Two planes of a projective space S4 of dimension 4 are said to be skew if they intersect in only one point. Let , a, 3 be three mutually skew planes in S4. Prove that there exists a unique plane of S4 intersecting each of T, a, 3 in a line.

Q: Use the substitution u=-3x+2y to solvethe differential equation (-3x+2y) y'= - 1. a) Clearly…

A: Given differential equation is: -3x+2yy'=-1. Let, -3x+2y=u. Differentiate both sides w.r.t. x.…

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Q: y' = 2x - 3y + 1, y(1) = 5; y(1.5)

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Q: Consider the matrices A = Is B the inverse of A? OTrue (11 G 11 1) 1 -1 and B = (0.25 0.25 0.5 -0.5…

A: I have explained everything with in the solution .please go through that.

Q: I. Volume 1. Find the volume of the solid in the first octant under 4x + 2y + z = 4 (in inches).

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Q: - 1. Let A be a o-algebra in X and u: A→ [0, ∞] a measure on A. Show that μ(AUB) = μ(A) + μ(B)-μ(An…

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Q: What is the 2nd random number using a linear congruent generator with a = 4, b = 1, m = 9 and a seed…

A: a=4, b=1, m=9 and a seed of 5.

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Q: 4. Find a basis for the null space of the linear transformation T: R³ → R³ given by (E]) - T -3x +2y…

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Q: dy X Solve dx +(1+x)y=e*; y(1) = 0

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Q: Let A = 10-3 0 22 and b = - 4 4 2 -1 6 Denote the columns of A by a₁, a2, a3, and let W = Span {a₁,…

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Q: Math 10 Linear Relations FI Height (ft.) 40 36 / T 32 28 24 20 2 W I I S 16 command 12 8 F 4 0 A X…

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Q: Find the minimum value of f(₁84)x₁+28+ Ay subject to the following constraints. Write the exact…

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Q: The classic shape of a grain silo can be approximated as a cylinder with a hemisphere of equal…

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Q: Find two power series solutions of the given differential equation about the ordinary point x = 0.…

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Q: Let u₁ = -B-6 and U₂ = 1+ -1 + 2i Which of the following vectors are orthogonal to both u₁ and u₂?…

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Q: For the DE y"+ 3xy' =0 from problem 2, Give the general solution to the DE.

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Q: 5. Evaluate the integral of 1 y¹/³(x³ + 1) over the region which is bounded by the x axis, the line…

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Q: Is there perhaps an easier way to approach these questions? Im quite new to differential equation.

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Q: Find the area of the ellipsoid = 1 using the coordinate transformation r = au, y = bv, z = cw.

A: Integrals calculus

Q: In this exercise we consider finding the general solution of the first order linear equation y' -…

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Q: Let F be a field and f (x) ∈ F [x]. (a) Prove that if f (x) is irreducible over F, then so is f (x +…

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Q: find the solution of the given initial value problem, and plot its graph. How does the solution…

A: Since the given initial value at t=0 so we can apply Laplace Transformation for solving this ode.

Q: if you borrow $1200 at an add on rate of 5% for 4 years how much is the monthly payment

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Q: Find the centroid (x, y) of the region bounded by 2x² + 4x, y = 0, x = 0, and x = 1. y x = TU y = 11…

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Q: Find the solution to the following linear, homogeneous recurrence with constant coefficients: an =…

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Q: Consider the following time series data: Month Value 1 2 24 3 4 5 13 18 13 21 6 7 24 14 (a) Compute…

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Q: Find the bases of Null, Col, and Row space of the following matrices and determine their rank -3 -3…

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Q: 7. Let Þ(u, v) = (6u — 4v, u +3v). Use the Jacobian determinant to determine the area of Þ(S) where…

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Q: 1. Find the derivative of the following equations. a) f(x) = 2 cos(x) (3x² - 4x + 1) b) f(x)=x²-5x…

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Q: ) Find the determinant of the following matrix A by row operations to to a triangular matrix A = [2…

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Q: Consider the following 5 statements. 2 of the statements are false in general. Determine which 2…

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Q: Using this table as needed, calculate the required information for the mortgage. (Round dollars to…

A: Amount Financed = $162,300 Interest Rate = 7.25% Term of Loan = 15 years

Q: 7. f(x, y, z) = 2x + 2y + z; x² + y² + z² = 9

A: 7. The given function fx, y, z=2x+2y+z subject to the constraints x2+y2+z2=9. We have to find the…

Q: 1.Let’s consider: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, V = {0, 2, 4, 6, 8}, D = {1, 3, 5, 7, 9}, P =…

A: Here given that    U={0,1,2,3,4,5,6,7,8,9}V={0,2,4,6,8}D={1,3,5,7,9}P={2,3,5,7} That means V is set…