Could someone please help me prove this? I am uncertain on how to prove f has at least one maximum or minimum on an interval that is not closed and/or bounded.
Could someone please help me prove this? I am uncertain on how to prove f has...
Question 4* (Similar to 18.1) Suppose f is a continuous function on a closed interval [a, b]. In class, we proved that f attains its maximum on that interval, i.e. there exists Imar E la, so that f(Imar) > f(x) for all r E (a,b]. We didn't prove that f attains its minimum on the interval, but I claimed that the proof is similar. In fact, you can use the fact that f attains its maximum on any closed interval...
Let f be defined on an open interval I containing a point a (1) Prove that if f is differentiable on I and f"(a) exists, then lim h-+0 (a 2 h2 (2) Prove that if f is continuous at a and there exist constants α and β such that the limit L := lim h2 exists, then f(a)-α and f'(a)-β. Does f"(a) exist and equal to 2L? Let f be defined on an open interval I containing a point a...
Please can someone help me with this exercise? Thank you. e bounded on a nondegenerate interval [a, b]. Prove that f is e 0 there is a partition Pe of 5.1.10. Let f b integrable on [a, b] if and only if given la, b] such that P Po implies IU (f, P)-L(f, P)I < ε.
have a test tom, could really use some help with these questions please. please help Question 0.4. Find the limit (it it exists) of lim(2r +l -3) 11η Question 0.5. For what values of the constant c is the function f continuous everyuhere ca2 +2r when x < 2 3-cr otherwise -z has a root in (0.1). Question 0.6. Use intermediate value theorem to show Question 0.7. Find lim,→x (V9pH- 7. Find limgtoo (V9x2 +x-3r Question. Prove f(x) = (x...
Can someone please help me with this? I am not understanding how to assign these at all - if someone could please explain! Thanks! Below is a pedigree of a family with a disorder of unknown inheritance. Note that individual 11 is known to have no affected alleles. Superscript a indicates the affected allele for sex-linked traits. What are the possible genotypes of individual 1? □AA ΧΑΧΑ Aa 1213 14 15 16 17
1. Determine whether the statement is true or false. If false, explain why and correct the statement (T/FIf)exists, then lim ()f) o( T / F ) If f is continuous, then lim f(x) = f(r) (TFo)-L, then lim f(x)- lim F(x) "( T / F ) If lim -f(x)s lim. f(x) L, then lim f(x)s 1. "(T/F) lim. In x -oo . (T/F) lim0 ·(T / F ) The derivative f' (a) is the instantaneous rate of change of y...
Can someone please help me I am doing business law not economics. it should be written in 100 words and it should at least one citation from reliable source per response. what steps are required to form a corporation?
Could I have some help with this question please, would like to check my answer. 3. (a) Suppose f is continuous and lim f (x)-a. Prove that Jo f(t) dt = a im Hint: Begin with what it means in terms of the formal definition that lim f (x)=a. (b) Suppose f is continuous and lim f(x) = b. Prove that f (t) dt-b lim Hint: Begin in a similar way and note that then for large N and M,...
I am trying to solve this, but getting lost with the units. Could someone help me with the solution so I can check my answer? Thanks! 14.) Methane, CH4, diffuses in a given apparatus at the rate of 30 mLimin . At what rate would a gas with a molar mass of 100 diffuse under the same conditions?
PLEASE ANSWER ALL! SHOWS STEPS 2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3. Let f be a twice differentiable function defined on the closed interval [0, 1]. Suppose rems, that if (S) is a sequence converging to s, then lim, 10 2 f (x) is a continuous function on R r,s,t e [0,1] are defined so that r...