Let p be prime. Show that C) mod p = C for 0

Q: 1. Solve the DE: (cos y- cos x)y' +cos y sin 2x = 0

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Q: An artificial lake is in shape of a rectangle and has an area of 9/20 square mile. The width of the…

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Q: Use spherical coordinates to calculate the triple integral of S(x, y, z) = Vx? + y + z? over the…

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Q: 15 Part B What is the approximate length of KL, in feet? A. 19.1 В. 22.0 С. 38.1 D. 44.0

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Q: Find solution of equation 2 o(x) = 2f cos(x-1t) ø(1)dir

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Q: The gasoline consumption of Chevy vans is known to be approximately normally distributed. If a…

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Q: Fred and build the together, 1st how mu 2nd how mu 3rd how do 4th Write ar 5th Work, sc Suppose Ban…

A: Fred can build the desk in 8 hours  Barney can build the desk in 6 hours Let x be the time in hours…

Q: dx + 2– + x = u(1) x(0) = x'(0) = 1 dt

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Q: Integration by Trigonometric Subsituion 10.) x² Arcsin C) dx

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Q: Let E denote the region in the 1st octant bounded between the planes x = 0, z = 0, y = 4, 2y −z = 0…

A: (a)

Q: Suppose the position of a particle is given by parametric equations x(t) = t-3 and y(t) = 5t2. (a)…

A: All real numbers can be represented on a line called the number line. The number zero corresponds to…

Q: Determine the z-transform of the following sequences using the z-transform table and the z-transform…

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Q: Solve the value of the variables using Gauss Elimination with checking. Write the values of the…

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Q: Use the Newton Raphson method to find the second iteration of the root to 5 decimal places of the…

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Q: 1.) f(t) = (cos3t – te2t)²

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Q: Q2: Construct the second order Lagrange interpolation polynomial for the function f (x) = In(x + 1)…

A: Given table

Q: Using secant method, detemine a root of sin x – x with initial guesses x, = 0.5 and x, = 1…

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Q: Solve the equation e* – 4x using Newton-Raphson method Select the correct response: NRM cannot be…

A: Newton Raphson method for two roots

Q: Why does the linear congruence 25x ≡ 30 (mod 75) have no solutions?

A: To show that the linear congruence 25x≡30mod 75 have no solutions.

Q: 1/3 2/3 Consider the Cobb-Douglas production function f(x, y) = 40x''°y²'°. Compute f(27, 125),…

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Q: 10 T-1 23 10T 0 -2 -11 3 B = -5 -11 -3 4. 1. Given the matrices A = C =[-3 2 9 -5 7]. 9. -1 9. -6 -4…

A: Given matrices are A=-123100-2-11, B=-62103-34-5-1191-19, C=-329-57D=-26-52, E=3, F=35-117,…

Q: 10. * A calculator has an eight-digit display and a decimal point that is located at the extreme…

A: Given: The calculator has an eight-digit display with a decimal point on the extreme right of the…

Q: If the number ordered is O, the number backordered is B, and the number shipped is S, which formula…

A: S = number of items shipped O = number of ordered items B = number of items backordered.

Q: What is the z transform of x(n) = 1, 0<n< 5 a. z1 + z2 + z3 + z4 + z-5 b. z + 1 + z1 + z-2 + z-3 +…

A: Here first we find Z transform of unit step function, then find Z transform for 0≤n≤5

Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy

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Q: The graph of a polynomial f(x) with leading coefficient 1 and integer zeros is shown in the figure…

A: Given graph of polynomial f(x) in figure. We have to find the complete factored form of f(x).

Q: Let G be a connected graph that has exactly 4 vertices of odd degree: V1, V2, V3 and V4. Show that…

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Q: How many permutations are there of 10 people arranged in a circle? 10 10! - 1! 362,880 3,628,800

A: The number of permutations of n elements in a circle is (n-1)!

Q: Use the critical path algorithm to create a priority list for the digraph below. T1 (2) T4 (12) Т6…

A: To find- Use the critical path algorithm to create a priority list for the diagraph below. Priority…

Q: Show the differential equation. Choose your answer from the choices below. A. e^x + x²y= Cy B. e^y -…

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Q: A. If G(2) = F(z) · H(z), then G' (3): %3D B. If G(w) = F(w)/H(w), then G' (3)

A: Derivative of function at point

Q: What is the z transform of x(n) = 1, 0 <n<5 a. z1 + z2 + z3 + z4 + z5 b. z+1 +z1 + z-2 + z3 + z4 1+z…

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Q: Use exponential regression to te the data set. (Round your answers to two decimal places) 34 S…

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Q: Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give…

A: We first give the right option for  the direction field of given differential equation then give the…

Q: Find the arclength of the curve below over the interval -1<t<1

A: Here we have to find the arc length of the given curve.

Q: For f(x) = 7x +4 and g(x) = x, find the following composite functions and state the domain of each.…

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Q: Q1. Solve the following linear system using Gauss elimination method: 3x + 9y +3z = 3 a + 3y +3z = 2…

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Q: Find the fourth degree Taylor polynomial, T(x), for f(x) at-4. f (a) = xe -3m a) Find the following…

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Q: Let x and y be the real numbers and P(x,y) denotes = 1. Find the truth values of: 1. VVy P(x, y) 2.…

A: Given, x,y are real numbers P(x,y) denotes xy=1 To find: Truth values of - 1) ∀x∀y Px,y2)∀x∃y…

Q: Refer to the figure below to answer numbers 16- 20. 16. If m Ze = 45", then m Zh = b. 135° b. 45 c.…

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Q: Determine the z-transform of the sequence x(n) = {3, 0, 0, 0, 0,6, 1, 4} using z-transform…

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Q: Consider the solid formed by rotating the region R about the line x = 5. Using your sketch from (a)…

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Q: Aside from finding the optimal routes, what are other real-life applications of Hamiltonian…

A: To write: (i) Applications of hamiltonian circuits. (ii) Applications of Graph theory.

Q: How many 5 digit odd numbers can you make if the digits 0-4 are available and each digit may only be…

A: Combination of the muber

Q: 1. Determine the graph of the given equation. a. x2 + y? + z2 – 8x + 4y + 2z– 4 = 0 b. x2 + y2 + z2…

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Q: Let a, b and c be integers. (i) If cla and alb then cb. (iv) If cla and cļb then c(sa +tb) for all…

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Q: Find a general equation of the plane through the point (2,9, 6) and parallel to the plane x + 5y +…

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Q: Determine the z-transform of the sequence x(n) = 3"u(n – 3) using z-transform properties. Express…

A: We find Z- transform of x(n)=3nu(n-3).

Q: 2. Suppose I wish to define a function g : {0, 1, 2, 3, 4} → Z that takes an input of an equivalence…

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Q: Determine the equivalent effective interest rate of the 20% nominal interest compounding ona monthly…

A: Given, Nominal interest rate( i )=20% =0.2 n=12 ( i.e. monthly compounded in a year means 12…