For f(x)=(1/2)x^2-3, do the following. a) find the slope Msec of the secant line containing the points P=(4,f(4)) and Q=4+h, f(4+h).
Msec=
b) use the result from (a) to compute the following table.
h = -0.5, -0.1, -0.001, 0.001, 0.1, 0.5
Msec=
c) Investigate the limit of the slope of the secant line found in (a) as h-->0
lim Msec=
d) what is the slope of the tangent line to the graph of graph of f at P=(4, 4f(4))?

pi x^2

step-by-step explanation:

pi times x squared

96 39 cause 135 -96=39 im smart (i used a calculater)

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!