Extreme value theorem - Study guides, Class notes & Summaries

The (Limit) Definition of the Derivative F'(X) - answer- Mean Value Theorem - answer-Suppose y=f(x) is continuous over a closed interval [a,b] and differentiable on the interior (a,b) then there is at least 1 point "c" such that The Definition of Continuity at x=a - answer- First Fundamental Theorem of Calculus - answer- Second Fundamental Theorem of Calculus - answer- The Extreme Value Theorem - answer-If f is a continuous function on a closed interval [a,b], then f attains an...

IVT (Intermediate Value Theorem) - answer-if f(x) is continuous on [a,b], there exists a point "c" between a and b such that f(a) ≤ c ≤ f(b) EVT (Extreme Value Theorem) - answer-if a function is

Points of Inflection - ANSWER-If (c, f(c)) is a point of inflection of the graph of f, then either f"(c)=0 or f" is undefined at c Critical Value - ANSWER-Where first derivative is 0 or undefined Find absolute extrema - ANSWER-Use critical values and END POINTS in the function Horizontal Asymptote Rules - ANSWER-If m>n: NO HA If m=n: HA = co-eff of m/co-eff of n If m<n: HA: y = 0 Mean Value Theorem - ANSWER-if f(x) is continuous on [a,b] and differentiable on (a,b), there i...

2023 MAT 136: Calculus I - Spring 2020 Exam 3 Question 1 Find the local linearization of f(x)= x^3-2x^2+5 at x=5 L(x)=f(a)+f'(a)(x-a) f(a)=(5)^3-2(2)^2+5=80 f^' (x)=3x^2-4x f^' (a)=3(5)^2-4(5)=55 Therefore, L(x)=f(a)+f^' (a)(x-a)=80+55(x-5)=80+55x-275=55x-195 L(x)=55x-195 Estimate f(6) and f(0) using part a). f(6)≈L(6)=55(6)-195=135 f(0)≈L(0)=55(0)-195=-195 Are any of the estimates from part b) useful? Ex-plain why or why not. Yes, f(0) is the y-intercept ...

For the numbers 13, 16, 12, 11, 8, 14, 12 and 18 which of the following is true? a. median > mean > mode b. mean > mode > median c. median > mode > mean d. mean > median > mode d. mean > median > mode Jason, a freshman at a local college, just completed 15 credit hours. His grade report is presented below. Calculus 5 C Biology 4 A English 3 D Music 2 B P.E. 1 A A=4,B=3,C=2, D=1 2.6 When Scholastic ...

CHAPTER 3—DESCRIPTIVE STATISTICS: NUMERICAL MEASURES MULTIPLE CHOICE 1. 2. 3. 4. 5. The interquartile range is the difference between the a. first and second quartiles b. first and third quartiles c. second and third quartiles d. second and fourth quartiles ANS: B PTS: 1 The coefficient of determination is equal to the a. absolute value of the correlation coefficient b. squared value of the correlation coefficient c. square-root of the correlation coefficient d. inverse value ...

the definition of economics - Answer the relationship between ends and scarce means which have alternative uses the definition of environmental sustainability - Answer seeking to meet the needs and aspirations of the present without compromising the ability to meet those of the future according to an update by the Stockholm Resilience Centre from 2017, four of nine planetary boundaries have already been crossed as a result of human activity, what are they? - Answer climate change loss of ...

CPH Sample Exam 128 Questions with Verified Answers Which one of the following items does not represent the value of biostatistics in the assessment of health problems of the population and determine their extent? (A) Finding patterns in the collected data (B) Summarizing and presenting the information to best describe the target population (C) Deciding what information to gather to help identify the health problems (D) Accounting for possible inaccuracies in responses and measurements ...

CFA Level 1 Quantitative Methods Exam 318 Questions with Answers Three ways interest rates can be thought of - CORRECT ANSWER First, they can be considered required rates of return—that is, the minimum rate of return an investor must receive in order to accept the investment. Second, interest rates can be considered discount rates. In the example above, 5.26 percent is that rate at which we discounted the $10,000 future amount to find its value today. Thus, we use the terms "interest r...

extreme value theorem - Correct Answer if f(x) is continuous on [a,b] then f(x) contains an absolute max and absolute min on [a,b] Fermat's theorem - Correct Answer if f(x) is differentiable on (a,b) and has a local max or min at c within (a,b), then f'(c) = 0 critical points - Correct Answer for f(x), point a at which either f'(a) = 0 or f is not differentiable at a (closed intervals include endpoints) mean value theorem - Correct Answer if f(x) is continuous on [a,b] and differenti...