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- Determine a,b,c and d so that the curve y=ax^3 + bx^2 + cx + d will have a critical point at (0,-2) and also tangent to the line 3x+y+3=0 at (-1,0)If the curve y = ax^4 + bx^3 + cx^2 + dx + e pass through the point (-1, 8), be tangent to the line y = 11x - 5 at (1,6) and have a critical point at (0,3), what is a, b, d and e?24))Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?
- Find the tangent and normal line to the curve at the specified condition. y = x ( 4x - 1 )2 at (1/2 , 1/2)Find the tangent and normal line to the curve at the specified condition. 12x2 - 20y2 = 55 parallel to the line 6x - 4y = 1FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.1. XY3 = 8 at ( 1, 2 )
- 2) The y = Inx curve is rotated around the x-axis in the range 0Find the slope of the curve y=x2−3x−4 at the point P(2,−6) by finding the limiting value of the slope of the secant lines through point P.Find the equation of the tangent line(s) to the curve y = 1 3 x3 − 5 2 x2 + 6x − 11 6 at its points of intersection with the line 2x − y = 0. Also, fifind the normal line(s) corresponding to these points
- 1)Determine the equation of the tangent line to the intersection of the surfaces x²-y=0 and y+z²=16 at the point (4,16,0).Suppose that the total cost of manufacturing x units of a certain commodity isC (x) = 2?2 + 6? + 12. Use differentials to approximate the cost of producing the 21st unit.Compare this estimate with the cost of actually producing the 21st unitThe slope of the tangent line to the curve y^2 = 5x – 1 at P(1, 2).