Question 19 Suppose that f is continuous on [1,5] and f(x) ≤ 0 if and only if 2 ≤ x ≤ 3. If 3 L-L\x-[04-1, ["³ \ƒ(x)\ dx = [² f(x) dx = 1 then f(x) f(x) dx =

Q: 3) Differentiation D: F[t] ---> F[t], is linear and satisfies Dt¹ = nt¹-1. It satisfies the usual…

A: (a) We have f(c) = 0 if and only if (t-c) divides f in F[t]. Thus, we can write f(t) = (t-c)g(t) for…

Q: If f(x) = g(x) for x # c and f(c) # g(c) then either f or g is not continuous at c.

A: Continuous Function:In mathematics, a continuous function means that a continuous change in the…

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: 2. ASSUME f(x) IS CONTINUOUS AND DIFFERENTIABLE ON AN OPEN INTERVAL AS GRAPHED. WHICH OF THESE…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Refer to the graph of f(x) on the interval [-2, 4] shown below. Which of the following would give…

A:

Q: x3-1 si x + 1 x4-1 f (x) = Determine whether the following Function 9.- %3D 1 si x = 1 b) Is…

A:

Q: If f has a derivative at x = 2, then f is continuous at x = = 2. True False

A:

Q: 2 y= f'(x) 1 1 2 -1

A: The graph is continuous in the domain [0,3]. This means there is no discontinuity in the graph of…

Q: if f'(a) exists, then f is continuous at x = a. True False

A: Function f differentiable at x=a

Q: each

A:

Q: If f is a continuous function on [a, b], ƒ is differentiable on (a, b), and if both f(a) and f(b)…

A: This question is based on Rolle's theorem which is explained in step 2.

Q: If f is a continuous function on [a, b], and if f (a) = -2 and ƒ (b) = 2, then there exists a real…

A: Hi, you can find the answer in the handwritten form.  Given f(a)=-2  f(b)= 2

Q: Sketch a graph of the function f that is continuous on (-∞,∞) and has the following properties.…

A: