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I need these questions all solved please. (11) Let f(x) x3 - 1 and g(x) =...
I need these questions all solved please.
(11) Let f(x) x3 - 1 and g(x) = 25 sin 3r (a) What is the range of g(f(x))? Justify your answer (b) If h(r) f(g(x)) compute h'(x) (c) If t(x) ef(r) compute t'(x). (d) Obtain f'() from first principles 6 marks 6 marks 6 marks 6 marks 3. (e) Obtain the equation of the line tangent to the curve y [6 marks f(x) at (12) In this question, f(x)= r+2)2 2r (a)...
Find f'(x) and find the equation of the line tangent to the graph off at x...
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.)...
Show ALL work to receive rating. Thanks! 1. Let f(x) = -4x^3+6x^2 a) Where is f(x)...
Show ALL work to receive rating. Thanks! 1. Let f(x) = -4x^3+6x^2 a) Where is f(x) increasing/decreasing? Make a sign chart. b) Classify the critical points as local max, local min, or neither. c) Where is f(x) concave up/concave down? Does it have any points of inflection? d) Use the information above to sketch the curve. Note that f(1/2) = 1. Be sure your graph includes the x and y intercepts if they exist.
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where th...
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and...
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of...
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of f, if it has any. 2. Find vertical and horizontal asymptote(s) of f, if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema off, if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any Page 2 5. Sketch the graph of f, label all important points from...
Let f(x) = z² and g(x) = (1 - 5)² + 10. There is one line...
Let f(x) = z² and g(x) = (1 - 5)² + 10. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. ye9bx)/ y=f/ Find the equation of the line. y= On a separate piece of paper, sketch the graph of the parabola y = 2? + 6. On the same graph, plot the point(0, – 3). Note that there are two tangent lines of y =...
show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f...
show work
2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
show work 2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing...
show work
2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and...
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...
(5 points) Let f(x) = 5x2e-3x (a) Find all critical numbers of f. (b) Find the...
(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
I need these questions all solved please.
(11) Let f(x) x3 - 1 and g(x) = 25 sin 3r (a) What is the range of g(f(x))? Justify your answer (b) If h(r) f(g(x)) compute h'(x) (c) If t(x) ef(r) compute t'(x). (d) Obtain f'() from first principles 6 marks 6 marks 6 marks 6 marks 3. (e) Obtain the equation of the line tangent to the curve y [6 marks f(x) at (12) In this question, f(x)= r+2)2 2r (a)...
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.)...
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and...
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of f, if it has any. 2. Find vertical and horizontal asymptote(s) of f, if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema off, if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any Page 2 5. Sketch the graph of f, label all important points from...
Let f(x) = z² and g(x) = (1 - 5)² + 10. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. ye9bx)/ y=f/ Find the equation of the line. y= On a separate piece of paper, sketch the graph of the parabola y = 2? + 6. On the same graph, plot the point(0, – 3). Note that there are two tangent lines of y =...
show work
2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
show work
2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...
(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
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