The number of ways to distribute 9 toys to 4 children is that: The youngest child receives 3 toys and every other child receives 2 toys O 7560 O 7506 O 7650

Q: 2. Given the in tercepts:(0,-15) and (5,0)

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Q: In Exercises 11 and 12, part of the multiplication table for the group G = {a, b, c, d} is given. In...

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Q: Let [6 A = s -6 -4) --- [37 [a Define the linear transformation T : R³ → R² by T(7) = Ax, and let i ...

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Q: Write the form of the partial fraction 5х -7 x²(x² + 1) decomposition: A B + C X' + 1 A + Сх + D + x...

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Q: evaluate x tr20 +xt/2 /x+)=3, dekimnt the vahie of d: Bocs C3 x?+ Ax † 3y 0, have a sclution if yes ...

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Q: variance of [

A: Given,       6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25

Q: Test for convergence the series 00 3.6.9 ... 3n (i) E 7.10.13... (3n + 4) " (x> 0), n = 1 0. 2.4.6 ....

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Q: The residual of the third order Maclaurin expansion of the function f(x) = 1/(1 + sin(x)) is %3D Sel...

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Q: (b) Let F be a non-empty subset of R. Prove that if OF C F, then F is closed.

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Q: b. Find r with 0 <r< 601 such that 257 = r mod 601. c. Find the last two digits of 3140 (when expres...

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: For |2| → o in a wedge {z E C: -a < Arg z < B}, with a, ß e [0, 7), show that: (a) O(f(2))+ o(f (2))...

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Q: Eratosthene5-Legendre

A: It is problem of analytic number theory

Q: (a) y-y-0 K0)-1 (b) +V-2y-3t (0) 0

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Q: A magazine company has the capacity to print and sell 200,000 magazines per month. It sells each mag...

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Q: A rectangle has vertices at (3, 10), (7, 10), (3, 8) and (7, 8). Use Pappus' Theorem to find the vol...

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Q: 6. Translate each of the following statements into English, where the domain for each variable consi...

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Q: Theorem 7. Let T be a linear transformnation from a vector space U (F) into a vector space V (F). Th...

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Q: 16. Evaluate f(x) = -2x-5 for x = -5. %3D

A: # we are entitled to solve one question at a time please resubmit the other question if you wish to ...

Q: Preference 15 13 2 30 10 TLHHT The university administration has asked a group of student leaders to...

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Q: A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices...

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Q: Given f(x) = 2x – 5 & g(x) = 3x + 4. solve for fea(r) - %3D

A: if f : A → B and g : C → Dthen f∘g(x) is defined if D ⊆ A and f ∘ g : C  → B 

Q: Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

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Q: The determinant of the matrix M is shown below is 1 2 0 3 4 0 0 0 0 0 2 M = 4 3 1

A: Solution:-

Q: (a) y" – 4y" + y' + 6y = 0. (b) y" – y" + 2y' = 0.

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: dx Solve the differential equation dt

A: Given,         dxdt-9x=sinh(2t), x(0)=1

Q: The homogeneous equation x1 + 2x2 x3 = 0 defines a null space U in R. Write the above linear system ...

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Q: Find the area of the region enclosed by the curves: y = e2", y = et", æ = 1

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Q: Kim throws a ball against a wall at time t = 0 At time t = 1 , it hits the wall and then at time t =...

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Q: 3) If dla + b, then dla or d\b. a) True b) False D a) True O b) False

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Q: Find the Laplace Transform 2.f(t)=4sinh3t -18e-5t

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Q: T 1 T. T F T 3 T F F 4 F T F T F T D7 F F F F F 8

A: Here we have to find only the truth table for the column 4. ~q means not q i.e. if q is true then ~q...

Q: Jose has $4,800 to invest in a saving account. He receives a steady interest rate of 3.35% compunded...

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Q: Prove that every odd integer is a difference of two squares. For example, 7 42 - 32. Give a direct p...

A: Here in this given problem we have to prove that every odd integer is a difference of two squares.

Q: Which of the following integrals represents the volume of the solid of revolution formed by revolvin...

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Q: Solve the following system of equations y + x² –x = 0 x²+ 2xy+y = 0 Initial guesses Xo = 1, yo = 1 P...

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Q: QUESTION 9 By using the principle of mathematical induction, prove that n (3n - 1) 1+4+7+.......+ (3...

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Q: Find the specified limit. x',x -1 lim f(x) - ? 2. Find the limit (if any) Jx-5 lim x-25 x- 25

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Q: What is the type of the following function: f(x) = r' +5 where the domain is Z and the codomain is Z

A: Let f(x) = f(y) for two integers x and y.     =&gt; x3 + 5 = y3 + 5    =&gt; x3 = y3     =&gt; (x - ...

Q: in the rang xis by 360

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Q: f(x) = -5x6 + 8X5 + 9X4 -10X3 +2X2 -22X +45

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Q: Solve the following non-linear system of equations: 1 + y? + = 6 1² - y + 2: = 2 21 + y - 22 = 3

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Q: (-4)+(-1)

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Q: Follow the steps to find the general solution to y+ 9ty = t'e. Identify the integrating factor, i(t)...

A:   The given differential equation is as below. y'+9ty = t2e−9t22  

Q: Q2. Consider the function xy+ x'y-xy a. Find the critical points of f(x,y) b. Write the Hessian matr...

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