解析 ln3-ln2 1((t+1)(t+2))=(t+1)+(t+2)1=A(t+2)+B(t+1)Let x=-21=-BB=-1Let x=-11=A\int\limits_{0}^{2}\dfrac{1}{t+1}-\dfrac{1}{t+2}\d t[ln|t+1|-ln|t+2|]^2_0[ln 3-ln4]-[ln 1-ln2]ln 3-2ln 2+ln2ln3-ln2 units2...
The curve C has parametric equations x=t^3 -3t , y=t^2 -5t -1 . Find an equation of the tangent line to C at the point corresponding to t=2 . For what values of t is the tangent line hori Find parametric equations ...
A curve C has parametric equations x=3t^2, y=6t.Find the value of t at the point on C where the tangent has gradient 0.4 . 相关知识点: 试题来源: 解析 t=2.5 We are given that ()()=()() ÷ ()()=6(6t)= 1t=0.4So t=2.5. ...
解析 ()(θ)=sec^2(θ-4)()(θ)=sec(θ-4)tan(θ-4)()()=(sec^2(θ-4))(sec(θ -4)tan(θ-4))()()=(sec(θ-4))(tan(θ-4))()()=1(cos(θ-4))⋅(cos (θ-4))(sin(θ-4))()()=(cosec)(θ-4) as required反馈 收藏 ...
(1)Find a rectangular equation of the strophoid. (2)Find a polar equation of the strophoid. (3)Sketch a graph of the strophoid. (4)Find the equations of the two tangent lines at the origin. (5)Find the points on the graph at which the tangent lines are horizontal. ...
题目 A curve C is defined by parametric equations x=e^(2t), y=\ 5e^(-t), t∈ RWrite the Cartesian equation of the curve,stating the domain and range. 相关知识点: 试题来源: 解析25=xy^2 domain x>0; range y>0.反馈 收藏
结果1 题目 For the curve with parametric equations x=acos θ , y=asin θ , show that y=asin θ . Hence find the equation of the tangent to the curve at the point where θ =π 4. 相关知识点: 试题来源: 解析 x+y=a√ 2 反馈 收藏 ...
百度试题 结果1 题目 A curve has parametric equations x=sint y=cos2t 0≤t2πThe curve cuts the x-axis at (a, 0) and (b, 0).Find the value of a and b. 相关知识点: 试题来源: 解析 反馈 收藏
one of two or more equations expressing the location of a point on a curve or surface by determining each coordinate separately. [1905–10] Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved....
Question: The curve with parametric equations x(t)=lnty(t)=t is rotated fully about the x-axis between the points (0,1) and (ln2,2). Find the curved surface area of the solid generated. Hint: You may use the fact that ∫sec3θ=...