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(1 point) Compare and discuss the long-run behaviors of the functions below. In each blank, enter...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b)...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) =...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
IN MATLAB 6. Construct Anonymous Functions to compute the functions below. Use the AFs within a...
IN MATLAB
6. Construct Anonymous Functions to compute the functions below. Use the AFs within a program to find Flx) in the range x (0:0.1.3]. Print the results as a table with columns x, and F(o) f(x)=x3-x-2 for 0 f(x) = x3 _ x _ 1 for 1 1 x 2 f(x) =x3 _ χ for 2.5 x < 3 Construct the anonymous function f(x,y) as shown for the mathematical function below. This function will be used in the future...
(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...
please help #2(b)) What types of functions are f(x) = e" and g(x) = x". Compare...
please help
#2(b)) What types of functions are f(x) = e" and g(x) = x". Compare the differentiation formulas for f and 9 # 3,4,6,11,14,19.21) Differentiate the function: # 3) f(x) = 186.5 # 4) f(1) = 30 # 6) (t) = {- 36 +t #11) G(x) = VI - 2* # 14) R(r) = YTO #19) y = +*+47 +3 # 21) v = # 25) Find the equation of the tangent line and normal line to the curve...
(1 point) Find a possible formula for the function graphed below. The z-intercepts are marked with...
(1 point) Find a possible formula for the function graphed below. The z-intercepts are marked with points located at (3,0) and (-6,0). while the y-intercept is marked with a point located at (0,-). The asymptotes are y = :-1,2 = -5, and 2. Give your formula as a reduced rational function f(x) = I help (formulas) 9 y X2 X T-6
Which computer based optimization technique would you recommend for each of the following objective functions? Please...
Which computer based optimization technique would you recommend for each of the following objective functions? Please justify your answer briefly in each case Powell's quartic function: (11025(r3-4)2+ (x2 - 2x3)4 +10(xi - x4)4; f(x) x 3,-1,0, 1]7; x' = (0,0,0, o]*". Fletcher and Powell's helical valley f(x) 100 (x3 100(a1, 2))2 (V+) if x1 > 0 arctan where 2T0(x1,2) 2 TTarctan if a 0 (-1,0, 0; x 1,0,07 х0 c) A non-linear function of three variables: 1 f(x) TT23+exp sin...
show work n answers only please 1. Is the point (1,0) on the graph of -1=y?...
show work n answers only please
1. Is the point (1,0) on the graph of -1=y? Explain. 2. Find the equation of the line parallel to 3y - 2x = 1 passing through the point (1,2). 3. Evaluate the difference quotient for the function $(x) = x2 - 4x +1 4. If h(x) -1ja? - 21, find functions f(x).9() so that (fog)(x) -() where neither f(x) nor g(x) is equal to h(x). Is (1) even, odd, or neither? 5. For...
For each of the functions below, the floating-point evaluation of the given function is very inaccurate...
For each of the functions below, the floating-point evaluation of the given function is very inaccurate for the specified range of values of the parameters. In each case, find another expression that is mathematically identical to the given function and that is more accurate using floating-point computation than is the given form of the function (for the specified values of the parameters). Note. Do not use any Taylor polynomial approximations in this question. (a) f(x) = V2-1 - Vr, when...
hey, please answer all the questions if you can . Question 1: (1 point) Factor the...
hey, please answer all the questions if you can .
Question 1: (1 point) Factor the polynomial x-x2-10 x–8 completely if -2 is a zero. (x + 2)(x + 1)(x-4) -2, 4.-1 (x-2)(x-4)(x + 1) Does not factor (x + 2)(x + 4)(x-1) is a zero Question 6: (1 point) Factor the polynomial 2 x2 - 7x2 + 73-2 completely if 11 / 2(x+)(x + (x + 1)(x + 2) O 2(x-Ź}(* (x + 1)(x + 2) o 2(x+ {...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
IN MATLAB
6. Construct Anonymous Functions to compute the functions below. Use the AFs within a program to find Flx) in the range x (0:0.1.3]. Print the results as a table with columns x, and F(o) f(x)=x3-x-2 for 0 f(x) = x3 _ x _ 1 for 1 1 x 2 f(x) =x3 _ χ for 2.5 x < 3 Construct the anonymous function f(x,y) as shown for the mathematical function below. This function will be used in the future...
(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...
please help
#2(b)) What types of functions are f(x) = e" and g(x) = x". Compare the differentiation formulas for f and 9 # 3,4,6,11,14,19.21) Differentiate the function: # 3) f(x) = 186.5 # 4) f(1) = 30 # 6) (t) = {- 36 +t #11) G(x) = VI - 2* # 14) R(r) = YTO #19) y = +*+47 +3 # 21) v = # 25) Find the equation of the tangent line and normal line to the curve...
(1 point) Find a possible formula for the function graphed below. The z-intercepts are marked with points located at (3,0) and (-6,0). while the y-intercept is marked with a point located at (0,-). The asymptotes are y = :-1,2 = -5, and 2. Give your formula as a reduced rational function f(x) = I help (formulas) 9 y X2 X T-6
Which computer based optimization technique would you recommend for each of the following objective functions? Please justify your answer briefly in each case Powell's quartic function: (11025(r3-4)2+ (x2 - 2x3)4 +10(xi - x4)4; f(x) x 3,-1,0, 1]7; x' = (0,0,0, o]*". Fletcher and Powell's helical valley f(x) 100 (x3 100(a1, 2))2 (V+) if x1 > 0 arctan where 2T0(x1,2) 2 TTarctan if a 0 (-1,0, 0; x 1,0,07 х0 c) A non-linear function of three variables: 1 f(x) TT23+exp sin...
show work n answers only please
1. Is the point (1,0) on the graph of -1=y? Explain. 2. Find the equation of the line parallel to 3y - 2x = 1 passing through the point (1,2). 3. Evaluate the difference quotient for the function $(x) = x2 - 4x +1 4. If h(x) -1ja? - 21, find functions f(x).9() so that (fog)(x) -() where neither f(x) nor g(x) is equal to h(x). Is (1) even, odd, or neither? 5. For...
For each of the functions below, the floating-point evaluation of the given function is very inaccurate for the specified range of values of the parameters. In each case, find another expression that is mathematically identical to the given function and that is more accurate using floating-point computation than is the given form of the function (for the specified values of the parameters). Note. Do not use any Taylor polynomial approximations in this question. (a) f(x) = V2-1 - Vr, when...
hey, please answer all the questions if you can .
Question 1: (1 point) Factor the polynomial x-x2-10 x–8 completely if -2 is a zero. (x + 2)(x + 1)(x-4) -2, 4.-1 (x-2)(x-4)(x + 1) Does not factor (x + 2)(x + 4)(x-1) is a zero Question 6: (1 point) Factor the polynomial 2 x2 - 7x2 + 73-2 completely if 11 / 2(x+)(x + (x + 1)(x + 2) O 2(x-Ź}(* (x + 1)(x + 2) o 2(x+ {...
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