Find C so that the line y = 4x + 3 is tangent to the curve y = x^2 + C. Find C so that the line y = 4x + 3 is tangent to the curve y = x2 + C. A. 6 C. 7 B. 5 D. 4 Log in or register to post comments Solution Click here to… Jhun Vert Thu, 07/04/2024 - 13:08 Solution Click here to expand or collapse this section At the point of tangency: ${y'}_{\text{line}} = {y'}_{\text{parabola}}$ $4 = 2x$ $x = 2$ At x = 2 $y = 4(2) + 3 = 11$ At the point of tangency (2, 11): $11 = 2^2 + C$ $C = 7$ Log in or register to post comments
Solution Click here to… Jhun Vert Thu, 07/04/2024 - 13:08 Solution Click here to expand or collapse this section At the point of tangency: ${y'}_{\text{line}} = {y'}_{\text{parabola}}$ $4 = 2x$ $x = 2$ At x = 2 $y = 4(2) + 3 = 11$ At the point of tangency (2, 11): $11 = 2^2 + C$ $C = 7$ Log in or register to post comments
Solution Click here to…