19. Which of the following is an even function? 1) f(x) = 3x2 2) f(x) =...
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...
1 to 6 Remember- if f is an even function, f(-x) f (x). An even Fourier series, has only cosine terms and is used to approximate an even function, which we will denote it by: F(x)-a+a, cos(x) +a, cos(2x)+a, cos(3x) +.. Given an even function,f, on the interval [-π , we want to find the function Fe(x) so that f(x) This means that f(x) = ao + a, cos(x) +a2 cos(2x) +a, cos (3x)+ and, therefore, -F(x). jf(x)dr-fata, cos(x)+a,cos(2x)+a,cos(3x)+ dr....
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)
Suppose f(x) is an even function on the symmetric interval x 6 [-A, A] and g(x) is an odd function defined on the same interval. Which of the following must be true? A/3 A/3 84(3x) + 1 dx = 2 84(3x) + 1 dx -A/3 0 f(x) is not an odd function. A/2 A/2 ✓ f(x) dx = 2 ✓ f(x) dx -A/2 A | f(x)g?(x) dx = 0 -A
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
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) = |
Use the difference quotient (f(x+4)=f(x) on the following function. f(x) = 3x2 – 4
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
Question 8 f(x) = 3x2 + 2 Find f'(x). 0 sqrt(6x) O (3x^2 + 2)^3/2 O 1/sqrt(3x^2 + 2) O 3x/sqrt(3x^2 + 2)
The function f that satisfies f'(x) = 3x2 +1, f(2)=5 is Select one: a. f(2)=23+ O b. f(x) = 2 + 1 - 5 O c. f(x)=x3 ++2 d. f(x) = 3x2 – 7 O e. None of these. Let f(2) be a function that is continuous on 1, 7] with f(1) =3 and f(7) = 9. Then the Intermediate Value Theorem guarantees that Select one: O a. f'(2)=1 has at least on solution in the open interval (1,7). O...