Find the value of (3/2). 4

Q: Define the linear transformation T: R → Rm by T(v) = Av. Find the dimensions of R" and Rm. -1 A = -1…

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Q: Identify and sketch the graph of the following equations in R³ (a) x² + 2y² +2². 8x + 12y2z + 35= 0…

A: The given equation in part (a) is x2+2y2+z2-8x+12y-2z+35=0. The given equation in part (b) is…

Q: 4, The hardness of ten steel samples was measured and the results were as follows. Sample 1 2 3 4 5…

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Q: Let X and Y be continuous random variables with a joint probability density function (pdf) of the…

A: Given function is f(x,y) = k(x+y),0≤x≤y≤10,elsewhere

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Q: Using the definition of Laplace transform, what is the equivalent integral if f (t) = 5t? Oe at

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Q: Suppose the invertible n x n matrices U and V satisfy the special properties U2 V2 and UVU = V. (a)…

A: Given : U and V are n×n matrices such that  U2 = V2  and   UVU = V. To prove : UmVUm = V  for all…

Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: (a) Determine whether the permutation 42135 of the set {1, 2, 3, 4, 5} is even or odd. (b) Find all…

A: The given permutation is 42135. The given permutation is a cyclic form of the set {1,2,3,4,5}. The…

Q: Example 7.4. Using Newton's backward difference formula, construct an interpolating polynomial of…

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Q: Find the steady-state probability vector for the stochastic matrix P. [0.9 0.3 0.2] P = 0.1 0.6 0.3…

A: Given P = 0.90.30.20.10.60.300.10.5

Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

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Q: Transform: F(s) = (s+2)(s−1)(s−2) O f(t) = −e-² – 3c′ – 4e²¹ 21 O f(t) = c-²¹ - 3e O f(t) = −e²¹ –…

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Q: Let f(x) = x² + 2x - 1 and g(x) = 2x - 4. Find 3f(x) - 2g(x). 2x² - 2x - 14 3x² + 2x + 5 Option 1…

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Q: 8s + 12 s² + 4s + 29

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Q: Consider A= (0, 4, 2), B =, (6,-1,0) and C = (3, 0, 1). 1 (a) Find the unit vector having the same…

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Q: Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water…

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Q: Determine the volume when the region, bounded by the given equations,

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Q: Convert the differential equation x by letting u₁ = x, U₂ = x', Uz = x Note: Type u_1, u_2, u_3, and…

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Q: 3 2t Find the laplace transform of ett²+ e²t (2cos 3t). 16

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Q: a) 13 C, C₂

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Q: Use flat random numbers to estimate л.

A: Let us estimate the pi using flat random numbers in the next steps.

Q: Look for the expectation value of x, , for a-particle-in-a-box, such that: ηπχ (x) = x xsin² dx €1³

A: We will use substitution and integration by parts to find value of integral

Q: Abby C. Dee borrowed P10,620.00 from Jakey L. Em on October 30, 2020. He promised to repay it after…

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Q: Evaluate the following integrals. 4x+10 1. S dx (x-2)(x-1)²

A: Solution:  To find : ∫4x+10(x-2)(x-1)2

Q: If A is an n×n matrix having linearly independent eigenvectors v1,v2, . . . ,vn, then the n×n matrix…

A: Matrix and whose columns which are linearly independent

Q: 3, i,A garden is rectangular being 22 m wide and 45 m long. How long is a line drawn from one corner…

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Q: Page 3 3. For |2 <1, 1+z+z²+... 2 Using this expansion, by matching terms show that if f(2)==0a, 2³,…

A: We have to find maclaurin series for g(x).

Q: The Wronskian of two differential functions f and g is W(f.g)=fg'-gf, more formally, f(x) W(f,g)(x)…

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

Q: I. Draw the directed graph and list the set of ordered pair of R, of the following. 1. If…

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Q: Which of the following is the orthogonal trajectories of the family of cissoids y² = ? a- y² = C(x +…

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Q: Consider the following argument: If I am either sleeping well or doing my assignments, then I will…

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Q: 1. Consider the differential equation z³y(3)-3ry' +6y=0. (a) Find distinct values of r, say 71,…

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Q: Find the point P where the function f(x, y, z) = x¹y¹z7 reaches the maximum value for x, y, z ≥ 0 on…

A: Given the function fx,y,z=x4y4z7 reaches the maximum value for x,y,z≥0 on the unit sphere x2+y2+z2=1

Q: 70° X 200⁰

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Q: 3. Let n ≥ 1 be an integer, and let J : Pn → Pn+1 be the indefinite integration transformation on…

A: The given function is J : Pn→ Pn+1 and defined by J(P)[x]=∫0xp(t)dt ∀x∈ℝ. To find : (a) linear…

Q: A company can buy a machine that is expected to increase the company's net income by $30, 000 each…

A: Given:   The net income is = $30,000

Q: Example 8.1. Given that 1.0 1.1 y: 7.989 8.403 dy find and dx (a) x = 1.1 (b)x= 1.6. d'y at dx² 1.2…

A: We need to make difference table to solve this problem. Please find step by step solution below:

Q: Solve the initial value problem y + y = g(t), where 1, g(t) ={ 0, The solution should be continuous…

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Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A: Given: A breeder reactor converts the relatively stable uranium 238 into isotope plutonium 239.

Q: Invert the following matrices, if possible. 3 (a) 2 1 [3₂1] -2 6 (b) 1 3 1 2 0 1 -2 (c) | 1 Lo

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Q: Evaluate the following integrals. *x*+5x x*+5x³+20x+16 2. x(x²+4)² dx

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

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Q: 2 dy +4. dt d² y dt² +4y=2e¹

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Q: 2. Let a1, a2, a3,... be the sequence defined recursively as follows: a₁ = 1, a2 = 20, and for all k…

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Q: Knowing that G = S6, define the set Gr= {a EG: a(t) = t for all t = T} If the set T = {1, 2} C S,…

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Q: 2- Write two examples about converting from rectangular (x,y) to polar form(r.)

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Q: Q.2 The train resistance R(lbs/ton) is measured for the following values of its velocity V(km/hr).…

A: to find a, we take the following three Values of V which are in G.P.

Q: 3. Consider the function f: IR→ (0,1] defined as f(x) = x² +1 (a) Prove that f is not one-to-one.…

A: Given function is f: ℝ → (0, 1] such that f(x) = 1x2+1