suppose f(x)=x^2+x-6 for x does not equal 2 and f(x)=3 for x=2. Then which of the...
suppose f(x)=x^2+x-6 for x does not equal 2 and f(x)=3 for x=2. Then which of the following statements are true? (I) f(x) is continuous on (-∞, ∞). (II) f(x) is discontinuous at 2 because f(2) is undefined. (III) f(x) is discontinuous at 2 because lim x→2 f(x) does not exist. (IV) f(x) is discontinuous at 2 because lim x→2 f(x) ≠ f(2).
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suppose f(x)=x^2+x-6 for x does not equal 2 and f(x)=3 for x=2.
Then which of the...
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x...
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
Use the graph of f(x) below, answer each of the following questions. If the limit does...
Use the graph of f(x) below, answer each of the following questions. If the limit does not exist, write DNE: 4 3 2. 1 -5 -2 1 2 3 4 5 1 -2 -3 -4 f(5) = f(-4) = lim f(x) = 2-75- lim f(x) = x~ lim f(x) = 27-4- lim f(x) = I 27-4 27-2 lim f() = At what values of x is f(x) discontinuous? Give the intervals on which f(x) is continuous.
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of...
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of the following. i.) lim f(x) ii.) lim f (x) x=0 X2 TI iii.) lim f(x) iv.) f(2) x-1- v.) lim f(x) vi.) lim f(2.5+h)-f(2.5) h 0 h x +1 -4 b. State all x values at which i.) f(x) is discontinuous ii.) f(x) is not differentiable.
2 *3 X3 6. Consider a function y = f(x) such that lim f(x) = 2,...
2 *3 X3 6. Consider a function y = f(x) such that lim f(x) = 2, lim f(x) = 2, and f(3) = -1. Explain whether each statement is true or false. a) y=f(x) is continuous at x = 3. b) The limit of f(x) as x approaches 3 does not exist. c) The value of the left-hand limit is 2. d) The value of the right-hand limit is -1. e) When x = 3, the y-value of the function...
funct (b) Use the graph of f(x) to answer the questions that follow: 10+ i. lim...
funct (b) Use the graph of f(x) to answer the questions that follow: 10+ i. lim f(x) lim /(x) = lim f(x) = f(-2) - ii. Is f(x) continuous at -2? Explain briefly. $(2) = iii. lim (3) - lim f(x) = lim /(r) - iv. Is (1) continuous at : = 2? Explain briefly wolle v. List all intervals on which f(x) is continuous
PLEASE ANSWER ALL NUMBER 3 (Parts A-F) Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a funct...
PLEASE ANSWER ALL
NUMBER 3 (Parts A-F)
Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (i) b) (), (ii), and (iv) c) (i), (iii),...
Example 6 Consider the complex ion ICo(NHl2. Which response contains all of the following stateme...
Example 6 Consider the complex ion ICo(NHl2. Which response contains all of the following statements that are true, and no false statements. I- it is paramagnetic II- it is high spin complex III- it is a low spin complex IV- it has octahedral geometry V- it does not exist as geometric isomers a- I and II c- II, IV and V e- I, IV and V b- III and IV d- III, IV and V
Example 6 Consider the complex...
Q2. x+y (a). Let f(x,y) = x²+y²+1 Find (i). lim (x,y)-(1,1) f(x,y) (ii). lim f(x,y) (x,y)-(-1,1)...
Q2. x+y (a). Let f(x,y) = x²+y²+1 Find (i). lim (x,y)-(1,1) f(x,y) (ii). lim f(x,y) (x,y)-(-1,1) (iii). lim f(x,y) (x,y)-(1,-1) (iv). lim f(x,y) (x,y)-(0,0) ( 4x²y if (x, y) = (0,0) Q3. Let f(x,y) = x2 + y2 1 if (x,y) = (0,0) Find (i). lim f(x,y) (x,y)--(0,0) (ii). Is f(x,y) continuous at (0,0)? (iii). Find the largest set S on which f(x,y) is continuous.
Given the function f(r.y) lim f(x, y) (ry)-+(0,0) a. Evaluate iii. Along the line y= r: i. Along the r-axis: iv. Alo...
