52 students are taking Filipino subject 63 are taking Math subject 25 are taking NSTP subject 24 are taking Math and Filipino 11 are taking Math and NSTP 9 are taking Filipino and NSTP 4 are having all three

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Q: Find the equation of hyperbola having foci S(2, 1) and S(10, 1) and a straight line x + y - 9 = 0 as…

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Q: Use mathematical induction on integer nn to prove each of the following statements. (a)…

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Q: find the comopsition seriesof G D12 = (a, b: a = 1,6² = 1, (ab)² = 1)

A: Given,           D12=a, b : a6=1, b=1, (ab)2=1.

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Q: Suppose that Pk k+∞|PK|| Calculate lim 18 PL = √(2)(1.5)4 [2] 35+ [1] +3(-0.5)k You can use an…

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Q: A, B & C are subsets of U A = (1, 2, 5, 6, 9, 10} B = (2, 4, 6, 8, 10} C=(3, 4, 7, 8) Create a Venn…

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Q: Definition: The tensor product of matrices Amxn and Bpxq is denoted by A & B and is defined to be…

A: As per the question we are given four matrices as : A ∈ Cm×n  ,  B ∈ Cp×q  ,  C ∈ Cm×q  ,  X ∈ Cn×p…

Q: Let F be a field. Show that there exists a, b ∈ F with the property that x^2 + x + 1 divides x^2021…

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Q: The formula used to calculate a large-sample confidence interval for p is p(1-P) n (b) 90% 1.65 What…

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Q: Q3. For the following matrices find x, y, z, and w, then check your solution. x 2y 9 3x 22 4w] 6…

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Q: 1. find the convolution of II 2 *II Π 2

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Q: + 2dmax + a Σ; L*(N (j)). α

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Q: Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1…

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Q: In a triangle PQR, S and T are points on QR and PR, respectively, such that QS=3SR and PT = 4TR. Let…

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Q: How many milliequivalents of potassium chloride (MW: 74.5) are represented in a 5 ml ampoule…

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Q: 9.  Determine the convergence of the integral by comparison. If the integral converges, find the…

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Q: Transform the following equation of ellipse in standard form. 36x² - y² +216x-4y+292 = 0

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Q: Question 7 Let be a total order on N such that for all neN: n < n + 1. Show that <=<: for all n, m E…

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Q: Use the Labis transform to solve the following initial value problem +13-0 a Using for the Laplace…

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Q: 1. Sketch the unit ball of the R² When it is condowed with each of the following norms: bee ||'117,…

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Q: Solve the differential equation below. You may choose among the following techniques: First Order…

A: Consider the provided D.E, 2yd2ydx2-1=dydx2;  y0=2; y'0=-1 It is second order nonlinear ordinary…

Q: Consider the points P(-2,5), Q(10, -11), and R(12, y) in the Cartesian plane. a. Find the standard…

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Q: Pls help ill rate with solution pls thank you

A: Given: The sequence is xn=1,-1,3,5,0,6,1,2. To find: DFT of the given sequence.

Q: 88. π/2 ≤ 0 ≤ π/2,0 ≤ r ≤ 3,0 ≤ z ≤r cos 0

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Q: 2.42 Given vector A and second-order tensors S and T with the following components: 8-1 5 4 -7 8…

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Q: Find all irreducible polynomials in Z_2[x] of degree less than or equal to 3.

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Q: Please find two values of m function a solution so that the y=x is to the m following differential…

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Q: 4 8) yszx-4 牛

A: We have y≤43x-4 Consider the equality y=43x-4 Now,  x 0 3 y -4 0 Now, we plot the points…

Q: Let A(t) = f(t)i + f₂(1) and B(t) = g₁(t)i + g₂(t)},t = [0, 1], where f₁,2, 8₁, 82 are continuous…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Let p represent the simple statement "The temperature is above 80°," q represent "We finished…

A: Solution: p : The temperature is above 80° q : We finished working r : We go to the pool

Q: n Prove that & (31²-2₁) = 2n³ tn ²-n 2=1 2 Goal: 2 (k+1) ³) + (1+₁)² = (K+1) 2

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Q: use laplace transform to solve this jual ta ə§² дио ər = 24 + ६ > U₁(§,0) = 0, U₁(0₁7) = 0,…

A: Given  partial differential equation ∂u0∂τ=∂u0∂ξ+∂2u0∂ξ2 Initial condition  u0ξ,0=0, u00,τ=0,…

Q: (e) f is continuous and closed but not open. (f) f is open and closed but not continuous.

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