8. suppose the curve y = x4 + ax3 + bx2 + cx + d has a tangent line when x = 0 with equation y = 2x + 1, and a tangent line when x = 1 with equation y= 2 – 3x. find the values of a, b, c and d.

a=1, b=-6, c=2, d=1

Step-by-step explanation:

You are given the function

Find the derivative:

The curve has a tangent line when x = 0 with equation y = 2x + 1, so

Hence,

The curve has a tangent line when x = 1 with equation y = -3x + 2, so

So,

From the second equation, a=-5-b, substitute it into the first one:

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%