2. Prove that √2 & Q

Q: 10. Let f(x, y, z) be the density function of the V where V is the solid enclosed by z = 4-x² - 4y²…

A: Given That : fx, y,z is a density function and V is the solid encloses by z=4-x2-4y2 in the first…

Q: For each positive integer n > 0, find the greatest positive number integer mn such that 1 tan ¹(n+1)…

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Q: (d) 2x₂ + 4x3 = 8 2x₁ + 2x₂ = 6 x₁ + x₂ + x3 = 5

A: we have to solve the given system of equations using the echelon form        2x2+4x3=82x1+2x2…

Q: 1) Given the nonhomogeneous DE: x²y" - 2xy' - 18y = 4x 1 5 X 2 A) Verify that y₁ = x6 and y2 = x³…

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Q: A hand-held calculator will suffice for this problem, where an initial value problem and its exact…

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Q: Find the centroid of the shaded region. y = cos x x = -TT/4 x = TT/4 15 pts

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Q: O f(t)=e-1t (cos(4 t)- 10 sin(4 t))

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Q: PEAK TRAM The Peak Tram in Hong Kong connects two terminals, one at the base of a mountain, and the…

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Q: Determine whether the set of solution defined by {ex, x², 3x} is linearly dependent or linearly…

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Q: Show that f: R\{2} → R\{5} defined by f(x) = (5x+1)/(x - 2) is bijective.

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Q: Use cylindrical coordinates. Evaluate JIS. √x² + y² dv, where E is the region that lies inside the…

A: Evaluate the integral.

Q: supplier for the automobile industry manufactures car and truck frames at two different plants. How…

A: Given that a supplier for the automobile industry manufactures car and truck frames at two different…

Q: A sequence is given by the recursive definition an = an−1 + an−2, a0 = 1. Find a1, a2, a3.

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Q: F(x)=9+0.4x e0.4x

A: Given: Fx=9+0.4x-e0.4x To find the root using newton-raphson method.

Q: 15. The population of a large city is 425,000 in 2020. If the rate of growth each year for the next…

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Q: An urn contains 5 red and 6 white balls. Two balls are drawn in succession without replacement. If…

A: Probability of event A given event B has occured = (Probability of both event A and Event B has…

Q: Consider the differential equation (D³ - D)y = x. Find yp. A. y = 2x B. y = x² C. y = x² D. y = -…

A: Finding particular integral.

Q: 50. 01 103 01 10 32 22 232 54. 2 2 23

A: EIGEN VALUES ARE GIVEN BY, A-λI=0 WHERE λ ARE THE EIGEN VALUES. AND CORRESPONDING TO EACH EIGEN…

Q: 10 What is 44 in radical form?

A: 4(10/4) Radical form given below

Q: (a) From first principles, find To(x), the Taylor series expansion of (1-x)-¹ about x = 0. Include…

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Q: For each function below, find all points where the function is discontinuous and classify the type…

A: To Check: whether the following function are continuous or not. If they are discontinuous we need to…

Q: Problem II Consider a linear transformation L₁ R¹ R³ given below and a linear operator L₂ R³ R³…

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Q: Alicia has 6 weeks to prepare for her final exam and at most 50 hours available to study over that…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: ( › Given 7 = 178/33 -292553/44682 321593/44682 25405/14894 4 -5 53 ال لیا , 5 2 3 -B-0 and -6 7 -36…

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Q: (c) 2 da. (1+x³)2 (d) f In a dx. x1/3

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Q: Let & denote the vector space of all functions &: R&R under the usual operations of function…

A: B=sint, cost is a basis of H

Q: In an A.P. consisting of n terms where n is odd, sum of all the terms is S₁ and the sum of even…

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Q: Jo z(2x + 2y)¹/2² ln(2x + 2y)ds C

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Q: For a certain river, suppose the drought length Y is the number of consecutive time intervals in…

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Q: 5(p-² Show that the angle + ♂²), where s is the between principal arcual distance between 0 and P…

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Q: Example: Find the first and second order derivatives of f(x) = xe* at x=2.5. Compute the percentage…

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Q: 1. At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to…

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Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: Find the total upward flux of the field F = across the surface σ: z =1 – 4x^2 – 4y^2 above the…

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Q: Answer the following in your own words, using complete English sentences. (a) What is a conservative…

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Q: Approximate the stationary matrix S by computing powers of the transition matrix P shown below.…

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Q: 16. Use your calculator to make two lists and a scatterplot for the data below. Find both the linear…

A: The given table of values, x y 0 $22600 1 $18500 2 $16000 3 $15100 4 $14200 5 $13300…

Q: 9. For this problem we consider Zx Z as a free Z-module (a) Prove that the set {(1, 1), (1, 2)} is a…

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Q: Determine the flux of F(x, y, z) = across the surface with an upward orientation. Let the surface…

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Q: 5. A perfect cube is an integer x such that there exists an integer y and x = y³. Prove that the sum…

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Q: - State and prose the Pythagorean Theorem

A: We have to state and prove the Pythagorean Theorem.

Q: len ([4, 5, 6])

A: Given: len4,5,6 To find: Value of the given expression.

Q: √9-x² LI******** 0 3 -3 2 9-x². 2 X 2 x² + y² dzdydx

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Q: If a, b, c are positive real numbers. Then prove that (a + 1)(b + 1) (c + 1)² >77 abct.

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Q: In the United States, 40% of the population has brown eyes. If 15 people are randomly chosen, what…

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Q: Consider the vector field F and the curve C below. F(x, y) = (3 + 8xy²)i + 8x²yj, C is the arc of…

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Q: Find all homomorphic images of dihedral group, D3.

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Q: Problem III Let A denote the matrix given below. (i) Find all eigenvalues of the matrix A. (ii) For…

A: Let  A=020101020           The characteristic equation of A is  A-λI=0                      ⇒…

Q: 2.SOLVE USING BIG-M METHOD Maximize 3x1 - x2 subject to X1 X2 ≤ 3 2x1 < x₂ x₁ + x₂ ≥ 12 X1, X₂ 20

A: