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- YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through the point (1,2).Consider the following curve y = 2x^2-9x+1 a. Find the slope m of the tangent line at the point(6,19) b.Find an equation of the tangent line to the curve at the point (6,19)The slope of the tangent line to the curve y=2x^3 at the point (-4,-128) is ____. The equation of this tangent line can be written in y=mx+b where m=___ and b=___
- Find the equation of the tangent line to the curve �=8sin� at the point (�6,4).The equation of this tangent line can be written in the form �=��+� where�=Find the equation of the tangent line to the curve at the given point . Sketch the curve and the tangent line together y=2x-^3,(-2,16)A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of its flight. When x = 2, the duck takes a hit and thereafter its flight follows the trajectory of a tangent line. What is the coordinate when x=4.
- Plot the line y=1-3x and the curve y=34.6-x^2 (all under a square root). Find their point of intersection. Then find the acute angle between the tangent lines at this point of intersection. Look at the plot to determine if you need to add or substract their inclinationsFind an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)use a graphing calculator to find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y^3-xy-x^3= -3, where x=2 give the equation of the line that is tangent to the the curve at x=2
- Find an equation for the tangent to the curve at the given point. y = (x^2)+2; (2,6)write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.Find the equation of the line tangent to the given curve with the given slope. y=x^2-7x, with tangent line of slope 1 Please show all steps and the graph