Answer:
S: (½, -15)
Step-by-step explanation:
Slope of the tangent: 4
Coordinates of R: (2,y)
y = 3(2)² - 8(2) - 5 = -9
Equation of tangent:
y = 4x + c
-9 = 4(2) + c
c = -17
y = 4x - 17
Point of intersection of tangent and the other curve:
4x - 17 = 4x - (1/x³) - 9
4x⁴ - 17x³ = 4x⁴ - 1 - 9x³
-8x³ = -1
x³ = ⅛
x = ½
y = 4(½) - 17
y = -15
S: (½, -15)
