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In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2...
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...
3) Write a polynomial f(x) that meets the given conditions. Answers may vary. 3) Degree 2 polynomial with zeros 212 and -222 A) S(x) = x2 + 472x+8 B) f(x) = x2-8 9 S(x) = x² + 8 D) S(x) = x2-11/2x+8 4) Degree 3 polynomial with zeros 6, 21, and -2i A) S(x) => x3 + 6x2 + 4x + 24 f(x)= x2 - 6x2 + 4x - 24 B) /(x) = x2 - 6x2 - 4x + 24...
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
4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4
a-f Differentiate the following by using the product rule: w 9x² – 2)(3x + 1) (c) x² (4x+6) (e) (2 - x)(1+x)(x+21 (b) (3x + 10)(6x2 - 7x) (d) (ax - b)(cx2) (f) (x2 + 3)x-1 co Given AR = 60 - 3Q, plot the average-revenue curve, and then find the MRC
Let h(x) = 14), where f(x) = –2x – 3 and g(x) = x2 – x + 2. What is h' (x)? Select the correct answer below: 2x2 +6x–7 *4–2x3 +5x2–4x+4 -6x2–2x-1 x+-2x3 +5x2-4x+4 2x2+6x–7 x-x+2 O za
Question 21 Solve the systems in Exercises 19-24 with the elimination method. Check your answers by substituting them back in. (Answers are not given at the back of the book.) 19. 2x + 3y = 5 20. 5x + 3y = 11 4x – 2y = 2 2x + 7y = 16 21. 3x – 7y = 27 22. 5x - 2y = -23 4x – 5y = 23 x + 2y = 5 23. 5x – 9y = -12...
Problem ll C10 points) choose any 2 problems In Problems 21-32, find the derivative of each function at the given number. 21. f(x) = -4x + 5 at 3 22. f(x) = -4 + 3x at 1 24. f(x) = 2x² +1 at -1 25. f(x) = 2x² + 3x at 1 23. f(x) = x2 - 3 at 0 26. f(x) = 3r? - 4x at 2
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
**PLEASE USE MATLAB 2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. 3x, + 2x,-4x, + x,-2 -x, +5x2 + 2x, + 3x4 = 4 4x,...