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Q: 4. Consider diffusion inside an enclosed circular tube. Let its length (circum- ference) be 21. Let…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 81 that lies above the cone z =…

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Q: 1) Write the conjugate of each complex number a. 7 (3+6i) b. (5-7i) (10+ 5i) c. (4.5+3i)/ (3-10i)

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Q: Find the radius of convergence of the power series. (If you need to use ∞o or -00, enter INFINITY or…

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Q: Exercise 4 (Uniform boundedness principle-General case). Suppose X is a Baire space. 1) Consider a…

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Q: Create a bijective transformation that maps P2 to R^3? If so, create the map, or explain why this is…

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Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

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Q: Suppose that f(x, y) = x² − xy + y² − 3x + 3y with D = {(x, y) | 0 ≤ y ≤ x ≤ 3}. 1. The critical…

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Q: Angela has just purchased a home for $159,000. A mortgage company has approved her loan application…

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Q: Find the coefficients so that C₁ D--- H + C2 -3 2 -6 3

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Q: In this question, we consider the differential equation y" - 3y + ay = f(x) (a) Suppose that in Eq₂…

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Q: Use expansion by cofactors to find the determinant of the matrix. W X y Z 27 -24 21 15 -18 24 -10 32…

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Q: Use a software program or a graphing utility to (a) find the transition matrix from B to B′, (b)…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Show that arcsech(x) = arctanh(√1-x²) where arcsech(x) is the inverse of f: [0, ∞) → R, f(x) =…

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Q: if we reflect a point (x, y) about the x-axis and then take the result and reflect it about the…

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Q: Question One Given the matrix A=1²2 21 a) Find the characteristic roots and vectors of the matrix A.…

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Q: III. Find the first derivative of the following functions. Simplify as much as possible a) w=

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Q: yμ 4y + 3y = 4.6 where y(0)=0 y'co)=2

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Q: A mass is attached to a spring and then the spring is compressed and released. Suppose the…

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Q: TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: Cauchy integral formula states that, if fz is analytic function within and on a simple closed curve…

Q: The perimeter of a rectangular sandpit is 40 meters. The length of the sandpit is 1 meter less than…

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Q: find an example of a matrix in V=M3x3 that doesn't have an additive inverse ans should be entries in…

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Q: Find the Laplace Transform of the following functions: 1. f(t) = (2e−4t + sin t)² 2. f(t) = 4t cosh…

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Q: 7. On a certain mountain range, the level is z = 1200 -0.02x² -0.04y². points north. The climber is…

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Q: Consider the ODE dy arctanh(x) 2 da x² ey (0 < x < 1) x (a) Make the substitution u = =e" and show…

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Q: - (a) In Dn, show that a*bak = b for all k € Z. Please proove using induction, the first variable is…

A: Given : Dihedral group Dn. To show : akbak=b    ∀k∈ℤ.

Q: A diagonalisation of a matrix A is given in the form P-1AP=D.List the eigenvalues of A and the bases…

A: A diagonalization of a matrix A is given in the form P-1AP=D. Here P-1=16161612-12-121313-23,…

Q: Sketch the direction field for the differential equation. Then use it to sketch a solution curve…

A: The initial value problem is provided as: y'=y-3x, y(1)=0. We need to sketch its direction field…

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A: We use the definition of the Riemann sum and then evaluate the expression for the given function. We…

Q: Consider the ODE dy r≥0, 0≤ y ≤ 4m. dr Without solving the ODE, sketch the family of solutions of…

A: Given : dydx=siny , x≥0 , 0≤y≤4π Sketching the family of the ODE.

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Q: 35-8 12 7 16 31 4 -2 S 2 t-1 -2 3 = A rref (a) Find null space (6) Find a basis for the null space 4

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Q: Find the area of the shaded region. Round your answer to one decimal place, if necessary. Note: The…

A: To find area of given shaded region.

Q: Prove Property one flig property li the Statements A) Assume that A and B. B) Then, Since aij, bij…

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Q: b) x²= x=tx²³

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Q: Determine the value(s) of c ER such that the series arctan(cn) converges. n=1

A: The given series ∑n=1∞arctancn, the value c∈ℝ. We have to find the value of c, such that the series…

Q: will take more than 70 seconds to download 3 independent files?

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Q: Part a: Set up an expression for the profit from producing and selling x items. We assume that the…

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Q: Use mathematical induction to prove each of the following: * (a) For each natural number n, 3…

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Q: 8. Set up and evaluate a spherical coordinates integral for the volume of the solid bounded below by…

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Q: hy-Euler equations: Using the outlined method to find D-7x4y(4) + 18x³y(3) - 14x²y" - 15xy' + 25 =…

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Q: Consider the following curves in R³. State under what conditions they implicitly define y as a…

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Q: A 9.7 100.3 B 8.3 109.5 C X 93.5 D 11.7 125.7 E 8.0 117.5

A: The given points are A(9.7,100.3),B(8.3,109.5),D(11.7,125.7),E(8,117.5).   We have use Lagrange…

Q: 5. Find the volume of the region bounded by the paraboloids z = 12 – x² - y² and z = 2x² + 2y². 2

A: To find volume using triple integral in cylindrical co ordinate system We will use relation between…

Q: Find the dimension of the vector space.R3m

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Q: I H... By....... Dr. Jom Liſt 2.

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Q: The demand and supply functions in a competitive market are Qa=280-4P and Q, = -35+8P and price is…

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Q: Please write the solution clearly and identify what is done in each possible step in your solution.…

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Q: ge 21 of 30 6.0 Solve the ODE d'y dx² subject to the initial conditions y(0) +4y= 2x + 18e5 = 11/13…

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Q: 6. Prove that |u. v ≤ uv, and state what condition would imply equality.

A: The given problem is to the vector inequality |u•v| &lt; |u||v| and also to state the condition when…