Evaluating a Limit Example 1 as a model to evaluate the limit f(c) Ax In Exercises 3 and 4, use 2 -2 -4 www lim n oo 1 over the region bounded by the graphs of the 17. f(x)= 25 - x2 equations. 3. fx)=x, y=0, x = 0, x = 3 ( 3i2 Hint: Let c n2 x = 1 Hint: Let c 4. flx)= x, y = 0, x = 0, 15 n 10 Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the limit definition. -6 -4 -2 3 19. f(x) = cos x 6. x dx 8 dx 5. -2 у S. 4 8 4x2 dx dx 7. 1 10. (2x2+3) dx + 1) dx ( 9. -2 Limit as a Definite Integral In Exercises Writing 11 and 12, write the limit as a definite integral on the given interval, where c, is any point in the ith subinterval. 21. g(y) = Interval Limit y п [-1, 5] (3c, + 10) Ax, 11. lim All 4 [0, 3] 12. lim All0 c+ 4 Ax 3 ANAWA 2 Writing a Definite Integral In Exercises 13-22, write a definite integral that represents the area of the region. (Do not evaluate the integral.) 1 13. f(x) =5 14. f(x) 6-3x y y 5 +

Evaluating a Limit Example 1 as a model to evaluate the limit f(c) Ax In Exercises 3 and 4, use 2 -2 -4 www lim n oo 1 over the region bounded by the graphs of the 17. f(x)= 25 - x2 equations. 3. fx)=x, y=0, x = 0, x = 3 ( 3i2 Hint: Let c n2 x = 1 Hint: Let c 4. flx)= x, y = 0, x = 0, 15 n 10 Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the limit definition. -6 -4 -2 3 19. f(x) = cos x 6. x dx 8 dx 5. -2 у S. 4 8 4x2 dx dx 7. 1 10. (2x2+3) dx + 1) dx ( 9. -2 Limit as a Definite Integral In Exercises Writing 11 and 12, write the limit as a definite integral on the given interval, where c, is any point in the ith subinterval. 21. g(y) = Interval Limit y п [-1, 5] (3c, + 10) Ax, 11. lim All 4 [0, 3] 12. lim All0 c+ 4 Ax 3 ANAWA 2 Writing a Definite Integral In Exercises 13-22, write a definite integral that represents the area of the region. (Do not evaluate the integral.) 1 13. f(x) =5 14. f(x) 6-3x y y 5 +

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Description: 11 Evaluating a LimitExample 1 as a model to evaluate the limitf(c) AxIn Exercises 3 and 4, use2-2-4wwwlimn oo 1over the region bounded by the graphs of the17. f(x)= 25 - x2equations.3. fx)=x, y=0, x = 0, x = 3(3i2Hint: Let cn2x = 1Hint: Let c4. flx)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.4: Linear Programming

Problem 7E

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