Given that x+y=4 and x^2-y^2=48.Find the value of 2x-2y

英语翻译一 Given that y varies directly as x^2 and that y=48 when x=4 ,find the equation connecting y and x . Given that x+y=4 and x^2-y^2=48.Find the value of 2x-2y 一道英文数学题write an equation for the line that is perpendicular to the given line and that pass thought the given point:y=(-1/3)x+2 ;the point is (4,2)(-10)x+(8)y=3; the point is (15,12)列如:y= 5x +3; the point is (0,2) y =(-1/5)x-2 我 given that x^3-y^3=(x-y)^3 and that x-y=d (where d not equal to 0),show that 3xy=d^3-d^2. 英语翻译write the slope-intercept equation of the line parallel to the line given that passes through the point given:(6,4),y=1/3*x+1 given that y=(1+4x)e^-2x show that d^2y/dx^2+2dy/dx+xy=0 It is given that f(x-1)= -2(x-1)^3 + (x-1)^2 +x-1 and g(x)=2x^3 - x^2 - x +k.If..It is given that f(x-1)= -2(x-1)^3 + (x-1)^2 +x-1 and g(x)=2x^3 - x^2 - x +k.If the graph of y= g(x) is obtained by translating the graph of y=f(x) upwards by 3 units,an 1.given the function f(x) = 2x*2 +5x -7,find the values of:a) f(-2) b) f(4) c) f(x*2) d) (f(x))*2 e) f(x*2) -xf(x)2.let f(x) =1/2 (2*x (符号是二的x次方) +2*-x (二的-x次方))show that for any real values of x and y,f(x+y) +f (x-y) = 2f(x)f(y ^暂时表示为平方factorise 4x^-36y^（这个答案我知道,use your answers in part to find two possible sets of equations connecting x and y given that 4x^-36y^=388(帮忙解释并解答） An object of mass m = 6.05 kg has an acceleration a = (1.17 m/s2)x + (-0.664 m/s2)y.Three forces act on this object:F1,F2,and F3.Given that F1 = (2.96 N)X and F2 = (-1.55 N)x + (2.05 N)y,find F3.F3=( )X + ( )Y? 一道高数题 Find A and B given that the function f(x) is differentiable at x=1f(x)= x^3 (x1) 高数微积分题一道The base of a circular fence with radius 10 m is given by x = 10 cos t; y = 10 sin t.Theheight of the fence varies from 3 m to 5 m such that,at position (x,y),the height is given bythe function h(x,y) = 4 + 0.01(x2 -y2).Suppos 英语翻译Consider the straight line defined by the equation 3x − 4y = 12.(a) Find the area of the triangle determined by the coordinate axes and the givenline.(5 point)(b) Determine the coordinates of the point on the given line that is clos 几道极其简单的数学题（脑残）不好意思再一次麻烦各位~1,Find the point where the line y=3-4x meets the curve y=4(4x^2+5x+3).2,The function f is de fined by f(x)=ax^2+bx+c.Given that f(0)=6,f(-1)=15 and f(1)=1,find the values of let f be the function that is given by f(x)=(ax+b)/(x^2-c) and that has the following properties:1) the graph of f is symmetric with respect to the y-axis2)lim x-> 2+ f(x)=+00（正无穷）3）f(1)=-2a)determine the values of a,b,cb)write an equatio given that (x^2m+n)(y^n+2)/4 and -3x^m+3(y^7) are like terms,find the values of m & n.四分之一乘以x的2m+n次方乘以y的n+2次方are like terms[这一句我也不太清楚],找出未知数m以及n.其实我也觉得比较难.希望大家能 线性代数相关证明 Suppose that,for a given matrix A,there is a nonzero vector x such that Ax=0.Show that there is also a nonzero vector y such that A*y=0 英语翻译1.Write an equation in slope-intercept form of the line having the given slope and y-intervept.1 .m:6/1 ,y-intercept：-4 2.m:2/3,(0,8)2.Write an equation in point-slope form of the line having the given slope that contains the given poin