B₁ V(r.0)-A,r'+P,(cose) 1-0

Q: keys one after another, then find the following (i) the probability that the door is opened in the…

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Q: 3. For a, b>0 define f(x) by f(x) = Tot tz ta dt log blog a Prove or disprove that f is continuous…

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Q: Use a double integral to find the volume of a regular tetrahedron whose edge length is 1.

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Q: APPLICATIONS 3. A pressure gage for a boiler allows the boiler to run as long as 3(x+5)-1…

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Q: -1 0 find matrices A = B³ + C³, If A = 1 3 then prove that A² + 3A +21=O. Further -2 B and C of…

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Q: Find the area under the curve y = 1/(5³) from x = 1 to x = t and evaluate it for t= 10, t = 100.…

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Q: Find the volume of the region under the surface z = corners (0, 0, 0), (3, 0, 0) and (3, 3, 0).…

A: Consider the given surface, z=91+x2 It is required the find the volume of the region under the…

Q: Let P E SO3(C). Check whether or not 1 is an eigenvalue of P.

A: We check 1 is eigen value of P or not .. For this we proved firstly two lemma  Then we get 1 is…

Q: Find 1 1 I'S' 0 0 (5x + 2y)5 dxdy

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Q: Here, assume that S has the same orientation as defined by the positive orientatio of the ellipsoid.…

A: (b) Given ellipsoid 4x2+y2+9z2=37 , y≥1 Let Fx,y,z=y, lny+z2sinxy, -x Claim: compute ∫∫ScurlF·n dS…

Q: 1. Verify the following beta function identity 3(m, n) = 3(m+ 1, n) + 3(m, n+1) . Show that: 1. 2.…

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Q: (3) The inverse of 3 modulo 7 is (a) -1 (b) -2 (c) -3 (d) -4

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Q: where did you get the $480.42 for monthly payment?

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Q: u select a family with three children. If M represents a male child and F a female child, the set of…

A: Given Sample Space = {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}

Q: Test the sets of polynomials for linear inde­pendence. For those that are linearly dependent,…

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Q: 5. Consider the basis B = {(3,2), (1,-4)} for R². Use the Gram-Schmidt process to rewrite this basis…

A: Using Gram Schmidt process we can find the orthonormal basis.

Q: 1 $10 bill, 3 $20 bills, 5 $1 bills and 2 $5 bills are placed in a bag. If a bill is chosen at…

A: ACCORDING TO BARTLEBY EXPERT GUILDLINE I AM SOLVING THE FIRST QUES FOR OTHER QUES YOU SEND IT AGAIN

Q: Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. What…

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Q: y=f(x)=k(a2x2−b2ax−b) Find the limit of y as x tends to b/a for a = 7.5, b = 2.7, k = 3.8

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Q: Prove that the subgroup SO₂ of SU₂ is conjugate to the subgroup of diagonal matrices.

A: As it is known that SU2 is the group of all 2×2 unitary matrices with the determinant 1 where…

Q: 2. Determine in each case whether ACB. Explain each answer in one sentence. (a) A = {0, 2, 5} and B…

A: Answer  A) A is improper subset of B

Q: 5. A six-character alphanumeric password is made. a. What is the probability that the password…

A: Solution: Alphanumeric characters include both 26 alphabets (letters) and numerals ( 0 to 9) which…

Q: 4. True of False. Given U = a. BCC b. D' CA {1,2,3,4,5}, A = {1,3,5}, B = {2,4}, C = {1,5} and D =…

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Q: Claim that = (0.0.0) 2 a) show √ E OF √₂, √₂. b) Show OF J₁ () show J₁ s={√₁₁ √√₂, √√₂} S= √√₂₁ are…

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Q: A sample space consists of 9 elementary outcomes E₁, E2, ..., E, whose probabilities are: P(E₁) =…

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Q: 6. Let z E C. Let C be set of points z satisfying Im(z) 0 and Im Prove that C = {ZEC : |Z| = 1}.…

A: Given that  Im1+z+z21-z+z2=0 We know that if Imz=0 then Im1z=0 Therefore  Im1-z+z21+z+z2=0 Finding…

Q: 1911-3 zy Books Participati x zy Section 1.10-IT 140: In x ents/151275/0 A rectangle has perimeter…

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Q: Question #5 For polynomial P(x) = 15x³ + 14x² − 3x − 2, please do the following. a) list all…

A: The solution is given by using the rational root theorem and the rational number has the form p/q…

Q: QUESTION 10 Let's try to the Gram-Schmidt process of orthogonalization with the matrix 0.223 0.668…

A: Given matrix 0.2230.6680.710-0.1250.7410.6600.795-0.2340.560 Let  r1=0.223, 0.668, 0.710r2=-0.125,…

Q: 4. Write the appropriate inequality sign () in the box that will make each of the following true at…

A: a) 4x+2  1-3x for x=-2 L.H.S=4x+2 At x=-2, L.H.S.=4-2+2=-8+2=-6 R.H.S=1-3x At x=-2,…

Q: K The process of frying food changes its quality, texture, and color. Suppose the total change in…

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Q: Question #7 For polynomial P(x) = 3x* — 13x³ + 19 x² − 11x+2, please do the following. a) list all…

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Q: Find all of th e eigenvalues of th e matrix corresponding eigenspaces of A over th e complex numbers…

A: We have given a matrix, A=11-11 We need to find the eigenvalues of matrix. Consider A-λI=0.…

Q: 4. Show that a homeomorphism preserves the interior and the closure, that is, show that: f:X Y is a…

A: We need to show that a homeomorphism preserves the interior and closure. For (a), If f: X→Y is a…

Q: Suppose f: C → C is a holomorphic function. Let g(z) = ƒ(₹). Using the Cauchy Riemann equations, or…

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Q: Find the center of mass of the following plane region with variable density. Describe the…

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Q: Let R be the set of all red things Let A be the set of all apples Let B be the set of all bruised…

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Q: 4. Solve the initial value problem y" - 2y' + y = 0, y(0) = 0, y'(0) = 0.

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Q: 17. What is wrong with this argument? Let H(x) be "x is happy." Given the premise 3xH(x), we…

A: Given H(x) such that "x is happy."

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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Q: Given the tetrahedron with vertices (2,0, 0) (2, 4, 0), (0, 0, 0), and (0, 0, 4), set up but DOT…

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Q: 5. Show that there is a category Rel whose objects are the sets and whose morphisms are the…

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Q: Find the equation of the plane that passes through the points P₁(1, 2, 1), P₂(0, 2, 3) and…

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Q: Determine appropriate values of C₂ and x; so that the quadrature formula of the weighted integral…

A: Given, quadrature formula for a polynomial f of degree 3 is ∫-11xf(x)dx≈c1f(x1)+c2f(x2) We have to…

Q: (*) Find the potential functions of the following vector field. F₁(x, y) = yi+xj

A: To Find the Potential Function of the Vector field  F1(x, y)=yi+xj

Q: 15. What is the coefficient of the term w³x¹yz in the polynomial (w+x+y+z) ⁹?

A: To find the coefficient of the term w^3x^4yz

Q: 2 b -3 1 0, where a, b and c are the roots a Consider, A = 0 0 C of the equation x³ - 3x²+2x-1=0. If…

A: Solution:

Q: The indicated function y₁(x) is a solution of the given differential equation. e-SP(x) dx y} (x)…

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