Homework Answers
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) -...
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) - 101 y = f(x) 2. Consider the functions gtx)=(13)" and h(x) =--() +4 12.5,1.25, 1.5 points) a) The points given below (in the first column) belong to g(x)= - Perform two b) Use the point found in part a) to sketch a graph of y=h(x). Include the horizontal asymptote as a dashed line. Approximate point placement where necessary. transformations (and show how the points...
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...
A table for f(x) is shown below -2 -1 0 1 2 f(x) -1 -3 3...
A table for f(x) is shown below -2 -1 0 1 2 f(x) -1 -3 3 4 2 A table for g() is shown below x -3 -2 -1 0 1 g(x) -1 -3 3 4 2 Based on the table, 9() - f(x+1) f(x - 1) f(x) +1 f(x) - 1 om A table for h(x) is shown below х -2 -1 0 1 2 h(x) -2 0 4 5 3 Based on the table, h(x) = f(x +...
1. Using the graph, find the following: a. f(-3) b. (f.(2) c. x where f(x) =...
1. Using the graph, find the following: a. f(-3) b. (f.(2) c. x where f(x) = 3 2. What is the domain of f(x) = V2x - 7? 3. If h(x) (4x-3)2 write f(x) and g(x) so that h(x) = (fºg)(x) 5
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b....
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
need help on these 2 ? For the function below, determine each of the following 4)--3-12-13...
need help on these 2 ?
For the function below, determine each of the following 4)--3-12-13 (a) Find the critical values of g(x). (Enter your answers as a comma-separated st.) (b) Find the intervals on which ) is increasing and the intervals on which () is decreasing. Enter your answers using interval relative treme on the graph of (c) Find the x-coordinates of a-separated list. Han ). (Ente er does not exist, enter ONE) Relative Mama Relative Mining =11.81 points...
Consider the following. f(x) = - *** + 3x3- 1/3 - 3x2 + 8 Find f'(x)....
Consider the following. f(x) = - *** + 3x3- 1/3 - 3x2 + 8 Find f'(x). f'(x) = Find F"(x). f"(x) = Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) X = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using interval notation.) Locate the points of inflection. (If an answer...
2. Graph the functions f(x)x(x 1)(x-2) ..(x- k) for k- 1,2,..,10. (These are examples of the poly...
2. Graph the functions f(x)x(x 1)(x-2) ..(x- k) for k- 1,2,..,10. (These are examples of the polynomials occurring in the error formula for polynomial interpolation.) We want to produce an evenly spaced table of values for the function f(x) sin(x) for x E [O,T/2] such that, with cubic interpolation, we can give the values of the function at any point in the interval with an error less than 5 10-12. That means finding a number n such that with h-/2n...
Consider the function below. h(x) = (x + 1)3 - 3x - 2 (a) Find the...
Consider the function below. h(x) = (x + 1)3 - 3x - 2 (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (c) Find the...
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) - 101 y = f(x) 2. Consider the functions gtx)=(13)" and h(x) =--() +4 12.5,1.25, 1.5 points) a) The points given below (in the first column) belong to g(x)= - Perform two b) Use the point found in part a) to sketch a graph of y=h(x). Include the horizontal asymptote as a dashed line. Approximate point placement where necessary. transformations (and show how the points...
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...
A table for f(x) is shown below -2 -1 0 1 2 f(x) -1 -3 3 4 2 A table for g() is shown below x -3 -2 -1 0 1 g(x) -1 -3 3 4 2 Based on the table, 9() - f(x+1) f(x - 1) f(x) +1 f(x) - 1 om A table for h(x) is shown below х -2 -1 0 1 2 h(x) -2 0 4 5 3 Based on the table, h(x) = f(x +...
1. Using the graph, find the following: a. f(-3) b. (f.(2) c. x where f(x) = 3 2. What is the domain of f(x) = V2x - 7? 3. If h(x) (4x-3)2 write f(x) and g(x) so that h(x) = (fºg)(x) 5
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
need help on these 2 ?
For the function below, determine each of the following 4)--3-12-13 (a) Find the critical values of g(x). (Enter your answers as a comma-separated st.) (b) Find the intervals on which ) is increasing and the intervals on which () is decreasing. Enter your answers using interval relative treme on the graph of (c) Find the x-coordinates of a-separated list. Han ). (Ente er does not exist, enter ONE) Relative Mama Relative Mining =11.81 points...
Consider the following. f(x) = - *** + 3x3- 1/3 - 3x2 + 8 Find f'(x). f'(x) = Find F"(x). f"(x) = Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) X = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using interval notation.) Locate the points of inflection. (If an answer...
2. Graph the functions f(x)x(x 1)(x-2) ..(x- k) for k- 1,2,..,10. (These are examples of the polynomials occurring in the error formula for polynomial interpolation.) We want to produce an evenly spaced table of values for the function f(x) sin(x) for x E [O,T/2] such that, with cubic interpolation, we can give the values of the function at any point in the interval with an error less than 5 10-12. That means finding a number n such that with h-/2n...
Consider the function below. h(x) = (x + 1)3 - 3x - 2 (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (c) Find the...
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