Find the length of the curve.r(t)=<2t,t^2, 13t^3>, 0≤ t≤ 1 相关知识点: 试题来源: 解析 73. r(t)=<2t,t^2, 13t^3> ⇒ \ r'(t)=<2,2t,t^2> ⇒|r'(t)|=√ (2^2+(2t)^2+(t^2)^2)=√ (4+4t^2+t^4)=√ ((2+t^2)^2)=2+t^2 for 0≤ t≤ 1....
百度试题 结果1 题目Find the length of the curve r(t)=(2sin t,5t) from t=0 to t=π . 相关知识点: 试题来源: 解析 16.319 反馈 收藏
Answer to: Find the length of the curve. r(t) = (2t, t^2, 1/3 t^3), 0 less than or equal to t less than or equal to 1. By signing up, you'll get...
Find the length of the curve {eq}r(t) = \left \langle -t \cos t, \ t \sin t, \ \frac{2 \sqrt 2}{3}t^{3/2} \right \rangle {/eq}, where {eq}0 \leq t \leq 5 {/eq}. Length of a Parametric Curve in 3D {eq}{/eq} {eq}\text{Consider...
To use the arc length formula first we find the derivative by using the chain rule. Next, we try to remove the square root in the size of the tangent vector by completing some squares. Answer and Explanation: Remember that the length of a curve {eq}\displaystyle \, y...
百度试题 结果1 题目【题目】Find the length of the curve r(t)=(2sint,5t) from$$ t = 0 t o t = \pi \cdot $$ 相关知识点: 试题来源: 解析 【解析】 16.319 反馈 收藏
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x^2+y^2=4 and the plane x+y+z=2.相关知识点: 试题来源: 解析 13.5191 Let C be the curve of intersection. The projection of C onto the xy-plane is the ellipse 4x^2+y^2=4 or x^2+(...
Answer to: Find the length of the curve x = -6cos(theta), y = -6sin(theta), 0 less than or equal to theta less than or equal to pi. By signing up,...
To find the length of the arc OA of the curve given by y=aln(a2a2−x2), where O(0,0) and A(a2,aln43), we will use the formula for the arc length of a curve defined by a function y=f(x): L=∫x2x1√1+(dydx)2dx Step 1: Find dydx First, we need to differentiate y...
Find the length of the curve r(t)=⟨5cos(2t),5sin(2t),3t⟩ for −8≤t≤10. Arc Length of a Vector Function : First of all, we will find the differential arc length element of the given vector function. It is given by the follow...