Find the number of distinguishable permutations of the letters of the word PRESS. * 60 30 15 120

Q: For any integer n, either n2 mod 4 = 0, or n² mod 4 = 1.

A: For any integer n, we prove that either n2 mod4=0,  or n2 mod4=1

Q: Find the vector x determined by the given coordinate vector [x]g and the given basis B. 4 4. -3 B= -...

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Q: Determine whether the following sequence converges, and if so, find its limit. Sn! l ){ (b) {n°e >»}...

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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: Find the future value of the following ordinary annuity. Periodic Payment Interval Term Interest Rat...

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Q: Evaluate: tan -12ß dß. A ß tan-128 – In|1+4ß²| + C B none of the given choices ß tan-12ß + –In|1+4ß2...

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Q: 3) Draw a sketch of the following function. Make sure you include all the details, such as the domai...

A: given function y=x3+x2-x-1 a) domain of function is ℝ b) x-intercept = -1,0 , 1,0 y-intercept = 0,-1...

Q: Simplity (A'N BnC') U (A' nB'nc)u (ANB'n c') u (ANBNC)u (ANBNC)u (ANBnc)

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Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly 1...

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Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the syst...

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Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x + (y - 2)2 and the planes z = 1, x...

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Q: (A) For any matrix A, we have det(A" A) > 0. (B) If M is a square matrix with QR-factorization M=QR,...

A: This is a problem of Linear Transformation.

Q: Estimate the area under the graph of f(x) : 1 over the interval [- 1, 1] using ten approximating rec...

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Q: 6. Determine the equation of the tangent to each curve at the indicated value. a) f(x)= (x2- 3)(x² +...

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Q: The sum of an integer and 4 less than that integer is even.

A: If an integer is divisible by 2 then it is even.

Q: For each of the following functions: (a) Find the linearization L at a = 4. (b) Use the linearizatio...

A: let y = f(x) is the function  to find local linear approximation at x= x0 we need to find equation  ...

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector 3B + A. Sketch...

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Q: Find the z-coordinate(s) of the inflexion point(s) of the graph of f(z) = 2z-3z2 +1 - 1. %3D

A: It is given that,               fx = 2x4-3x2+x-1  .................(I) We have to find the inflexion...

Q: Parker has two options for buying a car. Option A is 2.1% APR financing over 72 months and option B ...

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Q: Determine if the following functions are analytic or not: 1. f(z) = (z* + 1)³ – 3z* where z is the c...

A: (i) The  given function is ;               fz = z*+13 - 3z* We know that a function  f is analytic a...

Q: Consider a credit card with a balance of $7000 and an APR of 16.5%. If you want to make monthly paym...

A: Solution:

Q: 1. Which of the following functions have a derivative of zero? a) y=9.8 b) y= 11 5 c) y= -4+x d) y =...

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Q: Consider the 2n-periodic function f(x) = cos²(x) + sin³ (x). (i) Calculate the Fourier coefficient a...

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Q: V105 + V11 V17 - 17- V2' ) For the expression (a) use three digit rounding arithmetic to compute the...

A: Solving an equation means simplifying the equation and finding the exact value of the expression. Th...

Q: Find the sum of the series. (-1)" 42n+1 (2n+1)! n = 0 Σ

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Q: x1 x2 x4 x5 x6

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Q: and the equ atioN A If A s an mxn matrix Ax=bb consistent for every ein R", them A has m pivot colum...

A: Solution a) If A is an m×n matrix and the equation AX=b is consistent for every b in ℝm, then A has ...

Q: Let A denote the formula (Vx)f(x, x) = z → (3y)4(x, y, z) = ¬(Vx)f(x, x) = z V (3y)4(x, y, z) (1) De...

A: Given- formula for A To find- 1) whether variable is free or bound 2) abstraction of A 3) whether A ...

Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of th...

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Q: The function (x) Vx has been transformed to g(x) - Vx +4 + 3. Which of the following explains the tr...

A: 15 Given that the function fx=x has been transformed to gx=x+4+3. We have to explain the transformat...

Q: Consider the differential equation dy dy 4=x? ху =1, where x <2 and y=1 when x= 0. (a) Use Euler's m...

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Q: Sarah has an average of 94 on her 5 science quizzes. If her teacher drops her lowest grade of 81, wh...

A: It is given that ; The average marks of Sarah on 5 sciences quizzes  = 94 And if  teacher drops her ...

Q: 48. Σ 1+ k k=1

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Q: f(x) = x sinx – 4 A. Find the root of this function in between the interval [6 , 7] using the NEWTON...

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Q: 3. [1 Set up an integral that represents the volume of the solid obtained by rotating the region bou...

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other subpa...

Q: Find the tenth term of the sequence. 1,0, -3, -8, - 15, ... The tenth term is

A: Given series: 1, 0, -3, -8, -15

Q: Given the following simultaneous equations: -2x1 + 2x2 + 9x3 + 1x4 + -1 = 0 5x1 + -1x2+ -5x3+5x4 +-7...

A: For better understanding, we use a, b, c and d at place of x1, x2, x3 and x4, respectively.

Q: 1. Calculate the volume bounded by y = x², y = 0 and x = 2 rotated about the specified line, using t...

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Q: Solve the given linear programming problem using the table method. The table of basic solutions is p...

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Q: 4. Let E denote the set of all 3 x 3 orthonormal matrices whose first column is (0, 1,0)". (a) Write...

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. -4 [x] B% = ...

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Q: olve the initial value problem: t+1 :- и— 1 u' u(0) = -2

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Q: please answer in a digital response so I may fill in the blanks, thank you in advance!

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Q: mDE = 8.73 in. 10 in. E

A: Given: Arc length = 8.73 in Radius = 10 in

Q: A well has an initial rate of 550 STB/D and an initial decline rate, D0, of 0.02/month. Determine th...

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Q: 7. Consider solving the initial value problem dy yt²- 1.1y, dt y(t = 0) = 1, from t 0 to t 1. (a) Fi...

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Q: Your team will be playing 13 basketball games during the first season. In how many ways can the team...

A: Multiple:    Here total 13 Basketball games. Also there are 8 wins , 2 losses and 3 ties. We know th...

Q: Use the fact that the volume of a tetrahedron with adjacet edges given by the vectors u, v and w is ...

A: We determine the volume of the tetrahedron with vertices P(-5, 4,0), Q(2, 1, -3), R(1,0, 1) and S(3,...

Q: Calculate the iterated integral. 16 dy dx

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Q: Let i = [-1 4] and j = [-4 1]. Find the following vectors. i = 62 i = -6j = | w = 62 – 6ỹ = = [ -

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