百度试题 结果1 题目4)Find the arc length of the semicircle, rounding your answer to 3 significant figures6 cm Arc length =18.8 cm 相关知识点: 试题来源: 解析 Arc length =18.8 cm 反馈 收藏
解析 Refer to the arc length formula.s=∫ _0^1√(1+[ f'(x)]^2)dx=∫ _0^1√(1+x^2)dx=∫ _0^(π/4)sec ^3 θ d θ=12[ sec θ tan θ + ln | sec θ + tan θ |]^(π/4)_0=12[√2+ ln (√2+1)]≈ 1.148...
Learn how to find the arc length of a sector with the formula and examples. Understand the formula and the method to find the area of a sector with examples. Related to this QuestionA circle has a radius of 4 inches....
Find the arc length of the parametric curve: x = e^{-t} cos (t), y = e^{-t} sin (t), 0 \leq t \leq \frac{\pi}{2} (1) Find the arc length of the curve whose coordinate functions are: x = 2e^t, y = e^-t , z = 2t. from t = 0 to ...
Arc Length & Sector Area | Definition, Formula & Examples from Chapter 9 / Lesson 10 90K Learn how to find the arc length of a sector with the formula and examples. Understand the formula and the method to find the area of a sector with examples. Relate...
解析 √ 2(e^(π/2)-1) (split)∫ _0^(π/2)√ ((e^(θ ))^2+(e^(θ ))^2)θ &=∫ _0^(π/2)√ ((2e^(2θ )))θ\&=√ 2∫ _0^(π/2)e^(θ )θ\&=√ 2(e^(π/2)-e^0)\&=√ 2(e^(π/2)-1)(split)反馈 收藏 ...
百度试题 结果1 题目Find the arc length of the curve on the interval [0,2 π ].Hypocycloid perimeter: x=a cos ^3 θ, y=a sin ^3 θ 相关知识点: 试题来源: 解析 6a 反馈 收藏
View Solution Find the radius of a circle in which an arc of 37.4 cm subtends an angle of 60∘ at the center. View Solution Find the area of the sector and length of the arc subtended by a central angle of 2π3 radians in a circle whose radius is 6 inches. View Solution ...
Learn how to find the arc length of a sector with the formula and examples. Understand the formula and the method to find the area of a sector with examples. Related to this QuestionFind the arc length of the curves: a) y = \sqrt{5-x^2} for 0 \leq x...
Find the arc length of the parametric curve: x=e−tcos(t),y=e−tsin(t),0≤t≤π2 Arc Length of a Parametric Curve: Let us define a plane curve by a set of two parametric equations x=x(t) and y=y(t). Here, the curve is defined over the ...