Question:

Function r(t) gives the amount of rainfall accumulated in inches, when it is t hours after the rain started. Which statement represents the meaning of the equation r(5) = 2.5 in this situation? ○ 2.5

Function r(t) gives the amount of rainfall accumulated in inches, when it is t hours after the rain started. Which statement represents the meaning of the equation r(5) = 2.5 in this situation?
○ 2.5 hours after the rain started, it has rained 5 inches
○ 5 days after the rain started, it has rained 2.5 inches
○ 5 hours after the rain started, it has rained 2.5 inches
○ It has rained 5 inches for 2.5 hours

Function r(t) gives the amount of rainfall accumulated in inches, when it is t hours after the rain started. Which statement represents the meaning of the equation r(5) = 2.5 in this situation? ○ 2.5 hours after the rain started, it has rained 5 inches ○ 5 days after the rain started, it has rained 2.5 inches ○ 5 hours after the rain started, it has rained 2.5 inches ○ It has rained 5 inches for 2.5 hours

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Find the point of inf

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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin [0,82] Step 1 Let f be a function whose second derivative exists on a closed open interval I. If F"(x) > 0 for all x in I, then the graph of f is concave upward upward on I. And if f"(x) < 0 for all x in I, then the graph of fis concave downward downward on I. If a tangent line exists at a point where concavity changes, this point is called a point of inflection. Step 2 If (c, f(c)) is a point of inflection of the graph off, then either f"(c) = 0 or f" does not exist at x = c. Differentiate f(x) with respect to x. f'(x) = cos( ) - 320 (7) Step 3 COS 4 with respect to x. Now, differentiate f(x) = 1 Tosin X F"(x) = 1 sin 16 (6) Step 4 1 Now, let f'(x) = 0 and solve for x. Remember that f'(x) = - sin is a periodic function, and thus there 16 4 are infinitely many angles that satisfy the condition. For this step, just give the three angles when 0 SXs87. (Enter your answers as a comma-separated list.) 1 sin 17 - X = 0 16 sin x = 0 X = sin -(0) + an (where n is an integer) 4 0,41,870 0, 47,87 Out of those three values, only x = 41 40 is inside the open interval (0,87). We discard the others, because concavity cannot change at the terminal point of the domain of a function. Step 5 Now evaluate f(x) for x = 41. 41 f(41) = sin 4 Therefore, the possible point of inflection is as follows. (x, y) = 210,1 * ) We must check that concavity changes here to confirm that it is an inflection point. Submit Skip (you cannot come back)