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Valuate th 3.3.1 limr cotr 10 1x - 21 3.3.2 lim lim 1+2 -2 3.13 -...
For Exercises 21 and 22, consider the function f given by 5x – 2, for x...
For Exercises 21 and 22, consider the function f given by 5x – 2, for x S 3, f(x) 1x - 1, for x > 3. у 5 4 3 N -1 -5-4-3-2-1 -1 1 2 3 4 5 х -4 If a limit does not exist, state that fact. 21. Find (a) lim -f(x); (b) lim+f(x); (c) lim f(x). 22. Find (a) lim-f(x); (b) lim-f(x); (e) lim f(x). 23
find the limits analytically, show all steps x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2...
find the limits analytically, show all steps
x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
21 Q. No: 1 lim is equal to: انا ابن (a) o (6) 1 (c) 2...
21 Q. No: 1 lim is equal to: انا ابن (a) o (6) 1 (c) 2 Q. No: 2 The average value of the function f(x) = sin(32) on (0, is equal to: 2 (6) (d) Q. . No: 3 The integral (.' |--1/4 | dx is equal to: (a) 0 (6) 1 (0) sin Q. No: 4 The intergral ſi dr is equal to: 1 + cos2x (a) - tan(sin x) + (6) - tancos x) + c (c)...
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show...
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
10) Use Theorem 4 to evaluate. n(n+1) 2 (=1 i = 10 pts 21-11 = n)...
10) Use Theorem 4 to evaluate. n(n+1) 2 (=1 i = 10 pts 21-11 = n) 2,12 = n(n+1)(2n+1) E=1 43 = {*+1), 2 4 Theorem Iff is integrable on (a, b), then (x) dx = lim 8(xAx where and X; - a +i Ax (2x + 3 (2x + 5)dx
1. (10 pts) Evaluate limits. Apply L'Hopital's Rule when needed. (Inx) a. lim b. lim 1/(1-2)...
1. (10 pts) Evaluate limits. Apply L'Hopital's Rule when needed. (Inx) a. lim b. lim 1/(1-2) 20+
Part 1: Part 2: 1 2/2 Calculate lim +0 ( + ) Let f(x) be a...
Part 1:
Part 2:
1 2/2 Calculate lim +0 ( + ) Let f(x) be a differentiable function such that lim f(x) = 00. 200 In(f(x)) (a) Compute lim 10 f(x) e-2f(x) (b) Compute lim 2400 arctan( f(x)) –
QUESTION 21 ng actual vatus x1-2, x2 . 4. y-20. Th-senats tho s + 5x 1...
QUESTION 21 ng actual vatus x1-2, x2 . 4. y-20. Th-senats tho s + 5x 1 + 2x 2 An observation has the bl A multiple linear regression model was fitted as 9-10 OA 28 O B 18 o cs O E Cannot be determined
Q5(3). Suppose there is random variable X, whose PDF is (10 points, 2 for each): 1x-2)2...
Q5(3). Suppose there is random variable X, whose PDF is (10 points, 2 for each): 1x-2)2 a) What is the name of the distribution of X b) E(2X+1)- c) Var(2X +1)- d) Find the constant x such that P(X > x) = 0.05 e) What is the distribution of 2X?
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
For Exercises 21 and 22, consider the function f given by 5x – 2, for x S 3, f(x) 1x - 1, for x > 3. у 5 4 3 N -1 -5-4-3-2-1 -1 1 2 3 4 5 х -4 If a limit does not exist, state that fact. 21. Find (a) lim -f(x); (b) lim+f(x); (c) lim f(x). 22. Find (a) lim-f(x); (b) lim-f(x); (e) lim f(x). 23
find the limits analytically, show all steps
x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
21 Q. No: 1 lim is equal to: انا ابن (a) o (6) 1 (c) 2 Q. No: 2 The average value of the function f(x) = sin(32) on (0, is equal to: 2 (6) (d) Q. . No: 3 The integral (.' |--1/4 | dx is equal to: (a) 0 (6) 1 (0) sin Q. No: 4 The intergral ſi dr is equal to: 1 + cos2x (a) - tan(sin x) + (6) - tancos x) + c (c)...
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
10) Use Theorem 4 to evaluate. n(n+1) 2 (=1 i = 10 pts 21-11 = n) 2,12 = n(n+1)(2n+1) E=1 43 = {*+1), 2 4 Theorem Iff is integrable on (a, b), then (x) dx = lim 8(xAx where and X; - a +i Ax (2x + 3 (2x + 5)dx
1. (10 pts) Evaluate limits. Apply L'Hopital's Rule when needed. (Inx) a. lim b. lim 1/(1-2) 20+
Part 1:
Part 2:
1 2/2 Calculate lim +0 ( + ) Let f(x) be a differentiable function such that lim f(x) = 00. 200 In(f(x)) (a) Compute lim 10 f(x) e-2f(x) (b) Compute lim 2400 arctan( f(x)) –
QUESTION 21 ng actual vatus x1-2, x2 . 4. y-20. Th-senats tho s + 5x 1 + 2x 2 An observation has the bl A multiple linear regression model was fitted as 9-10 OA 28 O B 18 o cs O E Cannot be determined
Q5(3). Suppose there is random variable X, whose PDF is (10 points, 2 for each): 1x-2)2 a) What is the name of the distribution of X b) E(2X+1)- c) Var(2X +1)- d) Find the constant x such that P(X > x) = 0.05 e) What is the distribution of 2X?
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
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