest 正数 positive number 负数 negative number 解析式 analytic...