Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x² + 0z – 16, y= 0; about the x-axis. Volume =

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Q: Use D-operator methods to find (a) the complementary function yo of (D² – 3D - 4)y =0 (b) the partic...

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Q: Calculate the sum of the first 1,000 natu 500,500

A: The sum of first n natural numbers is given using the formula S=nn+12 therefore here n=1000  

Q: Series{ 1/n } from 1 to infinity find how many terms are required for the sum to exceed 100

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Q: Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False accordi...

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Q: Evaluate the following integrals: 1) /x*. Inx". dx

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Q: 5. In the differential equation (xy +1)dr+x(x+4y-2)dy = 0, the integrating factor is

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Q: Evaluate the determinant of the matrix by a cofactor expansion along the fırst row. --1 1 4 A = 3 0 ...

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Q: Find the Laplace transform of the function f (t) e2t = e2t using direct integration.

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Q: 8. Using squeeze theorem, show that the following limit (x – 1)² In x = 0. lim (x,9)→(1,0) (x – 1)² ...

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Q: II. Solve for the indicated variable. x2 5x+7 2 X-1 + 4 a. for x 2-x 4 3

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Q: olve each problem . Point P is located at (-9, –5)and point Q is located at (-9, –8). What are the c...

A: Given points are P = (-9, -5) and Q = (-9, -8)

Q: (-5)×(-7)

A: We need to multiply tow negative numbers  product of two negative numbers is positive

Q: 1. (~pVq) — (р %3D q) 2. (~рлq) V~ (r ) (p = q)

A: To construct the truth table of the given propositions.

Q: In Figure below, what is the electric potential on the moving charge +10microcoulomb due to a source...

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Q: (a) The equation of a surface is given as f(a,y) = e"(x* -ay + y*). 1 (x2 (i) Calculate all first an...

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Q: y y 2.0 1.5 -1.0 - 20 -10 40 20 0.5

A: The given equation is y=x2x2+147 to find the x intercept put y=0 y=x2x2+1470=x2x2+147x2=0x=0 therefo...

Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -...

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Q: please match all the definations

A: We have to match the definations with the Left hand side table.

Q: Given the set C=(2,4,6,8}.Consider the relations R 1 and R 2 defined on C as follow: (x, y)e Rz if a...

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Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

A: The given problem is to show the given sum and product of two complex numbers in terms of polar coor...

Q: Evaluate: 2

A: Complex number, value Using De Moiver's theorem.

Q: 4) Let n-1 f(T) = T" +) a; · Ti i=0 be a monic polynomial of degree n > 1 with a; E Z for all 0 < i ...

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Q: Determine whether each of the following series is convergent or divergent using the appropriate test...

A: Note:- Here given series are varies from n equal 1 to infinity  If given series varies from 1 to n t...

Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: 5. Explain why the congruence r = 2 (mod 4) has no solutions in Z.

A: We have to show that the congruence x2≡2(mod 4) has no solution in ℤ

Q: 22. If z³ = 1 - 2i

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Q: 2. 3 4. 21 4 FIND THE 3 4 2 DETERMINANT 4. 3 1 2. CS Spanned with GamScanner

A: Given A = 1234214334214312

Q: Find z in 2= Sinh (4-j5). cos (4-5) express in polar porm

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Q: The equation of a plane is (X,Y,Z)= (1,0,0) + s(-1,0,-1) + t(-1,2,0),s,t ER. Determine the vector eq...

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Q: 6- find a, b and cif: w:a.tan Cx"+)- bxy + cy Ln しそ) + cy Ln LZj そー2 t-z X ニ x = zt? y =2e and z: 2t...

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Q: 1. Integrating factors found by inspection: (xy' +xy dx+(x²y² – 2 dy = 0 (xy³ + xy kdx + (x²y² – 2\d...

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Q: 2. Find the Laplace transform of the following functions. (Use the table.) (a) g(t) = 2e“ + 21²e“

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Q: \ Let v = (v, v2) be a direction vector on a line . The number 8 %3D defined to be the slope of the ...

A: This is a problem of geometry and vector algebra.

Q: 6. Let f: A R be a continuous function. Show that if A is compact then sup f(A) e f(A).

A: Sup(A) under the continuous function

Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US a...

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Q: By partial fractions ſcos'x sen x dx

A: We have to evaluate the integral ∫cos3xsin4xdx by using partial fractions.

Q: 5. Consider the function f(x, y) = x* + y* – 4xy+ 1. (a) Find all critical points of f(x, y). (b) Us...

A: Maximum and minimum of the function, using second order derivative test  

Q: Given the set C=(2,4,6,8}.Consider the relations R 1 and R 2 defined on C as follow: (x, y)e R; if a...

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Q: Let A be a diagonalizable nx n matrix and let P be an invertible n x n matrix such that B = P-AP is ...

A: The complete absolution is in given below

Q: PLEASE don't use excel for this. Show the solution with formula needed. COMPOUND INTEREST 1. What ra...

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Q: 7. Solve the recurrence relation A, = 4 A2 - 3.A1 subject to the initial conditions A, = 5 and A, = ...

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Q: Evaluate the iterated double integral: x+4 sin (y – 3y?) dy d.x x+4

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Q: Premises: Vx(L(x) → H(x)) 3x (~ J(x) A L(x)) Conclusion: 3x (H(x) A - J(x))

A: Given that Premises:      ∀xLx→Hx                        ∃x~Jx A LxConclusion:  ∃xHx A ~Jx We have t...

Q: 4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X3 s 120 X - X...

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as appr...

Q: x² y? + z = 1 4 9.

A: Given equation  x^2/9 - y^2/4 +z = 1 this is equation of hyperbolic Paraboloid.  Quadratic Surface :...

Q: 3. Let A = (-1 2 and B = 2 0 I. Compute tensor products A®B and B® A: II. Compute Hadamard products ...

A: Given A =01-12 &amp; B =1220 1. we have to compute the tensor product A⊗B &amp; B⊗A  A⊗B = 01-12⊗ 12...

Q: Solve the boundary value problem. y"+ y = x2 + 1, y(0) = 5, y(1) = 0

A: We solve the given boundary value problem  y"+y=x2+1.......(1) y(0)=5,y(1)=0

Q: c) The operation (ao + a1r + azx², bo + bịx + b,x²) = aobo + a¡b1 – azbz defined on P2 has all the r...

A: We have to check whether the operation defined on P2 satisfies all the properties to be an inner pro...

Q: 3. A curved surface is described by z =(x² + y³)³/4. a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2...

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