2. (Section 4.2) Given f(x)-x on the interval [0,4], complete the following (a) Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. b) Find the number c that satisfies the conclusion of the meat value theorem on the given interval. (c) Sketch a neat, clearly labeled graph with the function, the secant line that goes through the end points, and the tangent line at (c./(c)) all on the same coordinate grid (d) Are...
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = In(x), (1,91 Yes, it does not matter if is continuous or differentiable, every function satisfies the Mean Value Theorem. Yes, f is continuous on [1, 9] and differentiable on (1,9). No, f is not continuous on 1, 9). No, f is continuous on [1, 9] but not differentiable on (1,9). There is not enough information to verify if this function satisfies the Mean...
My Notes 5. -'2 points SCalcET8 1.2.505.XP. (a) Graph the function fix) = x + 5/x and the secant line that passes through the points (1·6) and (10. 1 0.5) In the viewing rectangle [D, 1 2jby [D, 1 2]. 12 12 10 10 12 12 12 12 10 10 1 12 (bFind the numher c that satisfies the concluslon of the Man ale Theorem for this function fand the Interva [, 1D Need Help Read ItWatch It Talk to...
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...
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...
I need answers 11, 12, 13, 14, 15 Question 11 Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? x f(x)= on the interval [1,10]. If it satisfies the hypotheses, X +5 find all numbers c that satisfy the conclusion of the Mean Value Theorem. Question 12 Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers cthat satisfy the conclusion of Rolle's Theorem. f(x)...
The function g is defined by g(x) = 3x2 +7. Find g(5x). 8 (5x) = 0 xo 5 ?
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.)...
I got as far as f (x+h)-f (x)/h... pls help 3. Let f(x) 3x2+2x -4. a. Is f even, odd or neither? Explain how you know. b. Find and simplify the difference quotient for fx). rite a function in slope-intercept a. Slope-4, passing through (1,4) b. Passing through (2,3) and (-1,5) c. Passing through (23) and perpendicular to the line whose equation is 3x-4y + 10-0. d. Passing through (3,4) and parallel to the line whose equation is x-1. 4....
help Spt 7. Verify that the function f(x) = Vr+1 satisfies the hypotheses of the Mean Value Theorem on the interval (0,3). Then find all numbers c that satisfy the conclusion of the Mean Value Theorem. pt 8. Find the absolute maximum and absolute minimum values of the function f(x)- In(4r2 +2r+1) on the interval -1,0). Spt 7. Verify that the function f(x) = Vr+1 satisfies the hypotheses of the Mean Value Theorem on the interval (0,3). Then find all...