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Use the given graph to estimate the value of each derivative y) 1 0 (a) ro)...
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Exam 2 Revie 11. (-/0.86 points) DETAILS SCALC7 2.2.507.XP. Use the given graph to estimate the value of each derivative. y=f(x) 0 (a) f(0) (b) (1) (c) 12) (d) (3) (e) (4) (f) (5) Need Help? Talk to Tuber
(1 point) Use the contour diagram for f(x, y) shown below to estimate the directional derivative off in the direction v at the point P. (a) At the point P = (2, 2) in the direction ✓ = 7, the directional derivative is approximately O‘ot 16.0 18.0 12.0 14.0 2.0 (b) At the point P = (3, 2) in the direction ✓ = -1, the directional derivative is approximately 8.0 (c) At the point P = (4,1) in the direction...
The graph of the updating function of each DDS is given. Estimate the equilibrium value(s) of each system and cobweb to determine the stability of each equilibrium. #3 b) 10 r 10 8 0 0 Initial value Initial value Equilibrium Stability: Equilibrium #1. Stability:_ Equilibrium #2 Stability: d) c) 10 c 10 Initial value Initial value Equilibrium_ Stability:_ Equilibrium Stability:
The graph of the updating function of each DDS is given. Estimate the equilibrium value(s) of each system and cobweb...
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1. Find the derivative of each of the following unctions: (e) w- 4u/2 (f) w=4u1/4 12 (c) y7x (b) y 63 2, Find the following: 0 (b) -9x1/3 (-oub du 3. Find f(1) and f(2) from the following functions: (C) f(x)--5x-2 (d) f(x)- ^*4/3 (a) y- f(x) -18x 4. Graph a function f(x) that gives rise to the derivative function f'(x) 0. Then graph a function 9(x) characterized by g(xo)0
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2 +6 Second derivative, Forward Difference Approximation, o(h2)- Second derivative, Central Difference Approximation, O(h2) Which of the two methods is closer to the true value? (Forward/Central 12.5 points Differential Equation Estimate the second derivative of the following function using stencils for the FORWARD an derivatives for an order...
A function and its graph are given. Use the second derivative to determine each of the following. Check your results against the graph shown. f(x) = x3 - 6x2 + 5x + 6 f(x -6 -4 -2 LLLLL X 416 Determine the interval on which the function is concave up. (Enter your answer using interval notation.) Determine the interval on which the function is concave down. (Enter your answer using interval notation.) Locate the point of inflection. (If an answer...
2. (4 Points) Use the accompanying graph of y = f'(x) (Careful, this is the graph of the derivative of f) to estimate the answer to the following questions, a) For what value(s) of x does y = f(x) have a local maximum? A b) on what interval(s) y = f(x) decreasing? 10.81 by 1-3, 3)
Use first derivative analysis (no calculators) to graph each function. (By first derivative analysis we mean the following as demonstrated in class: find critical values indicate whether the first derivative is 0 (producing a horizontal tangent) or undefined (producing sharp corner or vertical tangent) at each critical value o o o show tables of intervals where f increases or decreases and thus whether critical values correspond to a local maximum, local minimum, or neither). x) (4-x2)
Use first derivative analysis...