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Math 151, Spring 2019 Workshop9 0, 1,23,4 Problem 1 derivative of fe)a e)e--3t-0 (a) The derivati...
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all ...
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 -...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
19-20-21 19. [5pts.Each] Find the derivative of the functions: sin x a. y = b. g(x)=e*...
19-20-21
19. [5pts.Each] Find the derivative of the functions: sin x a. y = b. g(x)=e* cosh(x²) 20. [5pts.] ALSO Q3 f(x)= x - cos x, 0<x< 277. Find the intervals of increasing & decreasing and intervals of concave up & concave down. Do not graph but find all relative/local maximum & minimum and inflection points if any. 21. [5pts.] Find the dimension of the rectangle of the largest area that can be inscribed in a circle of radius r....
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5)...
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
Use the first derivative test to determine the location of each local extremum and the value...
Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum. - 2x f(x) = x 6 Identify the location and function value of the maximum of the function, if any. Select the correct answer below and, if necessary, fill in any answer boxes within your choice. O A. The function has a local maximum of at x = (Use a comma to separate answers as needed. Type exact...
Math assignment about extreme of function and mean value theorem due tomorrow
The math assignment was due tomorrow so I need the answers with steps as soon as possible and I need it around today so please hurry1. (15 marks) Find the domain of \(f(x)=2 x-\frac{1}{x^{2}}\) and find the intervals on which the function is increasing or decreasing.2. (15 marks) For \(f(x)=\frac{x^{3}}{x+1}\), find the local maximum and minimum.3. (15 marks) Find the absolute maximum and minimum of the function \(f(x)=\frac{x}{1+x^{2}}\) on the closed interval \([-1,2]\).4. (20 marks) Sketch the graph of the...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Interval...
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave up/concave down d) The second derivative test for local maxima and minima
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave...
Sketch the curve on paper and submit to Moodle. Show sign charts for the first and...
Sketch the curve on paper and submit to Moodle. Show sign charts for the first and second derivative. Label intercepts, local maximum points, local minimum points, and inflection points. List intervals where the function is increasing, decreasing, concave up, and concave down. y = x(x − 4)3 , Use y' = 4(x − 4)2(x − 1) and y'' = 12(x − 4)(x − 2)
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
19-20-21
19. [5pts.Each] Find the derivative of the functions: sin x a. y = b. g(x)=e* cosh(x²) 20. [5pts.] ALSO Q3 f(x)= x - cos x, 0<x< 277. Find the intervals of increasing & decreasing and intervals of concave up & concave down. Do not graph but find all relative/local maximum & minimum and inflection points if any. 21. [5pts.] Find the dimension of the rectangle of the largest area that can be inscribed in a circle of radius r....
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum. - 2x f(x) = x 6 Identify the location and function value of the maximum of the function, if any. Select the correct answer below and, if necessary, fill in any answer boxes within your choice. O A. The function has a local maximum of at x = (Use a comma to separate answers as needed. Type exact...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave up/concave down d) The second derivative test for local maxima and minima
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave...
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