Can someone please help explain this problem Find the critical numbers of f(x) . x.a- 0.3....
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of all real numbers. (a) The value of limx→ ∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (b) The value of limx→ −∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (c) There are two x-intercepts; list these in increasing order: s= , t= . (d) The intercepts in part (c) divide...
Find the critical numbers of f(x) = x*(x-2). Select one: a. None of these 12 b. 0,3, 7 7 c. 0,3, 8 O 12 d. 0, 2, 2, 11 7. e. 0,2, 8 8 f. 0,2,
(10 points) Find the critical numbers of the function f(x) = (x - 3) 323/2 (15 points) Find the absolute maximum and absolute minimum values of f(x) = interval (0,3) 2-1+1 on the
someone please help me solve this question 5(a,b,c). thank you!!! 5.) Consider the function f(x) = 42 a.) Find the critical point/s of f(x) and classify each critical point if possible. b.) Sketch a graph of the function between x = 0 and x = 3 c.) Find an integral that will calculate the volume of the solid created when you rotate the curve from part (b) around the y-axis. Leave your answer in terms of a definite integral and...
. Let F(a,y)-(3e +secztan,e -90 (a) Show that F is a conservative. (b) Find a function f (potential function) show that F (c) Use above result to evaluate Jc F. V. dr, where C is a smooth curve that begin at the point (2, 1 ) and ends at (0,3). (cos t, sin t) fromtto t particle that moves along the curve. (Write the value of work done without evaluating (d) Find the work done by the force field F(r,...
(1 point) Find the critical numbers of the function f(x) = 2x3 + 6x2 - 48.. Answer (separate by commas): <= (1 point) List the critical numbers of the following function separating the values by commas. f(x) = 6x2 + 4 List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need f(x) = 2x3 + 2x2 + 20
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
3. The derivative of a function f(x) is given. Find the critical numbers of f(2) and classify each critical point as a relative maximum, a relative minimum, or neither. f (x) = x(2-x) 22+x+1
2. Given f(x) = V23 - 100x + 1, find the equation of the line tangent to f-'(x) at the point (23, 12). No approximations. 3. Consider the graph of all points (x,y) that satisfy sin(y) - 4cos(x) = In (x² + y2). do b dy dx in terms of both x and y. Using implicit differentiation, solve for
(5 points) Let f(x) = 5x2e-3x (a) Find all critical numbers of f. (b) Find the x-coordinates of the inflection points on the graph of f. (c) Fill out the chart below and roughly sketch the graph of y = xée 2* Interval Test value x Sign of f'(x) Sign of F"(x) Concavity Rough Graph