(a) find the slope m of the tangent to the curve y = 5 + 5x2 − 2x3 at the point where x = a. m = (b) find equations of the tangent lines at the points (1, 8) and (2, 9). y(x) = (at the point (1, 8)) y(x) = (at the point (2, 9))

The slope of the tangent will be "". The equation at point (1, 8) is "" and at point (2,9) is "".

Given equation is:

(a)

The slope of the tangent to the curve point where is:

→

→              

(b)

The equation of tangent at point (1,8) will be:

→ Slope,

→

and,

The equation of tangent at point (2,9) will be:

→ Slope,

→

Thus the above answer is right.

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the answer is d. 75%

yes

step-by-step explanation: