Question 7 8 pts Iff"(c) > 0, then f(c) is a relative (Select] Iff"(c) < 0,...
D Question 36 8 pts Given the digraph a b с Select every trail in the list below <b.cb> <bcba <b> Dcb.c.ba MacBook Pro 搜索或入网址 $ 96 3 5 6 & 7 +00 9 E R T Y U 0 C
3x + 6, if x so (8 pts) 5. Sketch the graph of f(x)= x+3, ifx>0
4. (a) Suppose that limz-c f(x) = L > 0. Prove that there exists a 8 >0 such that if 0 < 12 – c < 8, then f(x) > 0. (b) Use Part (a) and the Heine-Borel Theorem to prove that if is continuous on (a, b) and f(x) > 0 for all x € (a, b), then there exists an e > 0 such that f(x) > € for all x € [a, b].
Question 10 > 0/2 pts 399 Details Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the probability distribution for X. k P(X = k) What is the expected value of X? Question Help: D Post to forum Submit Question
Question 3 3 pts At 25°C, the pH of pure water is O >7.<14 >0, <7 Question 4 3 pts What is the pH of a 0.570 M solution of aniline? Kb=7.4E-10 Oo oo
(4) Define Pove the following statements. (a) f is continuous iff a >0. (b) (0) exists iff a > 1 Hints: a Note that is, in fact, infinitely differentiable except at 0. So, the only questio of oontinuity Eatヱ-0. what happens when a-0? Try finding sequences {Fm埽, and {y,'埽-1 such that Urn)-y" and so that y,' if a-0 and +so if a < 0. what does this tell you? On the other hand, look at lf(r)- Can you find a...
> Question 8 5 pts The following set of data is from a sample of n=6. 7, 10, 9, 7, 8, 12 a. Compute the mean, median, and standard deviation. (Round to two decimal places as needed.) b. What is the shape of the dataset? Why? Upload Choose a file
Question 1 4 pts Find the Laplace transform of ift <TI, f(t) {i = 0 t-a if <t < 27 0 ift > 27 -TS e TS - -27s 1 s2 $ 1 eans 1 Te27 1 s2 (e-ws e=278) -TTS -27s 1 Te-27 1 s2 s O None of the above
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0, and f" (6) = 0. Which statement must be true about the graph of f? (6,7) is a local minimum point (6,7) is a local maximum point (6,7) is a global maximum point There's not enough information to tell. (6,7) is a point of inflection (6,7) is a global minimum point Question 5 14.3 pts Let f be a twice differentiable function. y С...
25. Consider the functions. (8 pts) a) f(x) = I b) f(x)= x c) f(x) = x² d) f(x) = (xl e) F(x)=x F) f(x) = x g) f(x) = a*, a>0 h) F(x)= logo A) which function is one-to-one? B) which function has domain (-os)? c) which function has range (-18,)? 25 A 25 B