(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.

Learn more about tangent here:

link

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|