rated by revolving the area bounded by the parabola y² = 8x and its latus rectum about the latus rectum. Use the sh

Q: 1. A combination lock consists of the 26 letters of the English alphabet. If a 3-letter combination…

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Q: (b) Find the Jacobian matrix ду əx where y [1+1+2+3 -x1x2x3 -[1+5+ = -B X2 I3 and x =

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Q: 7. Which of the following sets of functions is linearly dependent on R0,2? (a) {6, z, sinz} (b) {1,…

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Q: can you please tell me which one is which question please? I got a bit confused

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Q: Consider the inner product defined by (x, y) = xy = y + x2y2, x, y € R²x1 (the scalar [3] [2¹]…

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Q: -(80) (b) 2. The subspace (a) x+y+z= By in R³ is a plane whose equation is x-2=0 (c) y x-2y+z=0 (d)…

A: Here i am using linear combination and then we saw the relation between the coordinates.

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Q: This quiz covers sections 1.3 and 1.4 D Question 5 Solve the problem. c Let a₁ - , a3 and b = 2…

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Q: IF: A = 2i - j+2k and B=9i+20j + 12k Find: Unit vector for A direction. Unit vector for B direction.…

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Q: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

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Q: Apply Newton’s approx. to find the value of x for cos x = tan x; x0 = 1.

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Q: 3 3 9 y x Figure 1: Paraboloid y = 9x² - 2² with y ≥ 0 2. Given F =. By using Gauss's theorem, find…

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Q: b1) 3+3 dx b2) fx² In x dx

A: This is the question of Integral Calculus.

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Q: 2. Let H H H where H be a Hilbert space. Let A = B(H) and B be the operator defined on H by 0 iA B =…

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Q: 7. So -y dx + x dy x² + y² G₁₁: x² + y² = 1 C₁ traversed in a clockwise direction. (b) Green's…

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Q: в хгу" + (у! y" (y) = , - 2+ C

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Q: 3. Which of the following are equivalent to Vx: P(x) ^ Q(x)? a. 3x : ¬P(x) V¬Q(x) b. Vx : ¬P(x) ⇒…

A: We need to see what statement is logically equivalent to ∀x : Px∧ Qx

Q: ſždz, y is the line segment from 0 to 1 + i §ždz, y is the unit circle with positive orientation

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Q: State the value of a for the homogeneous ODE. xy2y = x³ + x²y a= Do NOT solve the ODE.

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Q: which of the following is a binary operation if a and b are in S

A: To find:  Which of the given is a binary operation if a and b are in S

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Q: 4. e² 55 +19 + sin (577) - 3 3 43 67

A: The complex mathematical expressions can be solved using calculators.

Q: 3. There are 9 dots randomly placed on a circle. How many triangles can be formed within the circle?

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A: Below given clear explanation and neat sketch

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Q: using con |' 1 P+ (1)

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Q: 6. Use the rules of inference from the formula sheet to show the follow argument is valid: \x Q(x)…

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Q: kindly answer this following problem using LU factorization thank you

A: As you asked for LU Factorization

Q: 10. [ Find the flux of the vector field F(x, y, z)= 3 over the surface S, where S is the surface of…

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Q: Q1 (a) Using the second shift theorem, determine the inverse Laplace transform below: L-1 se-s s² +9

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Q: Which of the following groups are cyclic? For each cyclic group, list all the generators of the…

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Q: (8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

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Q: A≤f^(-1) (f(A)) and if f is surjectivee, .then A=f^(-1) (f(A)) F O то

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…