5 A curve has equaisiny=(2x^2+5x-25)/(x-3)(i)Determine the equations of the asymptotes.(ii) Find the coordinates of the turning points.(iii) Sketch the curve. 相关知识点: 试题来源: 解析 (i)VA x=3 y=(2x^2+5x-25)/(x-3)=(2x(x-3)+11(x-3)!+81)/(x-3) y=2x +...
10 The curves Cf and C, have equations y =(ax)/(x+5) and =(x^2+(a+10)x+5a+26)/(x+5)x+5respectively, where a is a constant and a 2.(i) Find the equations of the asymptotes of C .[2]………(ii) Find the equation of the oblique asymptote of C,.[2](iii) ...
4 The equations of the asymptotes of the graph of y=5-1/2x-5 areA x=5 y=2/5B x=-5/2 y=5C x=5 y=5/2D x=5/2 y=5E x=5 y=-5/25 The polynomial P(x)=X^3+2(X^2)-10X+d is divided by x-1.If the remainder is 6,the value of d isA 10 B 14 C -10 D 2...
the length of the conjugate axis is 2b2b the coordinates of the co-vertices are (0,±b)(0,±b) the distance between the foci is 2c2c, where c2=a2+b2c2=a2+b2 the coordinates of the foci are (±c,0)(±c,0) the equations of the asymptotes are y=±...
The diagram shows a sketch of the graph . The lines and (the -axis) are asymptotes to the curve. On separate axes, sketch the graphs of: For each part, state the equations of the asymptotes and the new coordinates of the point ...
7y150615f(x)=((6x+11))/((2x-3)) (a)(i)On the diagram, sketch the graph of y= f(x),for values of x between x=-4 and x=6. [2](ii) Write down the equations ofthe asymptotes.te.comAnswer(a)(ii)(iii) Write down the co-ordinates of the points where the graph crosse...
The equation of the asymptotes are xa−yb=0 andxa+yb=0 the points of intersection of (1) with the two asymptotes are given by x1=2(x1/a)−(y1/b),y1=2b(x1/a)−(y1/b) x2=2(x1/a)−(y1/b),y2=−2b(x1/a)−(y1/b) Area of the said triangle=12|x1y2...
双曲线渐近线方程为 y = ±(b/a)x,已知渐近线方程为 y = ±(3/2)x,所以 b/a = 3/2 。又因为焦距 2c = 10,c = 5 ,且 c^2 = a^2 + b^2 。联立可解得 a = 4 ,b = 3 ,所以方程为 x^2/16 - y^2/9 = 1 。B 选项中 a = 3 ,b = 4 ,不符合条件;C 选项中 a = 2 ,...
5, write down(i) the equations of the two vertical asymptotes,2(ii) the coordinates of the minimum point.1(b)Show that the equation x= cosec.x has a root which lies between x = 1 and x=2.2(c) Use the iteration xn+1 = cosec (xn), with xo= 1, to find(i) the values of...
the coordinates of any points where y crosses the axes and the equations of any asymptotes.[3] 相关知识点: 试题来源: 解析 (i)Step 1: Translation of a units in the negative x-axis direction;Step 2: Translation of b units in the positive y-axis direction;ORStep 1: Translation of ...