Find the slope of the secant lines over the specified intervals for the function f(x) =...
Consider the function x) = 6x + x2 and the point P(-2,-8) on the graph of f (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, -2.5, -1.5 -10 -8 68 10 -10 -8 2 46 810 -2 -8 8 10 8 10 -10-8 -10-8 -8 (b) Find the slope of each secant line (line passing through Q(-3, f(x))) (line passing through Q(-2.5, f(x))) (line passing through Q(-1.5, f(x))) (c) Use...
Find the indicated quantities for f(x) = 5x². (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h#0 (B) The slope of the graph at (1,f(1)) (C) The equation of the tangent line at (1,f(1)) (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h #0, is (B) The slope of the graph at (1,f(1)) is . (Type an integer or a simplified fraction.)...
For the function g(x)= 10x² + 9x Express the slope of the secant line in terms of x and h. Find m e for h=0.5, 0.1, and 0.01 at x 1. What value does m approach as h approaches 0? (c) Find the equation for the secant line at x 1 with h -0.01. Graph g and the secant line found in part (c) on the same viewing window Find the average rate of change of f(x) x - 2x...
2:45 webassign.net ASSnts A LCal 0 Consider the function f(x) and the point P(4,2) on the graph f (a) Graph fand the secant lines passing through the point P(4, 2) and Q(x, fx)) for x-values of 1, 6, and 8 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, f(x)) (line passing through Q(6, fx)) (line passing through Q(8, f(x)) (c) Use the results of part (b) to estimate the...
For the following function, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at the indicated point. f(x) = 4 cos x at x = Complete the table below. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) Interval Slope of secant line
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...
7 a. For f(x)= 1 find an equation for the secant line through the points where x = 5 and x = 7 х 7 x b. For f(x) = find an equation for the line tangent to the curve when X=5. a. The equation for the secant line is y = b. The equation for the tangent line is y =
3.4.23 7 a. For f(x)= find an equation for the secant line through the points where x=5 and x = 7. b. For f(x) = find an equation for the line tangent to the curve when x = 5. a. The equation for the secant line is y=. Enter your answer in the answer box and then click Check Answer
1. For the function f(x) e1+3x and the point P given by x 5 answer the following questions: For the points Q given by the following values of x, compute the slope of the secant line through the points P and Q accurate to at least 8 decimal places. ii.51 l.501 iv. .5001 v. .50001 a. i. 1 vi. 0 vii. .49 vii. .499 ix. .4999 x. .49999 Use the information in part a to estimate the slope of the...
2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from x = 1 to x = 3 b. Find the equation of the secant line containing the points (1.f (1)) and (3,f(3)) c. Find the derivative of the function at the point x = 3 and determine the equation of the tangent line at that point.