Given the function f(r.y) lim f(x, y) (ry)-+(0,0) a. Evaluate iii. Along the line y= r: i. Along the r-axis: iv. Along y12 ii. Along the gy-axis: ,f(x, y) exist? If yes, find the limit. If no, explain why not. lim (a.)-(0,0) b. Does (0,0)? Why or why not? c. Is f continuous at d. The graphs below show the surface and contour plots of f (graphed using WolframAlpha). Explain how the graphs explain your answers to parts (a)-(c) above....
Use the graph to find the following imits. 6- a. lim f(x)b. lim f(x) x-3 4 2 a. Find f(x) or state that it doesn't...
Use the graph to find the following imits. 6- a. lim f(x)b. lim f(x) x-3 4 2 a. Find f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes lim x→-3 in your choice. -4 -2 OA. f(x)= lim (Type an integer.) O B. The limit does not exist. b. Find lim f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes x→-1 in...
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
Use the graph of f(x) below, answer each of the following questions. If the limit does not exist, write DNE: 4 3 2. 1 -5 -2 1 2 3 4 5 1 -2 -3 -4 f(5) = f(-4) = lim f(x) = 2-75- lim f(x) = x~ lim f(x) = 27-4- lim f(x) = I 27-4 27-2 lim f() = At what values of x is f(x) discontinuous? Give the intervals on which f(x) is continuous.
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of the following. i.) lim f(x) ii.) lim f (x) x=0 X2 TI iii.) lim f(x) iv.) f(2) x-1- v.) lim f(x) vi.) lim f(2.5+h)-f(2.5) h 0 h x +1 -4 b. State all x values at which i.) f(x) is discontinuous ii.) f(x) is not differentiable.
2 *3 X3 6. Consider a function y = f(x) such that lim f(x) = 2, lim f(x) = 2, and f(3) = -1. Explain whether each statement is true or false. a) y=f(x) is continuous at x = 3. b) The limit of f(x) as x approaches 3 does not exist. c) The value of the left-hand limit is 2. d) The value of the right-hand limit is -1. e) When x = 3, the y-value of the function...
funct (b) Use the graph of f(x) to answer the questions that follow: 10+ i. lim f(x) lim /(x) = lim f(x) = f(-2) - ii. Is f(x) continuous at -2? Explain briefly. $(2) = iii. lim (3) - lim f(x) = lim /(r) - iv. Is (1) continuous at : = 2? Explain briefly wolle v. List all intervals on which f(x) is continuous
PLEASE ANSWER ALL
NUMBER 3 (Parts A-F)
Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (i) b) (), (ii), and (iv) c) (i), (iii),...
Example 6 Consider the complex ion ICo(NHl2. Which response contains all of the following statements that are true, and no false statements. I- it is paramagnetic II- it is high spin complex III- it is a low spin complex IV- it has octahedral geometry V- it does not exist as geometric isomers a- I and II c- II, IV and V e- I, IV and V b- III and IV d- III, IV and V
Example 6 Consider the complex...
Q2. x+y (a). Let f(x,y) = x²+y²+1 Find (i). lim (x,y)-(1,1) f(x,y) (ii). lim f(x,y) (x,y)-(-1,1) (iii). lim f(x,y) (x,y)-(1,-1) (iv). lim f(x,y) (x,y)-(0,0) ( 4x²y if (x, y) = (0,0) Q3. Let f(x,y) = x2 + y2 1 if (x,y) = (0,0) Find (i). lim f(x,y) (x,y)--(0,0) (ii). Is f(x,y) continuous at (0,0)? (iii). Find the largest set S on which f(x,y) is continuous.
Given the function f(r.y) lim f(x, y) (ry)-+(0,0) a. Evaluate iii. Along the line y= r: i. Along the r-axis: iv. Along y12 ii. Along the gy-axis: ,f(x, y) exist? If yes, find the limit. If no, explain why not. lim (a.)-(0,0) b. Does (0,0)? Why or why not? c. Is f continuous at d. The graphs below show the surface and contour plots of f (graphed using WolframAlpha). Explain how the graphs explain your answers to parts (a)-(c) above....
Use the graph to find the following imits. 6- a. lim f(x)b. lim f(x) x-3 4 2 a. Find f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes lim x→-3 in your choice. -4 -2 OA. f(x)= lim (Type an integer.) O B. The limit does not exist. b. Find lim f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes x→-1 in...
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