【题目】A curve has the equation x^3+x^2y=y^2-1 .a)Find an expression for.T he points p and o lie on the curve. p has coordinates (1,a) and o has coordinates (1,b).b) Find the values of a and b, given that ab .c)Find the equation of the normal to the curve at ...
A curve has the equation x^3+x^2y=y^2-1.a) Find an expression for x^3+x^2y=y^2-1.The points P and Q lie on the curve. P has coordinates (1,a) and Q has coordinates (1,b).b) Find the values of a and b, given that a>b.c) Find the equation of the normal to...
A curve has the equation x^2-xy+2y^2=144a Find the equation of the tangent to the curve at the point where the curve intersects the line y=3x in the first quadrant.b I Find the stationary points of the curve. Use graph plotting software to draw the curve and classify the stationary...
百度试题 结果1 题目【题目】A curve has the equation y=sin5+cos3x.Find the equation of the tangent to the curve 相关知识点: 试题来源: 解析 【解析】y=-5+5π-1
百度试题 结果1 题目A curve has the equation y=(x+2)√ (x-1). Hence evaluate ∫ _2^5 x(√ (x-1)). 相关知识点: 试题来源: 解析 (20)3
A curve C has the equation y=x^2e^x+e^xShowing your working, find the stationary point on the curve and show that it is a point of inflection. 相关知识点: 试题来源: 解析 Stationary point at (-1,2e^(-1))Either side of the stationary point (-1,2e^(-1)) So a point of ...
A curve Chas the equation v=x^2e^x+e^xByconsidering(d^2y)/(dx^2)show thatthe curve has another point ofinflecton. 相关知识点: 试题来源: 解析 (d^2y)/(dx^2)=e^x(x^2+4x+3) =e^x(x+3)(x+1) (d^2y)/(dx^2)=0whenx=-3andwhenx=-1 When x=-3,(dy)/(dx)=4e^(-...
【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 ...
【题目】A curve has equation y=2x^3-21x^2+60x+5.6 Copy and complete the tableto show whethery/xarctand(d^2y)/(dx^2) are positive (+), negative (-)or zero (0) for thegiven values of x.023457(dy)/(dx) 相关知识点: 试题来源: 解析 【解析】01234567++00++dx(d^2y)/(dx^2)|...
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 ...