Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 11a +y+ = 5.

Q: Let S-f(0,-11).(0.21).(112). which of the following is true? S is not a basis for R because S does…

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Q: 60. Radial fields and spheres Consider the radial field F = r/|r|, (x, y, z) and p is a real number.…

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Q: Using the following matrices: |1 E: 0 1 C2: 0 -1 | To 1| |1 Op:0 |-1 0| -1 1 Complete the group…

A: Using the given matrices complete the group multiplication table :-

Q: y1 = -Y1

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Q: 2e* xy" - (2x + 1)y' + (x + 1)y : x?

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Q: Question 5 2 4-y² cV8-x2-y? Use cylindrical or spherical coordinates to evaluate the integral. J.J.…

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Q: What is the closest prime p following 123456 that satisfies p=3 (mod 4)

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Q: Choose two figures which are topologically equivalent to each other

A: Two figures are said to be tropologically equivalent if they can be tranformed into each other…

Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2+s+6)(s²+5)

A: To solve given question first we write the partial fraction decomposition of given function and then…

Q: ポーX 0<x<A (-1)"-1 sin nx 12) f(x)= COS nx + n<x< 27

A: According to guidelines,  I can solve only one question.

Q: A large metal disk with radius of 1 m has been made. The density of the metal disk is given by p(z,…

A: Given A large metal disk with radius of 1m has been made i.e. r=1 and ρx,y=2+6xy and θ=0 to θ=π3

Q: 1. Sket di the graph of the cylinder r (y-2)2 in R°.

A: Given: To sketch the graph of x=(y-2)2

Q: The integral TT tan x sec?x dx O none of them is an impróper integral of type I that diverges is an…

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Q: 3. Let Q be an orthogonal matrix. (a) Show that if A is an eigenvalue of Q, then |A| = 1. (b) Show…

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Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = | 3 dt 8. e2t

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Q: The integral TT tan x sec2x dx O none of them is an impróper integral of type I that diverges is an…

A: Solution

Q: Let f(z) = ((z – 3i)² + 9)ez- The Laurent series representation of f(z) in the domain 0 < |z – 3i| <…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent's series representation of fz in the…

Q: a. [(r ^ p) ^ (p ^ q)] →p b.For the given statement write as a conditional statement, then write…

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Q: Find the Laplace transform of: 1. f(t) = e-3t) sin(2t) cos(3t) cosh(t)

A: Laplace transferom of the function

Q: Ifan is an even number, show that a2 = 0 (mod 4), and if an is an odd number, show that a2 = 1 (mod…

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Q: arympdoter ofthe Sキマルソープリ 14y-+リル+5=0 Find all the cunve 2.

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Q: Use a double integral to find the volume of the indicated solid. Z= 8 6- y = x 2- 6 8 10 10 x = 9 5.

A: We need to find the volume of the indicated solid using the double integral. first we will form the…

Q: Proceed as in Example 4 in Section 6.1 and find a power series solution y = Cox of the given linear…

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Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X 2 -2 -2 | X(t)…

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Q: Let be a prime such that p = 1 (mod 4). Prove that –1F, is a square in Fp. -

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Q: Use the Midpoint Rule for the triple integral to estimate the value of the intergral, Divide B into…

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Q: Let W = {a + bx + cx? + dx³| a + b = 0 and c – 3d = 0} be a subspace of P3. Then the dimension of W…

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Q: 1 of f(t) -5<t<0 is 1+t 0<t<5

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Q: 2. Fit the following data points using quadratic regression. Round off values to 4 decimal places.…

A: Given: The data points, x 2.5 3.5 5 6 7.5 10 12.5 15 17.5 20 y=f(x) 7 5.5 3.9 3.6 3.1 2.8 2.6…

Q: Proof that L (cos²t – sin?t) = s2 + 36

A: Note that. Right hand side should be s/(s^2+4).

Q: 8 -4 -2 1 the c baractter

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Q: b.) FIND THE AREA INSIDE THE CIRCLE r= 2 cas e and OUTSIDE THE UNIT CIRCLE r= |

A: We have to find the area inside the circle r=2cosθ and outside the unit circle r=1. The required…

Q: Which of the following is a three-point geometry? 3.

A: We have to select which of the  following  is a three point geometry. Three point geometry is a…

Q: Q4: Find the solution of the simultaneous equations by Laplace transform with initial condition y(0)…

A: Here we can use the following formula for Laplace transform of derivatives of a function,…

Q: 1 A tank contains 280 gallons of water and 10 oz of salt. Water containing a salt concentration of…

A: 1st we will formed the differential equation and then solve it to get expression for amount of salt…

Q: Consider this Preference Voting Table from 50 voters and 4 candidat- Rank / Number of 19 14 10 votes…

A: In Borda count the points are assigned to each candidate  assign the points mentioned in the table…

Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)   PLEASE!!!

A: Given differential equation is y''+2y=secx. We have to solve the given differential equation. Write…

Q: Find the area of the region using a double integral. The region bounded by y = 4x°, 2x + y = 6, and…

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Q: 1. Consider the problem of a toy company that produces toy planes and toy bo company can sell its…

A: Let  x be the number of planes and y be the number of boats The objective is to maximize the revenue…

Q: Let W- ((x. y, 2)|x-2y 32) Vector addition and scalar multiplication are defined by (x, y.z) + (u,…

A: Note: " As per our guidelines we will solve only first question . If you want any specific question…

Q: Evaluate using Laplace Transform: tsin3 3t dt e-3t f(t) = 0,

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Q: s - 1 2s2 - 8 s +11 (b) F(s) = %3D

A: Inverse Laplace transform

Q: 5. Let V be a vector space of finite dimension n and let U be a subspace of V with dim(U) = m. a)…

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Q: 4. Calculate the arc length of the polar curve r = e38 from 0 = 0 to 0 = 2.

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Q: Suppose A E Mn(R)and B. Find the eigenvalues of B = LA A in terms 2A] of the eigenvalues of A.

A: Given that A∈MnR and B=0AA2A. We have to find the eigenvalue of B. The eigenvalues of the matrix B…

Q: Compute the determinant of the matrix -1 2 0 0 -1 -1 1 1 and find its inverse if it is invertible.

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Q: 5. y"+(x- 2)y = 0. Solve for about x =2

A: Given differential equation is ,                                     y" + (x-2)y = 0 (.)    x = x0…

Q: Determine the vector fald of . Fa, -- %23

A: The given vector field is                                            V(x,y)=4i-2j

Q: The average remaining lifetimes for men of various ages in a certain country are given in the…

A: Given, The average remaining lifetimes for men of various ages in a certain country is: Age Years…

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: Given integral is ∫03 x3+xdx Number of sub-intervals = 6 Take f(x) = x3+x Step size  ∆x  = 3-06…