Question 1 1 pts Look at following graph which is graph of function y = f(x)....
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...
Question 17 5 pts Suppose f(x) = [Vť – 5t + 6.25 dt. For which positive value of x, does f'(x) equal O? 0 O 2.5 There is no such value of x. V2.5 O 1 Question 16 5 pts Use the Fundamental Theorem of Calculus to find the derivative, f'(x), of va t2 f(x) = S. dt. 4+ 3t4 1 x2 4 + 3x4 х 4 + 3x2 a 4 + 3x2 2 (4 + 3x2) -C 2+(4+ 3x2)...
Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe features of the integral of g(x) between -1 and x, that is, the area enclosed by the graph between-1 and any given value of x. 3 2 g(x) 1.51 05 0.5 1.5 This area is defined by the function for -IS1.5 Make a neat hand-drawn sketch of h(x) over the interval -1Kx31.5. a. (2 P Clearly label the...
6. (6 points) Let f(x) = 3x and let g(x) be the function shown in Figure 1. Determine So f()g'(x)dx. Figure 1: Graph of g() 1.5 + 1 9(0) -0. 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 -0.5 +
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
Could you label and explain how to get each term?
Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3
3. Find the equation of the tangent line to...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
Below is the graph of the function y(x) which is a solution to
the differential equation dy dx = f(x, y).
please help me, thanks so much
Below is the graph of the function y(I) which is a solution to the differential equation due = f(,y). The 2-values of the labeled points below are -3, -2, and 1.7 respectively. Suppose that for geometric reasons we also know the y-values of points A and B. I wish to use Euler's method...
[Question 1] Find and graph the domain of the function f(,y)-In-) Question 2] Graph a contour map of the function f(z, y)2s y 1 that contains four level curves. Make sure to find an equation for each level curve and label each one on the graph. IQuestion 3] The equation of the tangeat plane to the function z the equation: Using the form of the equatioa above, fiud the tangent plane to f(a,y)yat the point (2. ). Question 4] Find...
This Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (a) Find f(-14) and f(-6). (-6,6) 8 (12.4) 4 (-12.0) (TO) f(-14) = f(-6)= A (0-2) (8,0) 1-14.-4) (b) is f(4) positive or negative? -8 is Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (-6,6) 8 (12.4) 4 (c) Is f(-4)...