In the video "An Introduction to Limits", two functions were discussed, f ( x ) and...
In the video "An Introduction to Limits", two functions were discussed, f ( x ) and g ( x ) where limits existed as you approached specific x-values however the x-value was not in the domain or had a y-value that was different than the limit.
Create or find your own, unique function h(x). Discuss the limitations of your function as x approaches some particular value, let's say a, where the limit exists but the y-value does not or is different than the limit.
Include with your example an explanation of how you determined the limit using a numerical (spreadsheet or table of values) perspective, the value of h(a), as well as any comments of frustrations you encountered along the way.
Homework Answers
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In the video "An Introduction to Limits", two functions were
discussed, f ( x ) and...
How would you limit the domain to make this function one to one? f(x) = x4...
How would you limit the domain to make this function one to one? f(x) = x4 Your answer will be the point to which you would limit the function. So if you would restrict the domain to either all x values greater than or equal to two or all x values less than or equal to two, you would simply enter 2.
please do problems a-c, thank you 1.7 Preview Activity: Limits, Continuity, and Differentiability A function f...
please do problems a-c, thank you
1.7 Preview Activity: Limits, Continuity, and Differentiability A function f defined on the interval 4 < x < 4 is given by the graph shown here. Use the graph to answer the questions. a. For each of the values a = -4,-3, -2,-1,0, 1, 2, 3, determine whether or not limf(x) exists. If the function has a limit Lat a given point, state the value of the limit using the notation limf(x) L. If...
(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 +...
(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y2 – 4x – 5 on the domain x2 + y2 < 100. The maximum value of f(x, y) is: List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). The minimum value of f(x,y) is: List points where the function...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function....
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
Find fY(y) from the domain: Consider the domain D={(x,y): 0 < x < 1,-x < y < x} and let fix, y)=cx,where c is a constant. 1.1 (4.6 marks) To start with, we wish you to determine c such th...
Find fY(y) from the domain:
Consider the domain D={(x,y): 0 < x < 1,-x < y < x} and let fix, y)=cx,where c is a constant. 1.1 (4.6 marks) To start with, we wish you to determine c such that f(x, y) a joint density of random vector (X, Y) that takes values on D. order to do that, you must first calculate fix, y) dA where dA is an area element of D, and then deduce c Hence you...
question 9 from A to F 9. (5 points) Please answer the following questions about the...
question 9 from A to F
9. (5 points) Please answer the following questions about the function fr) - 21² f(x) = 2.9 al num- increas- for the Instructions: . If you are asked for a function, enter a function. - If you are asked to find X- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. . If you are asked to find an interval or union...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
python the polynomial equation is Ax^3+Bx^2+Cx+D b) Evaluating a polynomial derivative numerically For a function f(x),...
python
the
polynomial equation is Ax^3+Bx^2+Cx+D
b) Evaluating a polynomial derivative numerically For a function f(x), the derivative of the function at a value x can be found by evaluating f(x+2)-(*) and finding the limit as a gets closer and closer to 0. Using the same polynomial as the user entered in part (a), and for the same value of x as entered in part (a), compute the limit numerically. That is, start with an estimate by evaluating** 72 using...
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values...
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values for sin-1(x) from your program to those given by the Excel spreadsheet function ASIN(x). The Maclaurin arcsine expansion is given by x 3x 6 40 (2n)! sin1(x)-2((2n+1) Note: This function by definition is only defined for-1 SxS1. When you write the code for calculating it, you will need to include code that assigns a value to it that reflects it is undefined for values...
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of...
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...
How would you limit the domain to make this function one to one? f(x) = x4 Your answer will be the point to which you would limit the function. So if you would restrict the domain to either all x values greater than or equal to two or all x values less than or equal to two, you would simply enter 2.
please do problems a-c, thank you
1.7 Preview Activity: Limits, Continuity, and Differentiability A function f defined on the interval 4 < x < 4 is given by the graph shown here. Use the graph to answer the questions. a. For each of the values a = -4,-3, -2,-1,0, 1, 2, 3, determine whether or not limf(x) exists. If the function has a limit Lat a given point, state the value of the limit using the notation limf(x) L. If...
(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y2 – 4x – 5 on the domain x2 + y2 < 100. The maximum value of f(x, y) is: List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). The minimum value of f(x,y) is: List points where the function...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
Find fY(y) from the domain:
Consider the domain D={(x,y): 0 < x < 1,-x < y < x} and let fix, y)=cx,where c is a constant. 1.1 (4.6 marks) To start with, we wish you to determine c such that f(x, y) a joint density of random vector (X, Y) that takes values on D. order to do that, you must first calculate fix, y) dA where dA is an area element of D, and then deduce c Hence you...
question 9 from A to F
9. (5 points) Please answer the following questions about the function fr) - 21² f(x) = 2.9 al num- increas- for the Instructions: . If you are asked for a function, enter a function. - If you are asked to find X- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. . If you are asked to find an interval or union...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
python
the
polynomial equation is Ax^3+Bx^2+Cx+D
b) Evaluating a polynomial derivative numerically For a function f(x), the derivative of the function at a value x can be found by evaluating f(x+2)-(*) and finding the limit as a gets closer and closer to 0. Using the same polynomial as the user entered in part (a), and for the same value of x as entered in part (a), compute the limit numerically. That is, start with an estimate by evaluating** 72 using...
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values for sin-1(x) from your program to those given by the Excel spreadsheet function ASIN(x). The Maclaurin arcsine expansion is given by x 3x 6 40 (2n)! sin1(x)-2((2n+1) Note: This function by definition is only defined for-1 SxS1. When you write the code for calculating it, you will need to include code that assigns a value to it that reflects it is undefined for values...
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...
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