Question

Find the values of a and b if the line 2x +y =b is a tangent to the parabola y = ax^2 when x = 2.
Please answer this question fast

Answer 1

Answer:

Step-by-step explanation:

Step 1: at x=2, the slope of tangent = diffential of parabola at x=2

Step 2:  Y=mX+C   =>     y=b-2x where slope, m = -2

Step 3: diiff(Y=ax^2) = 2ax

Step 4: at x=2, -2 = 2a*2, a= -1/2

Step 5: 2*2+(-1/2)2^2 = b , => b = 2