Previous Problem Problem List Next Problem 4.2 Maximum and Minimum Values: Problem 5 (1 point) Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. A good technique is to think of several examples, especially examples which might show that the statement is false! You must get all of the answers correct to receive credit. 1. Every function on the interval (-1, 1) must have both a maximum and a minimum. 2. Every continuous function on the interval (1, 5] must have both a maximum and a minimum. 3. Every function on the interval [1, 5) must have both a maximum and a minimum. 4. Every differentiable function on the interval (-1, 1] must have both a maximum and a minimum. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 5 times. Your overall recorded score is 50%. You have unlimited attempts remaining. Email Instructorbetween_two_curves / 4 Previous Problem Problem List Next Problem 6.1 Area between two curves: Problem 4 (1 point) Find the two values of c such that the area of the region enclosed by the parabolas y = x2 - c and y = c2 - x2 is 576. Smaller value of c = Larger value of c = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructor Page generated at 12/12/2023 at 12:21am EST WeBWork @ 1996-2021| theme: math4 | ww_version: 2.16 | pg_version 2.16) The WeBWork ProjectPrevious Problem Problem List Next Problem 6.1 Area between two curves: Problem 5 (1 point) Find the area between the curves: y = 23 - 12x2 + 35x and y = -23 + 12x2 - 35x Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Email InstructorPrevious Problem Problem List Next Problem 6.1 Area between two curves: Problem 6 (1 point) Sketch the region between y = 1x - 2 and the x-axis over the interval [-2, 6]. Find the area of the region. The area is Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructor Page generated at 12/12/2023 at 12:22am EST WeBWork @ 1996-2021| theme: math4 | ww_version: 2.16 | pg_version 2.16) The WeBWork Projectccny.cuny.edu/webwork2/23_Fa205_ST/2.4_Derivative_as_a_function/8/?effectiveUser=iakram001 Paused Previous Problem Problem List Next Problem 2.4 Derivative as a function: Problem 8 (1 point) Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. (A) For what values of a in (0,8) is f() increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can enter the empty set as { }. (B) Find all values of a in (0,8) is where f() has a local minimum, and list them (separated by commas) in the box below. If there are no local minima, enter None. Local Minima: Note: You can earn partial credit on this problem. Preview My Answers Submit AnswersNext Problem At least one of the answers above is NOT correct. The domain of the function h graphed below is all real numbers, and all of its extreme values occur when -3