Question 2: 60 Marks The function fx)-x-2x3-5x2+12x -5 as four distinct roots, we want to determine the roots by means of Müller's method (2.1) Which option is false? (10) (1) f(x) x-2x3-5x 12x-5 has no singularities and no obvious symmetries and f(0)--5 (2) f(x) 4x3 6x2-10x 12, f(x) 12x2 - 12x (3) f"(x) has a local ertremum at X = 0.5 (4) the two zeros for f"(x) are -0.5408 and 1.5408 (5) f"(x) has a local marinum at X =...
Find and simplify for the function f(x) = 6x2-12x + 9 6(a +h2 - 12(a +h) +9) -6(a)2 - 12(a) +9 6(h)2 -12(h)+9
Question 1 What is the domain of the function f(x) = 2ln(12x)? (0) (2) 12 (0,1) (1.) (e. c) Question 2 Write the following expression as a logarithm of a single quantity 9inx - 5ln(x2 +11) In(9x - 5(x² +11) In (x2 +11) In(x"(x2+11)) In 2°- (x2+11)')
Question 19 Given f(x) = x2 +2 and g(x) = 3x - 4 find (fog)(x) 9x2 - 12x+9 3x3-8 09x2 - 24x + 18 O x² + 3x-2
x 3 – 5x2 24x, find Given the function P(x) its y-intercept is Preview its x-intercepts are 2i = Preview ,22 = Preview and x3 = Preview with 11 < x2 < 23 ~ (Input + or - for the When x + 2, Y + answer) When I + O, Y → the answer) (Input + or - for
Find the inflection point(s) of the function f (x) = 2:03 + 15x2 + 24x O Inflection point at ( -,5). No inflection points. Inflection points at (-1,-11) and (-4,16). Inflection point at (0,0).
The force in newtons acting on a 4kg mass is f=12x^3-12x^2+16x+14 where x is in meters. F is oriented in the x direction and acts on the 4kg mass from x0=0 to xf=3m. If inittiallly at rest and all of the work of f is conserved, find the velocity of the 4 kg mass at xf=3m. report results in m/s
. Consider the function f(x) = 2x^ 3 + 9x^ 2 − 24x + 1. (1) (5 points) Find all the critical points of f(x). (2) (5 points) Find the intervals on which f(x) is increasing and decreasing, and find the x-values of any relative minima/maxima.
Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line to yasinx at x-0. 3. Find the points where the tangent line to the function fix)-2x+3x2-12x+4 is horizontal. Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line...
Find the average rate of change for the given function. f(x) = x + 12x between x = 0 and x = 5 The average rate of change is . (Simplify your answer.)