There are 100 people in a room, all born in the same year in the same 30 day month. What is the minimum number of people who share a birthday.

Q: 15.Identify the type of answer that results from each operation. If the operation is not possible,…

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Q: A rancher has 800 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Given that the total Fence is 800 feet To find the dimensions of the enclosed area that maximize the…

Q: Q7. Find the Fourier series of the signal f(t), with period 27, given on the interval [-, π] by…

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Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: ² = 3x² + 3y², x = 0, y = 0, z = 2

A: Solution

Q: 5. The average cost of mini protein bars is between $30 and $60. What is the range of the number of…

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Q: 2. Let f(x,y) = + (y + 2)² + 2 a) Sketch the level curve for f(x,y) = 6. (Ch. 10.5, 12.1) b) Find…

A: Given function is fx,y=x24+(y+2)2+2 Solution a) Level curve for fx,y=6 is an ellipse x242+y+224=1

Q: Question 2 For each of the following sets S, give numbers a € R and r> 0, if applicable, such that S…

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Q: Q1: Mention the required steps to get the following: a) Merge the first file (A) with the second…

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Q: Q3 (a) (b) (c) Given the function: f(t) = {4-t 0<t <2 2 <t<4 Show whether the function f(t) is even,…

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Q: 3. The graph below represents f(x). a) State the number of stationary points end label them…

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

Q: For the following systems of equations: 1. .) Write the system as Ax = b and form the augmented…

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

Q: l. Multiple Choice Let f(x, y) = = x - y² and consider the level curve f(x, y) = 0. What is the…

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Q: G O Find out the center/bi-center of the following tree while showing all the steps. E O A B F C O

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Q: 5. Let f(x,y) = x² + xy + y² be a function on the domain D = {(x,y) = R²: x2 + y² ≤8 and y ≥ 9}. a)…

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Q: PART II I. Represent the simple propositions with the capital letters P, Q, or R, then express each…

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Q: 5.2 Any lower Lebesgue-Darboux sum does not exceed any upper Lebesgue-Darboux sum i.e. for any two…

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Q: A single-input, single-output system has the state variable representation a. O b. O C. O d. T(S)…

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Q: 5. Apply the Euler-Cauchy method with step length h to the problem y'=-y, y(0)=1 h = 0.1

A: Given differential equation y'=-y=fx,y (say)  Initial condition,y0=1 So, x0=0,y0=1 step length h=0.1…

Q: What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

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Q: Find the volume of the truncated cone generated by the rotation around ox of the area bounded by…

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Q: Problem 2 (A) Show that y⚫T = Tv if and only if I is symmetric (B) Show that vx E = Exy where E is…

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Q: minimize subject to (xyz)-¹ x + 2y + 2z ≤ 72 x, y, z 20

A: Since you have posted multiple questions, we will solve only the first question for you.

Q: 24U₂ Use linearization (either with the Jacobian matrix or a change of variables defined by a…

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Q: Find the Laplace transform of following functions (a) t³eºt (b) 1-e2t t

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Q: Let R be a ring and S be a subring of R with OS, OR being the zero elements in S, R respectively.…

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Q: Draw cobweb diagram for the recurrence relations. Xn 1.5xn-1-2

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Q: for the graph determine between the vertices and the excentricity 40

A: To determine the distance between two vertices and define the eccentricity of the graph.

Q: Find the approximate root of function f (x) = 0.48x³ - 2.7x - 5.36 by using the newton raphson…

A: Given function fx=0.48x3-2.7x-5.36             ……………………1 Initial guess x0=3.5

Q: Exercise 1.14. Show that the series ∞ Σ n=1 converges absolutely for |z| < 1. 12+ 2z10n 272 5zn² −…

A: Given: The series is ∑n=1∞zn212+2z10n-5zn2-3z3+2z10n2 . To prove: The given series converges…

Q: Solve the following difference equations: (a) x₁+1 = √x +3 (b) Xt+1=-3x+4

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Q: (b) [₁³ sin (π(x – 2y)²) dA, where T is the triangle bounded by x – 2y = 1, y = −3x and 5y = -x.

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Q: k=1 Find the 15) 18 k=0 convergence se- (-1)kk k(k+1)

A: You are not mention which question I have to solve. so I will solve 1st question if you want…

Q: Determine it each of the following is •solutely Convergent, Conditionally convergent for divergent.…

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Q: 5x²+2y²-3a²-z=0 and 2x² +5y²-4a² + z = 0 Determine the moment of inertia about the Oz-axis of the…

A: Given: The elliptical paraboloids are 5x2 + 2y2 - 3a2 - z = 0 and 2x2 + 5y2 - 4a2 + z = 0. To find:…

Q: Question 7: Consider the statement form (PIQ) IR Now, find a restricted statement form logically…

A: Given- Consider the statement form P ↓ Q ↓ R To find- Find a restricted statement form logically…

Q: 1) Use forward and backward difference approximations with error of O(h²) and a centered difference…

A: Given function  fx = x2 e-3x7 Step size h =0.2

Q: What is the slope of f(x)=x/7-4

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Q: 3 Solve dx₁ de dx2 dt = the 2x1 1 following 5x2 -cost x12x2 + sint system. a) by using the method…

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Q: Let B={1, x, x², x³} be a basis for P3, and let P={P₁, P2, P3, P4} be the set of polynomials given…

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Q: Q2. Obtain the Power Series solution of the differential equation y"-xy'+y=0.

A: Given : y"-xy'+y=0 To Find : Power series solution of differential equation

Q: Q2. Considering the initial approximation x = 1 for the root of f(x)=2(x² − 4 ) = 0, (a) Calculate…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: i need the answer quickly Q6: Find the inverse F.T of the : Ans. f(t) = e(t-2) u(t) Ans. h(t) =…

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

Q: Evaluate П+24 dx

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Q: Q3. Given the following table find the value of y when x = 3 by interpolation using Newton's Divided…

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Q: Write out an expression for a set (in set notation) that includes all divisible by three and all…

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Q: a finite dimensional normed linear space X, any subset M is compact if and only if M is closed and…

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Q: I B 14- 13 -15- 127 11. F E Apply the sorted edges algorithm to the graph above. Give your answer as…

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Q: Let po and p₁ be the polynomials in P2 given below, and let the inner product for P2 be given by…

A: Given: For any polynomials p, q∈ℙ2 the inner product of p, q is given by, p, q=p-2p-2+p0p0+p2p2…

Q: Calculate the volume generated by the circle x^2 + y^2 -4x=-3 that revolves around ox

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