Question

For the following exercises, points P(1, 2) and Q(x, y) are on the graph of the function f(x) = x^2 + 1. 1. [T] Complete the following table with the appropriate values: y-coordinate of Q, the point Q(x, y), and the slope of the secant line passing through points P and Q. Round your answer to eight significant digits. x | y | Q(x, y) | m_sec 1.1 | a. | e. | i. 1.01 | b. | f. | j. 1.001 | c. | g. | k. 1.0001 | d. | h. | l. 2. Use the values in the right column of the table in the preceding exercise to guess the value of the slope of the line tangent to f at x = 1. 3. Use the value in the preceding exercise to find the equation of the tangent line at point P. Graph f(x) and the tangent line. For the following exercises, points P(1, 1) and Q(x, y) are on the graph of the function f(x) = x^3.

          For the following exercises, points P(1, 2) and Q(x, y)
are on the graph of the function f(x) = x^2 + 1.
1. [T] Complete the following table with the appropriate
values: y-coordinate of Q, the point Q(x, y), and the slope
of the secant line passing through points P and Q. Round
your answer to eight significant digits.
x | y | Q(x, y) | m_sec
1.1 | a. | e. | i.
1.01 | b. | f. | j.
1.001 | c. | g. | k.
1.0001 | d. | h. | l.
2. Use the values in the right column of the table in the
preceding exercise to guess the value of the slope of the line
tangent to f at x = 1.
3. Use the value in the preceding exercise to find the
equation of the tangent line at point P. Graph f(x) and the
tangent line.
For the following exercises, points P(1, 1) and Q(x, y)
are on the graph of the function f(x) = x^3.

For the following exercises, points P(1, 2) and Q(x, y)
are on the graph of the function f(x) = x^2 + 1.
1. [T] Complete the following table with the appropriate
values: y-coordinate of Q, the point Q(x, y), and the slope
of the secant line passing through points P and Q. Round
your answer to eight significant digits.
x | y | Q(x, y) | msec
1.1 | a. | e. | i.
1.01 | b. | f. | j.
1.001 | c. | g. | k.
1.0001 | d. | h. | l.
2. Use the values in the right column of the table in the
preceding exercise to guess the value of the slope of the line
tangent to f at x = 1.
3. Use the value in the preceding exercise to find the
equation of the tangent line at point P. Graph f(x) and the
tangent line.
For the following exercises, points P(1, 1) and Q(x, y)
are on the graph of the function f(x) = x^3.

Added by Cynthia F.

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