EXample (H-): let XaulY ae C.g. VS waith joint. →くKく4

Q: 2x In -x = 0 =72xIn (x)Texco ーフ-2x1n Cx)メ=0 -> explain in detaill

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Q: X -2 -1 0 f(x) 50 10 2

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Q: you guys got different answers for question 5 part 2, which one is it?

A: The 2nd answer is correct. To see this I upload my solution as 2nd answer is not clearly visible.

Q: Construct a formal proof of validity

A: We prove the given argument by using rules of inference.

Q: (6. let aiseendn (coreen + cotu) == f(n) + C Of (eseen cot use su asien-cotu) ² f(n) = ? = (cosecn+…

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Q: Suppose X~U(0,8).  Find P(x < 5).  Enter the exact numeric value.

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Q: 11. Find MZGJK. G_(5x + 8)° H K (7x - 16)

A: Use vertically opposite angles are equal and also use the property of rectangle as all angles are 90…

Q: erf (-∞)= -1 or e dt=-)

A: we want tomprove that 2π∫0-∞e-t2 dt =-1 we use gamma integral Γ(n)=∫0∞ e-t tn-1 dtand Γ(1/2)=π

Q: why we claim for all n>=3 here?

A: why we claim for all n&gt;=3 here?

Q: 2 (and tige)+ QUA 10121 (K²³-24^²) du + 2nydy = 0 [Ans: ntly //^)=e] C] (este wh(eren) sh((E Nb (…

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Q: нас 2 obtain the Fis for f(x)= X-X² in the interval [-^, ^] ? Solution ht! 2 ans : = = =+ 25 (1452…

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Q: Argue that ∑n j = 0 ( n j ) p^j (1-p)^(n-j)= 1, for any 0≤p≤1. (Use 0^0≡1.)

A: We have to show that sum of binomial distribution probability mass function is equal to 1.

Q: 5. Wohat is the time complysily of the flloing Tecurence latian Te) - 8T4) + QL) , { f n² >rl M (거 à…

A: Given,  Tn=8Tn/2+⊝1, if n2&gt;MM, if n2≤M where M is independent of n.

Q: Suppose X ~ N ( u=1, o=2) a) P( X&lt; 1.37) b) P( X &gt;1.37) c) P(X &lt; -1.37) d) P(X = -1.37) e)…

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Q: (a) Find the probability distribution for the number of times 3 is rolled. X 0 1 2 3 P(x) 0.4096…

A: Followings are the Explanation of the question

Q: cos cos 21/3

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Q: Question 13 What is the truth value of the compound proposition if p and q are true statements and r…

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: EXaomple (H-W): let X aned Y ae C..vs uith joint. →くKC4 <s O Finol the Value oft- @ Fined…

A: Given: The joint probability density function is:…

Q: a each of the Find P Gw aned finel the Domain and Range of PEJ. P)=x5 メ2つ Plx) = メ+3 メー2 Vx'-3 P«)=…

A: To find inverse of a function replace all x with y and y with x.and then solve for y

Q: 2x²+4X+10 2 2- x Ing dx

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Q: Let yk = k", where n is a positive integer; then Ak" = (k + 1)" – k" %3D (1.112) n = nk"-1 kn~2…

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Q: zdz ,Z = (2z+1)3 For f O z = u^(4/3) O z = u^(1/3) O z = u^3 O None of the choices O O

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Q: 22 Suffosethent fco)-cosg()-e unedicalafforonimatson fncb f60-8),9G0) fox the Values ofhas…

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Q: Simplify (m^(wv-m)) to -mv-w 1. Select a law from the right to apply -(m^(wv-m))

A: (  Applied distributive law:    )…

Q: 2. y = Vg(h(x)) (g) cha))た. A'(x)'a 1,

A: To find the derivative y=√(g(h(x))

Q: Prove using rules of inference that: (P→ ~Q) ^ (Q→~P) = ~PV ~ Q

A: We are given the logic problem and we have to prove the given symbolic statement.

Q: Prove that E (2s+l)=3n" whenever 'nisa psitre r'nisa pisitive intger. 32.

A: Given that,      ∑j=n2n-12j+1=3n2, n is a positive integer

Q: G. Below is a formal proof of validity for the indicated argument. State the justification for each…

A: The rules that are used in the proof are rules of inference.

Q: Two number cubes, each with faces numbered 1 to 6, will be tossed at the same time. Use this…

A: Each cube has 6 sides. So when 2 cubes are tossed then the total number of outcomes= 62=36   We can…

Q: let foo- X-1 when x+i- Féndavalde of fethat calil makefis continueus at xe

A: For a function f(x) to be continuous at x = a the condition is:

Q: Compute *In (9)/5 Jo e5x (e5x + 8)5 dx.

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Q: くこう×50'カラトラスで16x)8 ट 人+メxe-xE =(1x)5=2 20 メピ %3D IN on absolute min 4 PuI So ing the extreme value…

A: Solve the following

Q: Wate par tial dariptive at finction al three varabler bや

A: To find the partial derivative at (x0 ,y0 ,z0 ) .

Q: Evaluate: / yº sech(eThy ) tanh (e "hy ) dy 7Iny -mch(v^) + C None -ech"(,?) + C

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Q: Let X~Bin(6,0.6), then P(X >4|X >3) is O a. 0.663 O b. 0.429 O c. 0.221 O d. 0.7 O e. 0.399

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Q: Which quantification proves a nonnegative number minus a negative number is positive? A Vxay(x 0) ^…

A: A ) ∀ x ∃ y(x&lt;y)

Q: I, Fund warginal X warginal h(x) alistribution for 2. Fud conditimal pf Ty) Estmate 4. Estuale…

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Q: 2x-7 x+1 + x - 3 f lelog MATH is an isosceles trapezo and m/H= (x + 3)°, find mzt

A: