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- There are two tangent lines from the point (0, 1) to the circle x2 + ( y + 1)2 = 1. Find equations of these two lines by using the fact that each tangent line intersects the circle at exactly one point.How many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)? At which points do these tangent lines touch the curve?Find equations of the tangent line and normal line to the curve y = x√x at the point (4, 8). Illustrate by graphing the curve and these lines. (Use ‘desmos’ graphing calculator).
- 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.How many tangent lines to the curve y= x /(x+1) passthrough the point ( 1,2) ? At which points do these tangent lines touch the curve?Find equations of the tangent line and normal line to the curve y= x sqrt x at the point (1,1) . Illustrate by graphing the curve and these lines.
- 2) We only know the coordinate of one point on that tangent line. So we can’t find its slope easily. Draw the secant line joining the points on the graph where x = 1 and x = 2. Find the slope of that secant line.How many tangent lines to the curve y = x / (x + 5) pass through the point (1, 2)? At which points do these tangent lines touch the curve? Smaller x-value (x,y): Larger x-value (x,y):The line that goes through the point (0,0) so that the tangent of the angle it make with the x-axis is 2
- A curve is given with x cos(pi x y) = x + y + 1. Find the tangent line and the perpendicular line to the curve in the point (0, -1). Graphical tools are not allowed to solve the task.Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine the equation of the tangent at that point.Find equations of the tangent line and normal line to the curve at the given point. y = 6 cos x , ( pie 3,3)