The set of exhaustive values of m for which both roots of the equation x2 – 2mx + m2 – 1 = 0 are greater than –2 but less than 1, is

Q: If A = 40ej120°. B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

A: Here i=√-1. Sometimes j is used instead of i.  

Q: The managers of a pension fund have invested $1.5 million in U.S. government certificates of deposit...

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Q: The expression 3 + 4i is a complex number. Compute the modulus of complex number. a. 4 b. 5 c. 6 ...

A: Given complex number is 3+4i. We compute the modulus of this complex number.

Q: 2. In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the...

A: Given that number of people are 10 and Number of 1000- peso bills are 20. First it is needed to calc...

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...

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Q: 21. z² + (3 – 2i)z + (2 + i) = 0

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Q: please match all the definations

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

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: One of the following statements is true:

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Q: Fpuation: 16

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Q: E. 1. Let R = {(0, 0), (1, 2), (2, 1), (2, 3), (3, 3)}be the relation on A = {0, 1, 2, 3}. Then, R2 ...

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Q: Each graph represents f'cx) (not the original feinction t, a) x-coordinates of maximums 6) x- coordi...

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). %3D %3D = (0, 6) V = a b...

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Q: 1. If 1+ A is nonsingular, show that (I+ A)"' and I– A commute and (I + A) +(I+ A')"=1, where I is t...

A: Given I+A is nonsingular and we have to show that I+A-1 and I-A commute and  I+A-1+I+A-1-1=I

Q: xy = 4

A: Solution

Q: (ABI6 · Di6)- (11001,– 101,)+ (7g · C16) = N0 -10)-(– -10) =. -10×, -10--10) + -10

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Q: Example Let -- [1 -4 4 A = 2 -6 5. -5 4. The characteristic polynomial of A is CA(A) = -(A + 1)² (A ...

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Q: dz is equal z cos(2) The value of 4-T =4 (a) 2 (b) 3 (c) 4 (d) 5

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Q: |a 16. If A = |1 | and B = Is , then A? = B if a =?

A: To find alpha when A^2=B

Q: .. with n, m, E No for all i e {1,...,r}. Let a = p p... p and b p P (The existence of such a factor...

A: Let a=p1n1.p2n2.....prnr and b=p1m1.p2m2.....prmr with ni,mi∈ℕ0 For all i∈{1,.....,r}. To prove gcd(...

Q: Find the volume of the solid that lies under the paraboloid z = 102 – 2? – y? and above region R = {...

A: To find- Find the Volume of the solid that lies under the paraboloid z = 102 - x2 - y2 and above the...

Q: (i 3) 2 2 (a) Let A = be a 2 x 2 matrix. (i) Compute det(A) and tr(A) (i.e., trace of A which is the...

A: Note: We are allowed to solve one question at a time kindly upload remaining questions as another qu...

Q: Locate the highest real root of f(x) = 2x3 – 11.7x² + 17.7x – 5 a.) using fixed point iteration meth...

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Q: 17. Find the solution to the interpolation problem of finding a polynomial q(x) with deg(q) < 2 and ...

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Q: Apply the eigenvalue method to find a general solution of the given system. Use a computer system or...

A: Solution of the system of linear differential equations

Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14, -1...

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Q: Sketch the graph of P(x) = x*(x+ 6)(x – 4)*(x – 7)². Scale is not important, but your graph should h...

A: We have to sketch the graph of p(x).

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: Finde the eigeralues and Sche Iritia Value family eigenfundtiono

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Q: prove that it is not possible to find four distinct prime numbers p, q, r, s such that ps − qr = 0.

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Q: 3. Which of the following are subspaces of Mnxn: Justify your answers. a) Nonsingular matrices b) Si...

A: Let V = Mn×n be the vector space of n×n matrices. Then W is a subspace of V if  1. Zero vector is in...

Q: 34. dyldx = 2(3x + y)² – 1; when x = 0, y = 1 Answer: y = tan (2x + a/4) – 3x

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the ...

Q: A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at t...

A: Please see the attachment

Q: Prove that the set S of all matrices in M22 that have zeroes in exactly 2 entries spans M22. (Hint: ...

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Q: (a) Let A be an m × n matrix, and let B be the result of performing a single elementary row operatio...

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Q: Find the value(s) of c for which the following vectors v, = 1 and v4 -1 1 are linearly independent. ...

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c: a =, b =, c =.

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Q: Determine whether xT= (0,, ) is an optimal solution to the following linear 5. program. maximise rı ...

A: We are given a linear programming problem stated as a tabular form follows. MAX x =   0.5 x1 ...

Q: 21 Find rank (A) cud a besis for column spRce S,CA), row s pace SplA), an od hull space N (A) 2 -1 3...

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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: LOGIC: Find the truth value as directed if p and q are true and r and s are false. Use the space pro...

A: We will use following outcome of truth value to determine truth value of given statement  p q ~p ...

Q: A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meters of w...

A: Given A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meter...

Q: Solve the following system of congruences. By using Chinese Remainder Theorem X= 5 (mod 6) X = 4 (mo...

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Q: Use the annihilator method to find a general solution of y" + 4y/ + 4y = 10z³e 2=

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Q: Solve for Fourier coefficient, f (x) = Ssin x 02x2n T >x 22n

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Q: Show that the hypotheses: It is not weekend today and it is gloomy than yesterday. (¬WAG) We will go...

A: We first see that not gloomy and sunny or not sunny and glooomy are equivalent.  i.e., ~Gloomy ≡Sunn...

Q: ar converges if and only if lim a, = 0. r->0 ア=1 True False

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Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: -2 -4 2 -2 2 4 2 5 1.

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Q: Q5) find the inverse of the following matrices: sin(0) lo 31 ,b) B = [ ]. •) R = [ coS(0) sin(8) 2 0...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...