A function is continuous everywhere. It is known that f"(x) > 0 on the interval (0, 3) and f"(x) <0 on the interval (3, 5). Which of the following conclusions is always true? OI= 3 is the location of the local minimum. O f"(3) = 0. Or= 3 is the location of the local maximum

Q: What values of a and b make the function f continuous everywhere? I -4 if z<2 H-2 az² – bz = 18, if…

A:

Q: Suppose the second derivative of a function ƒ(x) is ƒ"(x) = 2x – 1. Suppose x = 1 is a critical…

A:

Q: Determines the speed at which the two cars approach or move away from each other 0.5 hours later.…

A: The distance function d between two cars is given, we have to find at time t = 0.5 whether the car…

Q: (Min-Max Values of Differentiable Functions on Finite Closed Intervals; ). For each of the following…

A: ANSWER :

Q: 4. Is the function given by G(x) 1 x-1 the interval (0, ∞)? Why or why not? continuous over

A:

Q: Without solving , determine the interval of existence for the following I.V.P (x² – 4) y" +2- 3 y'…

A:

Q: 6. Find the absolute maximum and absolute minimum of the function f(x)=x´e^ +1 on the…

A:

Q: Consider the graph of a function f. Identify the correct statements about the graph. f'(x) > 0 for…

A: From the given graph, it can clearly identified that (1) The graph is decreasing for all real x. (2)…

Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

Q: 0.5 -0.5 0.5 --0.5-

A: Local maximum of the function.

Q: Suppose you know that the function f is decreasing and concave down on t interval [2, 7]. which of…

A: If the first derivative of a function is negative then the function is decreasing and vice versa.…

Q: The graph of the DERIVATIVE of f(x) is below: 6 -6 -5 -4 -3 -2 -1 54 4 3 2 1 7 -2 -34 14 -5 -6 -7-…

A:

Q: 5. Ôx (@) = ¢x (- w), if X is symmetric function.

A:

Q: 8. Show that the function f(2)= 2 is continuous everywhere but not differentiable anywhere.

A:

Q: Which of the following statements is false for a function f that can be differentiated at least…

A: We have to define which statement is wrong

Q: Suppose that f is continuous at (4, 6) and that f(4, y) = y' for y + 6. What is the value f(4, 6)?…

A: Given that f is continuous at 4,6 and that f4,y=y3 for y≠6. We have to find the value f4,6. Since,…

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find (*") dr.

A:

Q: 1. The graph of ƒ' is shown. y = f'(x) 2 -2 1 1 2 3 4 6 7 -2 -3 Sketch the graph of f given that f…

A:

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

A:

Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

Q: Which of the following statements are true? There can be multiple true statements; indicate all of…

A:

Q: 2. Let f(x) be a function with domain (00, -00) and f'(x) = 2x3+3x²-36r. Find the intervals where…

A: Step 1:Step 2: Step 3: Step 4: