In Exercises 16 through 20 find the remainder on dividing the indicated f(x) by x-a for...
stuck on #37 7-13 In Exercises 33 through 38. find the difference quotient, fa+ h)-a) 33. f(x)4 5x 35. f) 4x 2 34. f(x)2x 3 36. fx) x2 37. f) 38. f(x) - + 1 In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all number r (if any) such that f(g(x)) g(f(x)). 39. fx) Vt, gt) 1 3 7-13 In Exercises 33 through 38. find the difference quotient, fa+ h)-a) 33. f(x)4...
Use the remainder theorem to find the remainder when f(x) is divided by the given x-k. f(x) = 4x2 - 5x+8 X-3 When 4x2 - 5x + 8 is divided by x - 3, the remainder is
Please do 14 and 16: In Exercises 13 - 20, find the total area enclosed by the func- tions f and g. 13. f(x) = 2x² + 5x – 3,g(x) = x + 4x – 1 (14. f(x) = x2 – 3x + 2, g(x) = -3x + 3 15. f(x) = sin x, g(x) = 2x/TT ( 16. f(x) = x3 – 4x² + x – 1, g(x) = -x + 2x – 4
For the given function f(x), find a bound for the indicated remainder term on the given interval. 1) f(x) = (1 + x)-3, R2; a = 0; (-0.5, 0.5] Find the Taylor polynomial of order 3 based at a for the given function. 2) arctan 3x; a = -1
Find the indicated quantities for f(x) = 5x². (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h#0 (B) The slope of the graph at (1,f(1)) (C) The equation of the tangent line at (1,f(1)) (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h #0, is (B) The slope of the graph at (1,f(1)) is . (Type an integer or a simplified fraction.)...
Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = 3x4 - 17x2 – 3x2 + 4x +7;
2 Use synthetic division and the Remainder Theorem to find the indicated function value. 14) f(x) = 6x4 + 2x3 + 3x2 - 4x + 40; f(3) A) 813 B) 377 C) 1567 D) 595
#35,37 In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2x 3)14 22. fx) 23. f(x) = (2x + 1)4 24. f(x) = V 5x6-12 25. fx)-(a 4r3 78 26. ft) (3r 729)5 27, f(t) = V5 3x 28. f(x)=- (6x2 +5x+ 1)2 5rt_ V4x2 30. 4x +1 31. f(x)=: (1-x2)4 2 3(5x4 1)2 32. f(x) = (1-x2)4 (135) f(x) = (x + 2)3(2x-1)5 36. f(x) 2(3x 1)(5x 3)2 (1 -x 1 - 5x2...
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...
For the following exercises, find (fºg)(x) and ( gn) for each pair of functions. 34. f(x) = 4 – x, g(x) = - 4x 35. f(x) = 3x + 2, g(x) = 5 - 6x 36. f(x) = x2 + 2x, g(x) = 5x + 1 37. f(x) = Vx+2, g(x) = 38. f(x)= x +3 1, g(x) = V1 - x