In Exercises 1-4, find the domain of the function. 1. f(x) = ex+1 2. f(t) =...

  

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In Exercises 1-4, find the domain of the function. 1. f(x) = ex²+1 2. f(t) = In(1-x²) 3. g(x) = In(x²) 2 log3 (x² + 1) In Exercises 5-13, find the derivative of the function. 5. f(t) = ²³-1 6. g(r) = x² log₂x log, x 5x 4. f(x) = 7. f(x) = 8. f(x) = 4 9. f(x) = 7¹087x 10. g(x) = e sin(x-Inx) 11. h(r) = tan (3) 12. h(x) = log10 14. Find the two values of n so that the function y = enx satis- y"+y'-6y=0. fies the differential equation In Exercises 15-23, evaluate the integral. [5'dx 15. 5. 1.² 10 17. (x3²-1dx 16. loga x dx In Exercises 1-4, find the domain of the function. 1. f(x) = ex²+1 2. f(t) = In(1-x²) 3. g(x) = In(x²) 2 log3 (x² + 1) In Exercises 5-13, find the derivative of the function. 5. f(t) = ²³-1 6. g(r) = x² log₂x log, x 5x 4. f(x) = 7. f(x) = 8. f(x) = 4 9. f(x) = 7¹087x 10. g(x) = e sin(x-Inx) 11. h(r) = tan (3) 12. h(x) = log10 14. Find the two values of n so that the function y = enx satis- y"+y'-6y=0. fies the differential equation In Exercises 15-23, evaluate the integral. [5'dx 15. 5. 1.² 10 17. (x3²-1dx 16. loga x dx