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 defined by , , . 相关知识点: 试题来源: 解析 7T 反馈 收藏
Answer to: Find the length of the curve y = ((2x^5/2)/5) + ((x^-1/2)/2) for 1 \leq x \leq 4. Supplement with a graph. By signing up, you'll get...
Answer to: Find the length of the curve y= \sqrt{4 - x^2} for 0 less than or equal to x less than or equal to 2. Note: the integral representing...
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...
【题目】Find the exact length o f the curve$$ y = \frac { 4 \sqrt { 2 } } { 3 } x ^ { 3 / 2 } - 1 f o r 0 \leq x \leq 1 . $$ 相关知识点: 试题来源: 解析 【解析】 一$$ \frac { d y } { d x } = \frac { 4 \sqrt { 2 } } { 3 } \cdot \fr...
百度试题 结果1 题目Find the length of the curve defined by x=cos t, y=sin t, 0≤q t≤q π . 相关知识点: 试题来源: 解析 π 反馈 收藏
Find the length of the curve. y=(x33)+x2+x+14x+4,0≤x≤2 Arc Length of a Curve: To compute an arc length of a curve we need to use the following formulas=∫ab1+(f′(x))2dxwheref′(x)is the derivative of the function with respect to...
Find the length of the curve. $$y = \left ( 1 - x^\frac{2}{3} \right )^{\frac{3}{2}}, \; \frac{\sqrt{2}}{4} \leq x \leq 1 $$ Integration and Differentiation Method: Various derivative and integration formulas and methods must be k...
Find the length of the curve x=−6cos(θ),y=−6sin(θ),0≤θ≤π. Arc Length: The arc length of a curve is calculated by integrating the arc length differential along the desired interval. The arc length differential for a parametric ...