Suppose that a > 0 is a positive integer, and n > a. How many lattice paths are there from (0, 0) to (n, n) that do not go above the line y = x + a? hint: Catalan Number

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Q: 2. Solve: 3 -X-2 x²- 11 1 X x=²=₂+x²= 1² and state any NPV's. X-2 X+1

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A: Introduction: It is required to find the probability mass function of pmf of X.

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Q: Let a, b, c be three consecutive odd nubmers, with a < b < c. What is the  value of a2−2b2+c2?

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Q: Find the set of real values of x for which a) > 3 by/2x- 3/ 0 13 Solve the inequality:x(x² – 6) >…

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Q: Q2) Fit a nonlinear form as follows to the x and y values y = a₁ + ² X X 2 3 4 5 y 22.7 23.7 24.7…

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Q: 13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical…

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Q: section 2-4. In a math 105 class of 32 students, a survey showed that 20 students used the ALEKS…

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Q: 7) State the maximum and minimum values if they exist. P = 2x + 7y [4x-2y ≤8 {x≥1 [0sy 4

A: Given information P=2x+7y subject to,  4x-2y≤8          x≥1   0≤y≤4.

Q: 5. a) Let V₁ = H b) Let V₁ = 11 ----- = V3 Does (V1, V2, V3} span R¹? Why or why not? Does (V₁, V2,…

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Q: Uist all subsets of the set C-(1, 2, 3).

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Q: 20232023 then how many 2 If x² - y² = 2023 pair of x,y where x, y ≤ N

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Q: 27) (x- 1)(x + 1) s0 A) {1} B) [-1, 1] C) (-1, 1) D) (-, -1]U[1, 0)

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Here R^3 - {(0,0,0)}. please proof this using submersion. thank you.

A: Given: R3=(0,0,0) To find: The set M=(x,y,z)∈R3:x2+2y2+z2=4xyz a submanifold of R3.

Q: 3 1 Let a = 0 |, b -1, and c = |-2|. Justify your answers using proper mathematical notation. 2 5 a)…

A: Given, a=30-1, b=1-12, c=-1-25. a) To check if v=51-4 belong to the span.  This is same as checking…

Q: Hiw.sLetAzi+j-2K,b=-i-k and c=zi+uj-zk,finds t Ax(B+C)- 3 CA-B)xC s-(AXB)ec 2- A (2B-c) 4-2Ax 3B 6-…

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Q: Let S = {-5,-1,0,2/3,5/6,1,sqrt(6),4,5} Determine which elements of S satisfy the inequality.…

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Q: mutually disjoint? Why or why not?

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Q: Replacement Lab-24SU-MAT1 X 1921. Quizzes-24SU-MAT110-N851, X +…

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Q: Exercise 8. [1, 2.2.10] Show that F₂Q1v₂ [c] iff a Vv₂Qcv₂ Here Q is a two-place predicate symbol…

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Q: Exercise 9.3.9. To test whether the number n is a prime, you divide n all the integers 1, 2, 3,...…

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Q: If k k k = 2, and x = integer, which statement is NEVER true about x? %3D %3! es 4) A) x is 0 B) x…

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Q: 16. Find the set of real values of x for which:/3 - 2x/S/x + 4/. N.Find the set of values of x for…

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Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

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Q: a) b) Negate and simplify the following statement in symbolic form. *xx.y [((x>0)^(y <0))-(xy <0)]…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…