Evaluate 9! 10! а. 6! - 3! b. с. 4!(10-4 )! 9! 10!

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A: Here given that A is 17×17 matrix and A29=0.

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Q: (Representing subsets of N as infinite strings) Consider the set B = {f C N x {0, 1}|f : N → {0, 1}…

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A: Get the solution: x^2 dy/dx - y^2 = 2xy

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Q: Suppose that f : A → B is a function, viewed as a relation (set of ordered pairs). Let f* denote the…

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Q: [n' 2 32. For every integer n, SIN 3

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Q: Change from rectangular to cylindrical coordinates. (a) (0, -4, 5) (r, 0, z) = (b) (-7, 7/3, 3) (r,…

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Q: 15. Let I be an interval. Prove that if f is differentiable on I and if the derivative f' is bounded…

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Q: Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the…

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Q: Find the solution. dy + Sy =2x?y4 dr A 13 13 23 © »- a 15

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Q: (c) Find the inverse z-transform of Y(z) = (z-1)(z+3) * [Hint: Express Y/z in partial fractions]

A: Inverse Z transform

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Q: Which of the following is a discrete random variable O length of time spent watching movies O volume…

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Q: Consider the plane, X, in R given by the vector equation: x(s, t) = (1, –1, 2) + s(1, 0, 1) + t(1,…

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Q: Find the solution. 2y dy =x?y²sinx dx

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Q: t2 In³ (t) dt 3 G =

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Q: 19. Prove that Edin H(d) log" d = 0 if m 1 and n has more than m distinct prime factors. (Hint: use…

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Q: Find the solution. dx d?x dx -2- 2- 0 di? dt 21 A y = c,+c,e'+c,e-2 y = c,t+ce+ce - 3t 21 -21 y =…

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Q: Find the solution. y- ty = ty A y- (1-a) B y? - (1-ce') © y - (1-c) D O y-- (1-ce

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Q: 2 show that %3D

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Q: Z,Z-Z2 If = k, (Z1, z2 # 0) then (A) for k = 0, locus of z is a straight line (C) for k = 1, z…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Let F(n) = Ea2n P(d). Show that if F(1) = 1 and that if n > 1 factors as %3D am then la:/2] a1 F(n)…

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Q: 3. Solve the initial value problem by the method of Laplace transforms: y" + 225y = 306(t – 7), y(0)…

A: Some of the properties of Laplace transform…

Q: Find the solution. y'- ty = ty A y - (1-c') ® y? - (1-e") © y- (1-) O y-- (1-ce)

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Q: Draw two graphs (which type?) for the following data, one that makes it look like gun crimes are…

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Q: Determine one real root of h (x) = ln( = -3 between -0.9 and -0.2 using the Bisection Method.…

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Q: • Problem 4: Suppose that T and T are n-dimensional vector spaces such that T" is the dual of T. Let…

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Q: Describe the type of intersection that exists, then, determine the intersection.

A: First find row reduced eclone form then calculate intersection.

Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: Graphs b. K1 d K3 K2 Hamilton path for K1: Hamilton path for K2: Hamilton path for K3: •.

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Q: Using leg endr polynomials Find aquadratic /east - squares approximation tof (x)= cos hu)

A: Given,f(x)=cos h(x)To find: A quadratic least square approximation of f(x).

Q: Q2. Solve the Bernoulli IVP, x²y – 2xy = 3y*, y(1)

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Q: Solve the following heat flow problem: Ut = 3uxx, 0< x < TT, 0<t <∞ u(0, t) = u(n, t) = 0,0 < t <0…

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Q: 16. prove that Edn 2(d) = 2u(n). 17. prove that Edn H(n/d)T(d) = 1 and Edn H(n/d)o(d) = n for all n,…

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Q: 8. Solve the following congruences. a. 5x + 3 = 13 (mod 14) b. 4x = 20 (mod 8)

A: 8.(a) 5x + 3 = 13 (mod 14)           =&gt; 5x = 13 - 3 (mod 14)                      = 10 (mod 14)…

Q: ind the volume

A: Given,

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Q: 2) Show that 2m +1 m P(x) m +1 -xP (x) m+1 (x)F

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Q: et f(z, y) = for (z, y) # (0,0). Find the level curves of 2 + y²

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Q: Prove the following theorems using direct proof, indirect proof(contradiction, contrapositive),…

A: We have to prove or disprove the following statements : (i) For every pair of positive real numbers…