Find the volume of the region R.

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Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

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Q: Use the cutting plane method to solve the following IP: max z = x1 + 2x2 x1 + x2< 10 s.t. 2x1 + 5x2 ...

A: First draw the line x1+x2=10 and mark the region for the inequality x1+x2≤10.

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Q: The rate of change of the temperatu

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Q: Use C.P. and/or I.P. to prove the following.  a) 1. (A ∙ O) ⊃B 2. B ⊃~O 3. A ⊃O                 ...

A: Note: The symbols and format in Part c are not proper, so we will solve the sub-parts a and b. Kindl...

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A: Given: Cost price of the dvd set is Rs 2109 Markup = 30% on cost price.

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Q: What Mclaurin Series this function represents: -를- n+1 = x n + 2 3 O a. In(1+x) O b. cosx O c. sinx ...

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Q: Discuss and trace the curve of the following equation. 2. y = x+3 у %3D 1. у %3D x²-16

A: The general form of a polynomial function is given by a0xn+a1xn-1+···+an, where a0, a1,···,an are co...

Q: 2 Integrate the function f(2) = (z - 10i) from z = 0 to z = 5 + 5i along the line x = y.

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Q: -1 -1 3. Find a particular solution of x' = -2 2 x+ 4 -1 -2 et

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Show that if z = x+ iy, then: | cosh-z|2 sinh x Hint: use the equation: | coshzf = sinhx+ cos"y

A: We have , z = x + iy We know that ,  coshz = ez + e-z2 Therefore , cosh (-z) = e-z + e-(-z)2 = ez + ...

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Q: Find the length of the arc of the curve 4y? = 9x3 from the origin to the point (2,3v2).

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Q: 1. Evaluate the given double integral by first changing its order of integration 1 •1-y² ye(1-x)² dx...

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Q: 2. If one of the eigenvalues of [A]nxn is zero, it implies (a)The solution to system of equations [A...

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Q: olve the linear system using Gauss Jordan Method only. 74 6y + 4w - 8z = 315 151 5x +2y - 2w = 105 1...

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Q: 46. Find the volume of the solid produced by rotating the region enclosed line y = -1 that is bounde...

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Q: Consider the integral // | 2z°dzdyda, where E is the tetrahedron with vertices (0,0,0), (5,0,0), (0,...

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A: We have given a series ,  ∑n=3∞2n3 We need to determine given series convergent or not. for that tak...

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Q: The sequence{In(n + 1)} is اختر أحد الخيارات a. strictly decreasing b. strictly increasing c. increa...

A: We have given that a sequence ,  ln(n+1)1∞. We know that , A sequence an is increasing if an+1 ≥ an ...

Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)² = 4(y + 2) ...

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Q: Calculate the months supply of warehouse speace in a market that absorbed 45000 square feet last yea...

A: Total supply in the last year = 145,000 vacant square feet =10,000 Out of that   are ; in monthly (1...

Q: diag(a1, ..., an) be a diagonal matrix (i.e., the matrix with the numbers a1, ..., an on the main di...

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Q: How many six-digit even numbers greater than 500 000 can be formed using all of the digits 1, 2, 2, ...

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Q: Complete the proof of Property 4 of the following theorem by supplying the justification for each st...

A: The required justification is given below

Q: a 1 In parts (a) - (c), prove that for all n E N: (a) n-1 k k=0 (b) ¿(:)-- 2n+1 k k-0 (c) E(-1)* k=0...

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Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 2ky + k² = 0 and ...

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Q: ~(W=A) = ((~Wv~A) · (~AÉW))

A: This is a problem of logic.

Q: dy +ky = a sin bx dx %3D Show that the solution of the differential equation is given by: 2 +b²+ab K...

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Q: Ruler axiom. There is a one-to-one correspondence between any line and the set of real numbers. How...

A: We will use the basic knowledge of mathematical logic to answer this question properly, in detail.

Q: Exercise 2 Let f be the function defined on [0, 1] by if x + 0; {(2) = { sin(). if# 0; f(r) = 0, if ...

A: Theorem:- A bound function f , having a finite number of points of discontinuity on [a,b] , is Riema...

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Q: Given the integral: 4 dr. Evaluate using Romberg's method. Tolerance = Næ1o 6 %3D 1+x²

A: Use the following formulae, to estimate the integral ∫abfxdx by the Romberg integration method. h=b-...

Q: 27 1+1 Evaluate the expression (2i – 1)² Express the answer in rectangular form. 1+i,

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Q: Find the general integral of the following first order partial differential equations p+11lq = 7z+co...

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy problems....

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,...

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Q: Try to fit any two moving averages models to the following data and discuss its performance. YEAR 20...

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Q: Let V denote a vector space over F. Suppose {B1, B2,..., B1, B41} is linearly independent in V and {...

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Q: If f(t) = etsintcos3t, find L{f (t)} and L{f }.

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