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1. The value of a in your answer in no.13 is pr questions 15 – 16 consider the following: ſe 2" cos2t dt 5. If we apply the D-I method and choose D=e-2t, then th will be 5. (e 2" cos2t dt = or questions 17 – 19 consider x-3 (x-1)°(x² + 4) x-3 The partial fraction decomposition of i: (x-1)°(x² + 4) 3. The numerator of (x-1) in the partial fraction decom is 9. The numerator of x² +4 in the partial fraction decomp. is In2t p. To calculate f " dt we can use (which method): 1. To apply partial fractions to a rational expression (decio the following), (i) denominator must have factors; (ii) if the rational expression is an improper fraction, the be performed.

1. The value of a in your answer in no.13 is pr questions 15 – 16 consider the following: ſe 2" cos2t dt 5. If we apply the D-I method and choose D=e-2t, then th will be 5. (e 2" cos2t dt = or questions 17 – 19 consider x-3 (x-1)°(x² + 4) x-3 The partial fraction decomposition of i: (x-1)°(x² + 4) 3. The numerator of (x-1) in the partial fraction decom is 9. The numerator of x² +4 in the partial fraction decomp. is In2t p. To calculate f " dt we can use (which method): 1. To apply partial fractions to a rational expression (decio the following), (i) denominator must have factors; (ii) if the rational expression is an improper fraction, the be performed.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For questions 13 – 14 consider the integral -3 dt V1+4t-t? 13. To calculate the integral we will rewrite it in which form to use the integrallist? 14. The value of a in your answer in no.13 is For questions 15 – 16 consider the following: -2t Je2" cos2t dt 15. If we apply the D-I method and choose D=e 2t, then the last row of the D-I table will be ſe 2" cos2t dt = 16. For questions 17– 19 consider X- 3 (x-1)* (x² + 4) x-3 The partial fraction decomposition of is (x-1)*(x² + 4) x-3 18. The numerator of (x-1) in the partial fraction decomposition of (x-1} (x² + a) is x-3 19. The numerator of x2 +4 in the partial fraction decomposition of (x-1) (x² + a) is In2t 20. To calculate || dt we can use (which method): 21. To apply partial fractions to a rational expression (decide upon the correctness of the following), (i) denominator must have factors; (ii) if the rational expression is an improper fraction, then long division must first be performed.
Transcribed Image Text:For questions 13 – 14 consider the integral -3 dt V1+4t-t? 13. To calculate the integral we will rewrite it in which form to use the integrallist? 14. The value of a in your answer in no.13 is For questions 15 – 16 consider the following: -2t Je2" cos2t dt 15. If we apply the D-I method and choose D=e 2t, then the last row of the D-I table will be ſe 2" cos2t dt = 16. For questions 17– 19 consider X- 3 (x-1)* (x² + 4) x-3 The partial fraction decomposition of is (x-1)*(x² + 4) x-3 18. The numerator of (x-1) in the partial fraction decomposition of (x-1} (x² + a) is x-3 19. The numerator of x2 +4 in the partial fraction decomposition of (x-1) (x² + a) is In2t 20. To calculate || dt we can use (which method): 21. To apply partial fractions to a rational expression (decide upon the correctness of the following), (i) denominator must have factors; (ii) if the rational expression is an improper fraction, then long division must first be performed.
For questions 1- 3, suppose that in cr? S= we have that the error in measuringr and Lare ±2% and ±5% respectively. The formula for the error in the calculated value of s is 1. 2. Consider the statements (decide upon the correctness of them): (i) Ar =+2%r; AL =±5%L; (ii) =±2%; dr dl - +5% dt dt 3. Consider the statements (decide upon the correctness of them): (i) The minimum error in s is 6% (ii) The maximum error in s is 14% For questions 4 - 7 consider the function z=9– 2x+4y-x² – 4y? 4. The expressions for and are 5. A stationary point for z is 6. ôxôy 7. The stationary point in no.5 is a(n) ô (,2 (x? cosh(sin(x- y))= 8. (x² cosh(sin(x – y)))= 9. v+coshz avəz Consider the following integral 10. 4 -dt 3t-6t2 and the statements (decide upon the correctness of them): (i) The integral can be calculated by making use of partial fractions (ii) The integral can be calculated by completing the square | 12. Consider the following integral Ssin2tcos2tdt and the statements (decide upon the correctness of them): The integral can be calculated by letting (i) u= sin2t (ii) u= cos2t
Transcribed Image Text:For questions 1- 3, suppose that in cr? S= we have that the error in measuringr and Lare ±2% and ±5% respectively. The formula for the error in the calculated value of s is 1. 2. Consider the statements (decide upon the correctness of them): (i) Ar =+2%r; AL =±5%L; (ii) =±2%; dr dl - +5% dt dt 3. Consider the statements (decide upon the correctness of them): (i) The minimum error in s is 6% (ii) The maximum error in s is 14% For questions 4 - 7 consider the function z=9– 2x+4y-x² – 4y? 4. The expressions for and are 5. A stationary point for z is 6. ôxôy 7. The stationary point in no.5 is a(n) ô (,2 (x? cosh(sin(x- y))= 8. (x² cosh(sin(x – y)))= 9. v+coshz avəz Consider the following integral 10. 4 -dt 3t-6t2 and the statements (decide upon the correctness of them): (i) The integral can be calculated by making use of partial fractions (ii) The integral can be calculated by completing the square | 12. Consider the following integral Ssin2tcos2tdt and the statements (decide upon the correctness of them): The integral can be calculated by letting (i) u= sin2t (ii) u= cos2t
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