Find the volume of the solid that lies within both the cylinder x2 + y2 = 4 and the sphere x2 + y2 + z2 = 25

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Q: Ⓒ Last + 3 sin4t4 3 2 h + ²³ - t ² + 5 + ² 2 4t -3t - 13 & 13ett - 5e³t}

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A: Lagrange Multiplier Method :

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A: Solution:Given: we have to check that is a subspace of or not.

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A: Given: The constraint seems likeObjective: To determine the minimum value of  by using the simplex…

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A: The domain W is bounded by:The elliptic cylinder , and the sphere in the first octant.To Evaluate:…

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A: Given: A matrix To Compute: The CR decomposition of matrix .To compute the CR (Cholesky-Rice)…

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A: Given differential equationLets use method of variation of parameters to find the particular…

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Q: USE THE BISECTION METHOD TO APPROXIMATE THE SOLUTION TO f(x)=e-Inx; [1, 2] CALCULATE UP TO 5 DECIMAL…

A: Here e-x -ln(x)=0Let f(x)=e-x -ln(x)Now we use bisection method.

Q: ܩܘ 7:18 35. Evaluate the double integral SS₂C² (a + 3x² + bxy) dA, where R = {(x, y) € R² : [x] +…

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Q: Need fast please. Complete too

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

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Q: " (Sum Rule): Suppose f: ℝⁿ → ℝᵐ and g: ℝⁿ → ℝᵐ are functions, and let a ∈ ℝⁿ and b, c ∈ ℝᵐ be…

A: I think you know the definition:

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Q: 20.7.2 Show that lim [COXE) = S(x) TT SO

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A: Domain and range: The domain is the set of all the input values of a function and the range is the…

Q: Prove that these arguments are valid through natural deduction. 1. ~a --> ~b 2. a --> c 3. c --> d…

A: We use the rules of inference to prove the validity of the given argument.

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A: Given set in sub question 1 is .See that the determinant of the matrix formed by putting the given…

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A: If the Laplace transform of functions f(t) and g(t) are F(s) and G(s) respectively, then and…

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Q: Find the distance from point P(1,4,0) to the plane through A(0,0,0), B(2,0, -1) and C(2, -1,0) Find…

A: (1) The equation of the plane passing through the points A(0, 0, 0) , B(2, 0, -1)  and  C(2, -1, 0)…

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A: As asked we shall solve only part (d).Since the contour plot is not given we shall plot it…

Q: Prove that, Cosh(A+B) = CoshACoshB + SinhASinhB. Deduce a similar expression for Sinh(A+B)

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Q: 5. Identify the domain, range, asymptote, and the graph of the following functions. a. f(x) = log5…

A: The given functions are,(a) (b) We have to find the domain, range, and asymptotes of the function…

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Q: Solve each system of equations by using matrices (row operation echelon form). If the system has no…

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Q: Let T be a unitary operater on an Euclidean space V. Show that (T(a)|T(B))=(a), for all a, BEV.

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Q: Part 1: A. Differentiate the following functions with respect to x y = xe ²x (ii) y = 2x³ cos x…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Let the set S= -8,-¹, 0, 2, 0.21, 2 following sets. i) ii) iii) π ST {xx is a natural number}. = {x:…

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Q: Problem #6: Let Problem #6: f(1) = S8 3 -8 0 <1 < * < 1< 2π and assume that when f(t) is extended to…

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Q: For {i0, j0, k0}, Ox0y0z0 axes in X, Y and Z axis; If {i1, j1, k1} is i0=2 units, j0=4 units and k0…

A: The vector given is . The axis is rotated by an angle

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral.…

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Mnty the horizontal…

A: Definition  : A horizontal asymptote of a graph is a horizontal line y = b where the graph…

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Q: Determine whether the linear transformation T is one-to-one and whether it maps R³ onto R…

A: 1. Determine whether the linear transformation  is one-to-one and whether it maps  onto .A.  is not…

Q: Prove that these arguments are valid through natural deduction. 1. p & q 2. p --> r 3. ~(s & r)…

A: We use the following rules of inference

Q: implify. Write the answer in decimal notation. (3*10^(-4))/(2*10^(3))

A: Given expression We have to find the answer in decimal notation.

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A: Consider a second order partial differential equation A(x,y)Zxx + B(x,y)Zxy +C(x,y)Zyy+…

Q: (4) Prove that if n >m > 0 then sint t m -dt < Hence show that sint dt exists. 4 m

A: To Prove:, if , and exists.

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Q: 6. An automobile dealer leases four types of vehicles: four-door sedans, sports cars, minivans, and…

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