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...
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. ...
Knowledge Check The tangent to the curve given by x=etcosty=et sint at t =π4 makes with x-axis an angle of A0 Bπ4 Cπ3 Dπ2Submit The graph represented by the equations x=sin2t,y=2cost is View Solution At any two points of the curve represented parametrically by x=a(2cost...
(Mathematics) a set of equations expressing a number of quantities as explicit functions of the same set of independent variables and equivalent to some direct functional relationship of these quantities:a circle x2+y2=r2has parametric equations x=r cos θ and y=r sin θ in terms of the pa...
(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. ...
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 ...
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
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
仅需将x平方与y平方相加，就得到x平方+y平方=1啦！这个x^2+y^2=1呢，是个以原点为圆心，1为半径的圆哦！但是注意，t这个东西表示我们能绕原点在圆周上转多久。这里从0到180度，正好转了圆的一半！所以我们的答案就是这个代入半径的圆弧长公式啦：l=πR=π*1=π。喜欢就采纳哈~...
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 ...