A curve has the equation y=x^3+ax^2-7 where a is a constant.The gradient of the curve when x =4 is twice the gradient of the curve when x =-1Work out the value of a.You must show your working.[5 marks] 相关知识点: 试题来源: 解析 3x2+2ax3(4)2+2a(4) or 48+8a+...
【题目】A curve has equation y=(x-π)sin2x . Show thatthe equation of the tangent to the curve at thepont with xcoordinate is x+y=π. 相关知识点: 试题来源: 解析 【解析】(dy)/(dx)=sin2x+2(x-π)cos2xAt_x=(3π)/4,y=π/(4)and(dy)/(dx)=-1 Simlify y-=-1x--) to ...
例3:A curve C : find the equation of the tangent to C at the point (2,-1), giving your answer in the form ax+by +c=0, a,b,c are integers. 例4:The Curve C has the equation : cos2x+cos3y=1, -π/4 ≤ x ≤π/4, 0 ≤ y ≤π/6, find dy/dx in terms of x and y...
The first term of each progression is 3. Find the common difference of the arithmetic progression and the common ratio of the geometric progression. [5] 5 A curve has equation y = 8x + 2x − 1−1. Find the values of x at which the curve has a stationary point and determine...
[2] (c) Find the area of the shaded region bounded by the curve and the coordinate axes. [2] © UCLES 2020 9709/12/O/N/20 [Turnover PMT 16 11 A curve has equation y = 3 cos 2x + 2 for 0 ≤ x ≤π. (a) State the greatest and least values of y. [2] (b) Sketch ...
6 A curve has equation(x+y)(x^2+y^2)=1 .Find the values f(dy)/(dx)arctand(d^2y)/(dx^2)arctanttlnepi at the point (0, 1). 相关知识点: 试题来源: 解析 (1+y1)(x2+y2)+(x+y)(2x+2yy1)=0 Puts x=D, y=1 to o (x^2+y^2)y_2+2(1+y_1)(2x+2y_1)...
A curve has equation . Show that the equation of the tangent to the curve at the point with x-coordinate is x+y=π . 答案 At , and Simplify to obtain x+y=π 相关推荐 1A curve has equation . Show that the equation of the tangent to the curve at the point with x-coordinate is...
Thetheof概念坐标平面假设在xy-平面上给定了一条曲线(图1),方程φ(z,y)=0称为一条曲线的隐式方程,如果这条曲线上的任一点的坐标(z,y)满足它,并且满足这个方程妒(z,y)=0的任意一对数z,Y是这条曲线上一个点的坐标.显然,一条曲线由它的方程所确定,因而,我们可以说用它的方程表示的曲线.VIP中学数学教学...
The curve passes through the points (1, 18) and (4, 3). (i) Show, by integration, that the equation of the curve is y = 16 x2 + 2. [4] The point P lies on the curve and has x-coordinate 1.6. (ii) Find the area of the shaded region. [4] Differenciation and integration...
Suppose a curve is defined by the equation {eq}\frac{y}{y-x}=x^2-1 {/eq}. Find {eq}\frac{dx}{dy} {/eq}. Implicit Differentiation: Implicit differentiation allows us to take the derivative of a function in which {eq}y {/eq} is not isolated. To take this ty...