Find the largest product the positive numbers x, y, and z can have if x+ y + z² = 4. The product is (Type an exact answer, using radicals as needed.)

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: What is the transitive closure of the following graph? a

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Q: what is the symmetric difference ? And give examples

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Q: Consider the function, f(t) = t(4 – t) U(t) + (t² – 6t + 8) U(t – 2) + (2t – 8) U(t – 4). | ra)…

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Q: Consider the following nonlinear system i = 2x + 2y ý = x + y + x* a) Find the equilibrium points…

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Q: Mike has 5 sweaters and 7 hoodies in one of his dresser drawers. He reaches in the drawer without…

A: Answer: 2.5

Q: Find the laplace transform of cos at using the formula L{f (t)} | e"f (t) dHencefind the laplace…

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Q: at value does this series converge at x = 1? Explain. itial-boundary value problem du 3 a?u 0 0 %3D…

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Q: Example 6.13. Prove that ge + 8 1+ 4 (i) A (ii) 1 + 8°µ? = | 1+ : 2+A 1 1+ 4 (iii) u = 2V(1+ A)

A: Please find solution below:

Q: 2. Determine the volume generated about y-4 the area boun ded bay ×キの x and x?ty =3 メ %3D

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Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

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Q: Suppose p is the statement There are 1,000 meters in one kilometer' and q is the statement "You will…

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Q: Let P. Q. R be true, false true, respectively. Which of the following is true? * PA ΡAQAR PA~Q ^~R O…

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Q: Example 3.32. Solve, by Relaxation method, the equations = 50; x + 5y-3z = 18 ; - 2x + 2y + 7z = 19.…

A: The system of equations given is as follows: 9x-2y+z=50x+5y-3z=18-2x+2y+7z=19 The residual from the…

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: What is the next number in this 63 72 76 code sequence? 112 ?

A: We have to find the next term of given code sequence.

Q: In this problem, y c, cos(4x) + c, sin(4x) Is a two-parameter family of solutions of the…

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Q: be sec of SIze an B SiZe HOW mons funce ions f:A B are there chas for every beB, there eleme n Es…

A: Given that the size of set A is  8 and size of set B is 4. Now to be total number of functions f:A→B…

Q: a Let S = { : a,b e R } . Show that Ø : C→ S defined by a b is a ring homomorphism. a Ф(а + bi)- a

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Q: onti at t=2 & cx) = 6 r X <2 メー 3メ+2 /25メ<3 is fis wnti at

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Q: If the determinant of a 5 x 5 matrix A is det(A) = 8, and the matrix D is obtained from A by adding…

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Q: Rounded to the nearest month, how long will it take an investment to double if it earns: a) 8.4%…

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Q: A committee of 6 is to be selected from 7 females and 9 males. What is the probability of having…

A: A committee of 6 is to be selected from 7 females and 9 males . To find the probability of having…

Q: The following table shows the results of a

A: Given, the following table shows the results of a survey of 400 authors by a publishing company.…

Q: Find the area of the region enclosed by y = 2.5r and r=4 . Use horizontal strips to find the area,…

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Q: Find all the roots of the given function. Use preliminary analysis and graphing to find good initial…

A: Given the function is  fx=4lnx-x2+6x-3

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +…

A: Given are the total sales of a company (in millions of dollars) t months from now are given by…

Q: What is the chromatic number of the given graph?

A: We have to find the Chromatic number of the given graph.

Q: 4. Find all real values of x such that |x-1| > |x+1]. * (-00,-1] (-00,0) [-1,0) [-1,1) None of the…

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

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Q: Give a recursive definition of the following sequences {a,}, n = 1,2, 3, ..... Put the appropriate…

A: We have to match the given recurring relation.

Q: If a 4 x 4 matrix A with rows ij, vz, vg, and ö, has determinant det A = 4, then det 9v1 + 9v4

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Q: (b) у" — 4у'+ Зу %3D Зе2х + 4е* + 2e3х

A: Given differential equation: y''-4y'+3y=3e2x+4ex+2e3xTo find: General solution of the differential…

Q: an 34an-1 – 289an-2 for n > 3 with initial conditions aj = 68, az = -1734. an

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Q: For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is…

A: This is a problem of linear transformation.

Q: 10. Determine the numerical value of the factor (A/G,15%,20). A 7.7217 12.5779 5.3651 D 7.5974

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Q: 21 o (z) = of the nth mode is cos for all n n² for odd n and 0 for even n n² for even n and 0 for…

A: Sol

Q: What is the rate compounded semi-annually that results in P625 accumulating to P1100 in 42 months?*…

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Q: Given the definite integral | f(x)dx a you can split this into two integrals 9. S. | f(x)dx + /…

A: Here in this question we have to says that the given definite integral ∫abf(x)dx can split into two…

Q: a bc If det de f ghi -- a b c then det 8d 8e 8f g hi

A: We want to find determinant of given matrix.

Q: Let T: P2 that is, 7. > P2 be the linear operator T(p(x)) = p(2x+ 1), T(co+ C,x+ C,x²) = c, + c,(2x…

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Q: Suppose that dP/dt- 0.14P(t) represents a mathematical model for the growth of a certain cell…

A: Given:the growth of a culture at time t is dPdt = 0.14P(t)P = 2 million cells

Q: if x = 2 ; for the if x + 2 uous at x = 2 the valu

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Q: Determine whether the set of ordered pairs is a function. {(3, 1), (3, 2), (3, 3), (3, 7)} O…

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Q: x-ビ ere S70 and --xe g 00ー

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Q: (a) Compute the following residue: Res 0 z°(1+2+ 22)*

A: (a) To Compute the residue Resz=0ezz5(1+z+z2)   Note: As multiple questions are asked, so only first…

Q: 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate axes in the first…

A: (1) Equation of a straight line passing through the point (x1,y1) is               y - y1 = m ( x -…

Q: If the determinant of a 4 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by…

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Q: Prove that both polar curves are symmetric with respect to the polar axis. Find the polar…

A: For symmetry with respect to the polar axis ( x-axis). We replace (r,Ѳ) by (r,-Ѳ) to determine…

Q: Ex:- Let G2 be graph Is G a connecto/graph ? a Gz |

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