Find the point(s) of inflection of the graph of f(x) = cos o 2.0. A10, 6)...
Find the inflection point(s) of the function f (x) = 2:03 + 15x2 + 24x O Inflection point at ( -,5). No inflection points. Inflection points at (-1,-11) and (-4,16). Inflection point at (0,0).
3. Shape of a Graph Below are the graphs of the first and second derivatives of a function f. Estimate the coordinate of the point of inflection and reconstruct the graph of f. You do not need to draw an exact graph but you need to reflect the following features: absolute and local extrema, intervals of monotonicity (increasing/decreasing), concavity, point of inflection. Briefly explain how you obtained your answer. 0.0 0.5 5.0 30 35 40 4550 4.5 -0.5 1.0 3.5...
Find f'(x) and find the equation of the line tangent to the graph off at x = 1. f(x) = (2+4x)(5 - 4x) f'(x)=0 y= Find the x and y coordinates of all inflection points. f(x) = x3 + 18x? What is/are the inflection point(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.)...
The DERIVATIVE F"(x) of a function f(x) is given by X f'(x)= 1 + x + 2x3 What is the x-coordinate of the inflection point of the graph of f(x)? O A. X = 0.393 OB. X= -1.607 O c. X=0 OD. The graph off has no inflection point. O E. X = 0.807
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer y = x + 1 intercept (x, y) = -1.0 relative minimum (x, y) = ( I relative maximum (x, y) = points of inflection (x, y) = (smallest x-value) (x, y) = (x, y) = (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) Use a graphing utility to verify...
Find the inflection points. Find the interval on which f is concave up. Find the interval on which f is concave down. Step 1 We have f'(x) = 4 cos(x) – 4 sin(x), so f"(x) = -4 cos (x) – 4 sin (x) - 4 sin(x) – 4 cos(x) which equals 0 when tan(x) = -1 Hence, in the Interval o <x< 211, f'(x) = 0 77 when X = 371 4 7 л 4 and x = Step 2...
Question 10 * 1 point Find the slope of the tangent to the graph of f(x)=x² + 3x² + x at its point of inflection. Oo oo
Find the following values Answer choices for C: Point of Inflection Local Max Local Min Zero Answer choices for D 1. is continuous is not continuous does not exist 5. POI local max local min zero The graph of of f(t) is given below. f(t) is a semicircle for 4 < t < 6. Let g(x) = { $(t)dt a. Find the following values. 1. g( - 1) = 2. g(1) = 3. g(4) = 4. 9(6) = b. Find...
Match the graphs with their parametric equations. II y 2.0 kor 1.51 0.5 1.01 -1.0 -0.5 0.5 1.0 0.5 -0.51 -1.0 -0.5 0.5 1.0 ho IV 8 III у 0.21 6 0.1 х 40.2 -0.1 0.1 0.2 -0.1 -0.2 VI v у 11.06 у 0 0.B os 0.6 0.4 |-ho -0.5 0.5 102 -0.5 0.5 1.0 1.5 2.0 2.5 3.0 (a) x = 44 - t + 1, y = 42 Х IV = 42 – 2t, y = VE...
S o mo (StS 4. (20 pts) Analyze the graph of f(x) = 2x + 3x2 - 12x +1. fo.6x246-12 a. Use technology to find the x-and y-intercepts. (Round to two decimal places.) x Int (-3.34,0), (0.09.0) (1.76, u) yint 10.1) b. Find all the stationary points. If none, write NONE. +x) - 6x2 +6 Y-12 0.6*26* 2 8 1 -2 C. Use the first derivative test to determine if the stationary points are relative maxima, minima or neither. f(-3)...