2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point (1,5)
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- find tangent line to the curve y=3x/7-x at a point of (-3,2/7)Two circles of radius 4 are tangent to the graph of y2 = 4x at the point (1, 2). Find equations of these two circles.The slope of the tangent line to the curve y=2/x at the point (2,1) is: ___ The equation of this tangent line can be written in the form y=mx+b where: m is:__ b is:__ Could you please explain step by step how to solve for this.
- Find the tangent and normal line to the curve at the specified condition. 3x3 - x2 - 12x + 6 at the points where the curve crosses the line y = 2The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2is called a cardioid. Find the equation of the tangent line to this curve at the point (0, 1/2)Find the equation of a curve passing thorugh the point (0,2) and having slope x +ex-sinhx at any point (x,y)
- what is the equation of the tangent line to xy-3y^2=1 at the point (4,1) Express numbers in eaxact form. Use symbolic notation and fractions where neededUse Newton’s method with initial approximation x1 =-1to find x2 , the second approximation to the root of theequation x3+x+3=0. Explain how the methodworks by first graphing the function and its tangent lineat (-1,1) .plot the curve x^3+y^3=6xy together with the tangent to the curve at the point(4/3,8/3). Show all the work as well as identify the numpoint(n) of the implicit graph.