Find the length of the curve.(t)=+t^2+t^3, 0≤ t≤ 1 相关知识点: 试题来源: 解析 1(27)(13^(32)-8) (t)=+t^2+t^3 ⇒ '(t)=2t+3t^2 ⇒ |'(t)|=√ (4t^2+9t^4)=t√ (4+9t^2) [since t≥q 0]. Then L=\int ^{1}_{0}|\mathrm{r}'(t)|\d t=\...
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....
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...
Finding the Length of a Curve: Formula for the length of {eq}y=f\left ( x \right ), a\leq x\leq b {/eq}: If {eq}f{}' {/eq} is continuous on {eq}\left [ a,b \right ] {/eq}, the length of the curve {eq}y=f\left ( x \right ) {/eq...
Find the length of the curve y=∫1xt3−1dt,1≤x≤4. Arc Length: We have a planar curve defined by an explicit function in the form of a definite integral. We differentiate this function by using the Leibniz integral rule and calculate ...
Find the arc length of the curve r = 2/theta, for pi/2 less than or equal to theta less than or equal to pi. Find the length of the curve y = 2 ln (sin x / 2), pi / 3 less than or equal to x less than or equal to pi. ...
百度试题 结果1 题目37. Find the length of the curve with the equat sinx^(2/3)+y^(2/3)=1^a060.40.2-1-0.5C0.5-D2-0.40.6a) 6b) 4c) 24d) 12e) None of the above 相关知识点: 试题来源: 解析 a 反馈 收藏
#4) Find the volume of the solid obtained when the region enclosed between the curves: y = x2 – 2x and y = 4 - x?is rotated about the axis x = -1 (the region is rotated about a different axis than in #3) #5) Find the len...
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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+(...