Consider the following. f(x) = 1 4 x4 + 1 2 x3 − 3x2 + 4 Find f '(x). f '(x) = x3+ 3x2 2−6x Find f ''(x). f ''(x) = 3x2+3x−6 Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) x = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using...
Graph: 4) f) 31+ 2 5) f(x)-x-3x2-4x +6 Graph: 4) f) 31+ 2 5) f(x)-x-3x2-4x +6
If f(x) = 3x2 - x + 2, find the following. f(3) = 26 f(-3) = 32 4/2) = 3(a)² – a+2 R2 + 1) = 3a + 5a +4 Rox + n) – 3x2 + 6hx + 3K? – x- 2x + ) – Rx) = |
19. Which of the following is an even function? 1) f(x) = 3x2 2) f(x) = 3 + x 3) f(x) = sin(3x) 4) f(x) = log10 3x
Please help me with these questions. 1). Let f(x) = 3x2 + 2 and g(x) = 3x − 3. Find the function. (g ∘ f)(x) 2). Write an equation in standard form of the circle described. Ends of diameter at (−2, −2) and (4, 6)
Solve 3x2 - X = 10. X = 2 and x = -15 x= -5 and x = WIN X= 5 3 and x = 2 Ox= -3 and x = 10
(11) Does the function f(x) = 3x2 + 5x – 2, defined for r € (-1, 1), satisfy the hypotheses of the Mean Value Theorem? Find x = c such that f'(c) is the slope of the secant line passing through (-1,f(-1)), and (1, f(1)).
Problem 1 Score: /25 a (12 Points): Consider the function f(x) = 3x2 + 2. - 1. Express this function in the form f(x) - a(a + k) +h. Find the vertex of the quadratic. Solve the equation f(x) = 0.
16. Divide: X-3 1 [A] x2 + 3x + 2 [B] x3 +3x2 + 3x – 1 X-3 3 5 [C] x2 + 3x + 14+ [D] x2 +3x+9+ 20 x-3 [E] None of these X-3 е е
S 3x2/8 if 0 < x < 2 f(x) = { 0 otherwise is a probability density function. (a) What is F(x), the associated cdf? (6) What is F-1(x)? et U ~ . Use a random number generator to generate ten observations of U. (d) If X is a random variable with pdf f, use your answer to (c) to generate ten observations of X.