Multiple Choice: 1. Simplify "1-2x-x+5x-3x2+15+x3 a) x3-4x2+3x -1 (b) x2-4x2 +3x +1 (c) x3-4x-3x +1 (d)+4x +3x +1 2. Expand "logly' x3 a) 2(Logly)+3logx)) ( (d) 2logl)+3loglv) (b) 3log(x) 2logly) (c) 6log(x)logly) 3. quals 5 (b) 55 (c) 64 (d) 10 a) 62
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
Question 3 4 pts Find the second derivative of the following function: x3-6x2+1 (a)3x+12 (b)3x-12 (c)6x-12 (d)6x+12 (e) 0 (a) (b) O (c) O (d) (e)
Consider the function f(x) = x3 + 3x² - 9x +1. (a) Identify all critical points of f(x). (Providing the -values will be sufficient. Hint: They will be integers.) (b) Use your answer from (a) to identify the absolute maximum value (global max) and absolute minimum value (global min) of f(x) over the x-interval (-2,2]. (Be clear and correct about what you are checking for full credit!)
7. Show that the equation f(x) = x^3 + 3x^2 - 9x + 7 = 0 has a solution for some x is E(-6; -5). Apply Newton’s method with an initial guess x0 = -5 to find x2. 8. Find the intervals of increase and decrease of the function x2e^-2x. 9. Sketch the graph of the curve y = x3 + 3x2 - 9x + 7. Be sure to find the intervals of increase, decrease and constant concavity and all...
85.66) Use Viete's method to get one real solution of 9 X3-9x= 4 and retain all road in order to express your solution in terms of "radicals" (rather than using, decimal Simplify your solution by radicals approximation), you & GS for as Can.
1 (3.02 + =) di Select one: a. None of these 2 b. 3x + C c. 3x - 2 2 + c d. 3r + + С 2
Select all of the equations that represent a nonlinear function. O y 3x2+ 9x +6 y x(3x + 10) 3
Which of the following equations has no real solutions? Select one: O A. X? +3x=7 O B. 5x-4 = 3x C. X? +1 = 3x OD. 2x2 +5x=3
tan 0 24) Simplify: seco A)sin 0 B)cos e C)csc 0 D)sin 0 – csc O E) csc 0 – sin 0