(b) Determine the p.m.f. or p.d.f. of Y, whichever is appropriate. (c) Compute P{Y = 1/2}.

Q: By using Lagrange interpolation, evaluate (3) if f(0) = 2, ƒ(1) =1 and f(4) = 4. 5.

A:

Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

Q: Find the thos of P(x) = x4 -81

A: To find the zeroes of given polynomial

Q: f(x)= k(x² + 4), x = 0,1,2,3 Find p (x< 2).

A: Solution: Given : f(x)=k(x2+4),    x=0,1,2,3

Q: [(√x-3) dx

A:

Q: power  (x-3) =120.  Find x.

A: Given query is to find the value of x.

Q: Find Ay for the given values of x1 and x2. 3x-7 :X= 2, Ax = 0.1 X-1

A:

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: Let g(y)= - y² + 5y +6. Find g(10). g(10) = (Simplify your answer. Type an integer or a fraction.)

A:

Q: 18&19

A: 18) given that fx=x2, gx=x+6find gf019)given that fx=x2 and gx=12x+3find gf-1

Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

A:

Q: 2 [+√²-1)dx (4) »

A:

Q: simplifies to x =________ .

A: Given: x=--4±-42-41221 for finding value of x, we simplify given expression

Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

Q: What is the domain for f (æ) = Væ – 3.

A: Given fx=x-3

Q: If A = (the first picture), with det(A) = 2/9. Find det (6B-1) when B = (the second picture)

A:

Q: (27) Let X = P(2) and )E(5-5x) finc

A: Given X≈Pλ That is, EX=λ

Q: 3. 2. For f(x) = Vx and g(x) = , find the following: х-6 %3D the a) (f • g)(x) c) The domain of each…

A: (d) (f°g)(9) = 1   The detailed solution is as follows below:

Q: (6) L {(1+ te-t)a}.

A:

Q: EX:- Find the F.I. of (f(t)) sgn (t) =

A: ft= sgntft=1if x&gt;00if x=0-1if x&lt;0 The signum function can also be represented as…

Q: Differentiate the following function. 6x2 +5 y= x2 +1

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Q: evalute the mclaurins expanion and evaluate from 3 to 6 6 decimal places

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Q: 3. Find f(t) given. 3 F (S) = 4(s+5) A. +3p St est C. 3 -5t D. I 4 eist

A:

Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: d. Compute E(X) and Var(X).

A:

Q: Suppose that Pr[A]=8/13, Pr[A|B]=5/7, and Pr[B|A]=5/8. Find Pr[A′|B′]

A:

Q: M- 03. Determine the real root of f(x) = -26 + 85x – 91x? + 44x – 8x* + xS: a. Graphically. b. Using…

A: The bisection method performs iterations on the midpoint of an interval to approximate the root of…

Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given function is: fx=3x3,x≤1ax+5,x&gt;1 We know that a function is continuous at any point x=c if,…

Q: Find the domains of the following functions. (-1)7–1 п5т n=1

A:

Q: Explain why each of the following expressions is written incorrectly. E)(Q(x) ^ P(x) b. (Vy)(Q(y)…

A:

Q: Q.2 Find whether the following signal is odd function? f(x) = 5x³ 6(x4-4) even or

A: