Z00050. Do the following for the function g(x) = 10x^2 + 5x (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1 and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window.

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Z00050. Do the following for the function g(x) = 10x2 + 5x

(a) Express the slope of the secant line in terms of x and h.

(b) Find msec for h = 0.5, 0.1 and 0.01 at x = 1. What value does msec approach as h approaches 0?

(c) Find the equation for the secant line at x = 1 with h = 0.01.

(d) Graph g and the secant line found in part (c) on the same viewing window.

Solution :

Do the following for the function g(x) = 10x^2 + 5x (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1 and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window.
Do the following for the function g(x) = 10x^2 + 5x (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1 and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window.
Do the following for the function g(x) = 10x^2 + 5x (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1 and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window.
Do the following for the function g(x) = 10x^2 + 5x (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1 and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window.
Do the following for the function g(x) = 10x^2 + 5x (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1 and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window.
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