A function randomly generates 4-digit decimal numbers in the range of 0000 to 9999 (all have the same chance) what is the probability that there will be a repeated digit? E.g; 1891 (1 is repeated), or 2272 (2 is repeated 3x)

Q: 1. Let X be a set and f: X X be a function. Suppose that fofof is an injection. Prove that f must be…

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Q: Daniel is creating a rectangular garden in his backyard. The length of the garden is 14 feet. The…

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Q: 2. Assume that any distance of 100.00 m. can be taped with an error of ±0.02 m if a certain ing…

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Q: Find the bounded solution of au Əx = 2 อน at + U_if_U(x, 0) = 6e-³x. 1

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Q: Determine the Fourier series expansion for f(x): f(x) = x, XER, -T≤x≤T f(x) = f(x + 2π)

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Q: Compute the mean curvature for u = 1 and v= 0.

A: Given,           X(u, v)=u2-cosv, u+sin t, cosv To find the mean curvature for u=1, and v=0.

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Q: In this problem, x = c₂ cos(t) + c₂ sin(t) is a two-parameter family of solutions of the…

A: For any queries please let me know through comments. I will try to reply ASAP! Please like if…

Q: Determine whether each hypothesis is true from the given information. Write Yes or No If A, B, C,…

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Q: Please teach how to solve not just solve A matrix is idempotent if, when multiplied by itself it…

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Q: Use Gassian elimination method with back Substitution to Salve the given system of linear equations.…

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Q: Let G = Z8 x Z6, and consider the subgroups H = {(0, 0), (4, 0), (0, 3), (4,3)} and K = ((2, 2)).…

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Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: Find (V.VxF), where F(x, y, z) = ln xî+exyzj+tan-¹ k.

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Q: 1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface xyz = k…

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Q: (b) Find the volume under the paraboloid z=x²+² above the triangle enclosed by the lines y=x, x=0…

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Q: previous case, we can write where Hence, for z # 0, f(z+h)-f(z) -ΣnCnz"-1 =ΣCnbn, h n=0 n=2 If z =…

A: Given information: fz+h-fzh-∑n=0∞nCnzn-1=∑n=2∞Cnbnwhere,bn=∑k=2nnkhk-1zn-k Also, nk=nn-1 · · ·…

Q: Example 2.7: stable, unstable, and semi-stable limit cycles Consider the following nonlinear systems…

A: Solution a: Given nonlinear system is x1'=x2-x1x12+x22-1x2'=-x1-x2x12+x22-1 We have…

Q: 2) Show that X₁ = Xo {1+¹*exp(-)} -DC₁ = v(C₁-Cs). satisfies the steady state growth concentration…

A: Given  -DCL'=vCL-CS

Q: Consider the following system of linear equations to answer the below questions: 6x₁ + 7x₂ + 2x3 = 5…

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Q: Factorization of Polynomials over a Field Determine whether or not the polynomial 2x³ +3x²-7x-5 is…

A: Given : 2x3+3x2-7x-5 To check  (a) 2x3+3x2-7x-5 is reducible or not in Z11x

Q: Question 8: (8.1) Let z = Z2 where Z₁ = tan 0 + i and Z₂ = Z₁. Find an expression for z" with n € N.…

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Q: Solve the following recurrence relation 0 (1) if n = 1 T (²) + + 0(1)if n > 1 T(n)=

A: Introduction: Solving a recurrence relation is to determine the general definition of the sequence.…

Q: 2. If one denotes the population of a planet by E(t) per year t, then the population growth rate…

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Q: Let (an), (bn) and (cn) be three bounded sequences with an ≤ bn ≤ Cn for each n. Prove that if lim…

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Q: Question 7 For the line 3x - y = 12, complete the following ordered pair so that it is a point on…

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Q: Please teach how to solve not just solve Consider the following matrices: ANXK Вкхм XMX1 YNX1 Zxx1…

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Q: The following pattern is established involving terms of the Fibonacci sequence. Use inductive…

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Q: lim n→∞ n² n² 9n² +10n +3 = 9.

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Q: Use the graph of f(x) = x² below to find a number & such that ² Round your answer to four decimal…

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Q: M + N = {m+n : m € M and n € N}. Prove that for all n € N, the number sup(M + N) − n is an upper…

A: Given:   If M and N are both bounded subsets of R. M+N :=m+n : m∈M  and  n∈N

Q: 4. Miranda bought a square frame that has an area of 30 square inches. What is the approximate side…

A: Solution :  Given that  Area of square frame = 30 square inches

Q: au Calculate the partial derivatives and using implicit differentiation of (TU-V)² In (W – UV) = ln…

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Q: Solve the given differential equation by separation of variables. dP = p-p² dt

A: The given differential equation is: dPdt=P-P2 We have to solve the given differential equation using…

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A: For the given points on the plane the cross product AB→ ×AC → = -6i-51j-21k or can be written as…

Q: Find a way of accurately computing f(x): x = 0. e² -COS X X to avoid loss of significance n

A: HINT :  USING L-HOOPITAL RULE (differentiate numerator and denominator)

Q: Company H pays P6,500 per month plus a monthly bonus of P500 per month. However, the bonus will be…

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Q: 1 (b) The mail bag for Amy's morning route weighs 9 66 The mail bag for her afternoon route weighs…

A: Sol:- The mail bag for Amy's morning route weigh =925=475=9.4The mail bag for Amy's afternoon route…

Q: e* -cos x 3. Find a way of accurately computing f(x)=- x = 0. to avoid loss of significance near 4.…

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Q: ose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have…

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Q: Let M and N be nonempty bounded subsets of R and let M + N := {m + n : m ∈ M and n ∈ N} . Prove that…

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Q: Calculate x(t) when r(t) = (6t¯¹, 1, 6t)

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Q: 3. Find the maximum and minimum values of f(x, y) = x² − 3xy +5y² and the locations where they occur…

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