Question 5 W Compute the RADIUS of convergence of the following PON VI 100 12 Question 6 ke Your answer should be in decimal and ro Approximate the value of places if nece e *dx by integrating from 0 to 1 the 4th order Taylon polynomial of centered at a-0. Note that the Maclaurin series of is on your formula sheet 1 5/3 28/30 , 103160
Algorithms
Consider the universal hash function ha(x) = ((a * z)%p)%s for p = 7 and 8-4; e the random parameter a was chose a 2. If the hash key r goes through all possible valuesェ-0…., 6, which hash value ha(z) occurs least often? Show the distribution of the possible r over the addresses of the hash table.
Consider the universal hash function ha(x) = ((a * z)%p)%s for p = 7 and 8-4; e the random parameter a was...
What are the absolute maximum/minimum of fon the given interval? S (z) = -2- 32 +92 + 12 on [-2.21 The absolute masimumis The absolute minimumis
Use spherical coordinates to find the volume of the region outside the cone pon/4 and inside the sphere p= 3 cos p. The volume is
A buffer solution is made using a weak acid, HA HA , that has a p K a pKa of 6 6 . If the pH of the buffer is 5 5 , what is the ratio of [ A − ] [A−] to [ HA ] [HA] ?
A monoprotic weak acid (HA) has a p?a value of 3.004. Calculate the fraction of HA in each of its forms ( HA, A− ) at pH 4.159 . ?HA= ?A−= What is the quotient [A−][HA] at pH 4.159 ? [A−]/[HA]=
(IV) Consider the following block diagram W (s) Y (s) E(s) C1 (s) R (s) P (s) + C2 (s) N (s) The transfer function from N to Y is: C1(s)C2(s)P(s) 1+C1(s)C2(s)P(s) (A) P(s) 1+C1 (s)C2(s)P(s) -C2(s) P(s) (C) 1+C1(s)C2(s)P(s) (B) -C1(s)C2(s)P(s) 1+C1(s)C2(s)P(s) (D)
.4.5 프 Assigned Media A body moves on a coordinate line such that it has a position s fon the interval 1sts2 with s in meters and t in seconds. a position s f) on the interval a Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval c. When, if ever, during the interval does the body change direction?
.4.5 프 Assigned Media A...
f(x)=-X3 –38+9X+12 [2.2] What are the absolute maximum/minimum of fon the given interval? s (z) = -2- 32° +92 + 12 on (-2.21 The absolute maximum is The absolute minimum is
Cons idet the characteris tic equafion fon Cons idesthe root locus for oe ks varioos values of Consider the range sps20 For N-L00l value« of p in this ranq e sketch te woot locu s How does the root locus change as p charges I particular what harpens to fhe asy ptofe inTersection As a fiaal case let tp) disappear.Ths ts equivalent- ta (etting-P→ce.