A 6-digit PIN is selected from the digits 0-9. What is the probability that they are all different digits? (The PIN may start with a 0) O 10 P6 6! 6! 10! O 6 P6 106 O 10 P6 106

Q: f(t) = t² cos 6t 2s(108-s2) 2s(s²-108) А. (s2-36)3 C. (s2-36)3 2s(108-s?) В. (s2+36)3 2s(s?-108) D.…

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Q: Solve the differential equation of dy/dx + 1/3 y = e^x y⁴

A: Divide both sides of the given differential equation by y4 to obtain the right hand side y free.…

Q: for x[z] given by z1 x[z]

A: Given xz=z-11-z-2 then we have to find x∞ xz=1z1-1z2

Q: 1. Solve the following ODE by the method of variation parameters 4y" – y = 1. (Other methods are not…

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Q: Find the volume below the surface z = x2 + y2 and above the xy-plane for −1 ≤ x ≤ 1,−1 ≤ y ≤ 1. (b)…

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Q: Find a primitive root (i.e. a primitive (p? – 1)st root of unity) in F3[i], and write down the…

A: F3i : It is the unique field of three elements. It can be defined as the ring of integers of modulo…

Q: Express 7 (cos 300° – i sin 30°) in polar form.

A: convert in polar form

Q: Given the following matrices, perform the indicated matrix operation. 8 1 [5 1 -2 -3 -4 0 -9 3 1 7 2…

A: We can solve this question using given information , first we multiply 4 into matrix B next we…

Q: 3 2 -1 Rank of the following matrix is A = 4 2 6 7 4 5

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Q: 1 (iii) 1 + 22 22 00 マ7メ

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Q: f(t) = cos² 3t %3D s2 +9 A. s(s2+36) s2 +18 C. s(s2+36) s2 +6 B. s(s2 +9) s2+18 D. s(s2 +9)

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Q: ty 100 (5, 96) 80 60 (4, 48) 40 20 (3, 24) (2, 12) 4 6 8 Which statement is true about the graph? a.…

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

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A: It is given that ;                  fx = 6x2-13   ;   x ∈ [-1, 2] We have to find the absolute…

Q: f(x, 3) = In(x? + Y²òf function P(3,4) at the point of i = (9, 12) Directional derivative in the…

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Q: If the order of A is 4x 3, the order of B is 4 x 5 and the order of C is 7 x 3, then the order of…

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Q: Determine which number, 0 through 6, is the given number equivalent to in modulo 7. Write your…

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Q: Use the Gauss-Seidel Method to these linear equations. How many iterations will there be until two…

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Q: Question B1 a. Calculate the line integral [F•dr. where F = 3x²y²i + 2x°yj for the curve C. Here C…

A: We need to find line integral of vector field  line integral of vector field F→ along a curve C…

Q: 1 1 1 1 --1 2 1. A = -1 2 1 3. 3 2 1-10 0 -10 0. 6. -5 0 10 2. B = -2 4 -5 -4 -2 From the given of…

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Q: f(t) = t cos 4t 8s 8s А. (s2-16)2 C. (s2+16)2 s2 +16 В. (s² –16)² s2-16 D. (s2+16)2

A: We have to find the Laplace transformation of ft=tcos4t

Q: After 3 iterations of Newton-Raphson Method, solve for one real root of + 2x + 10x - 20 = 0 with zo…

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Q: 2. Given Ü = 7î – ĵ + k and W = -2î – 5ĵ + 6k , compute a) Proj w V and b) Proj y W

A: Ya

Q: The equatiokn  Y = (x,y)T  is given as a vectorfunction with 2 components and A = table below 3 2 2…

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Q: Prove: If S is compact, and ƒ is continuous on S, then ƒ takes a minimum value some- where in S.

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Q: If A = 1 , then the value of A“ is

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The order of a…

Q: Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The…

A: Given: Let us consider the given two sinusoidal periodic functions fx and gx

Q: The measure of arc BC is 97 degrees. What is the measure of angle BCE to the nearest 100th? C D Type…

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Q: discussion Derive the Laplace transform of a test signal : f(t)=3sin(wt)

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Q: 1. The coefficient a, of the Fourier series of the periodic function f(t)= (2t 0<t<2 0 2<t<6 is…

A: Some of the books use the Fourier series as first coefficient a0, some of the books use this as…

Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

A: Solution

Q: HW Problem 32. various reasons. Suppose this figure was obtained from a random sample of 20…

A: Because of less sample size we use T distribution.

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

A: Given : the equation of a plane is  x-y+z=5  and the line passes through (1, -4, 1)  and (4, -10,…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: =At iteration i=3, b .2 f (x) = x³ – x – 2

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Q: (2x - y)da + (4æ + y- 6)dy = 0 C = x - y-1 Option 2 None of the choices C = x +y- 1 C = x-y+1 Option…

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Q: Example: Solve the following system of linear equations using Crout method. 1 1 -4 -1) x2 = (2 0 -1…

A: Given a system of linear equations                                                 4101-4-10-14…

Q: The value X1.1 -2 x1 + - X1 + x2 + 7 x3 = -6 4x1 — Х2 — Хз %3D 3 6 x2 + x3 = 9

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Q: For the following boundary value problem, use the collocation method to determine a solution of the…

A: Collocation method is used to find the numerical solution of the ordinary differential equation.…

Q: Let R be a commutative ring with identity and let I be a proper ideal of R. Prove that R/I is a…

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Q: Q7-8. Is it possible to convert a present value of an ordinary annuity table to the present value of…

A: Given:To convert  a present value of an annuity of an ordinary table to the present value of an…

Q: Considerthe linear DE y-y=4e". According to the undetermined coefficient method, the particular…

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Q: Find all the pairs of integers (x, y) that satisfy 287x – 406y = 27.

A: This is a problem of Diophantine equation.

Q: by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=10X1+25X2…

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Q: Show that in the factor ring Z[i] / , the element x + is a unit.

A: Given a factor ring Zx2x+1=a0+a1x,+⋯+2x+1 |a1∈Z  As 2x+1+2x+1=0+2x+1 Since,  2x+1∈2x+1   as aH=H iff…

Q: x+1 x+2 x+4 The value of x+3 x+5 x+8 is: x+7 x+10 x+14| (a) –2 (b) 2 (c) x²-2 (d) x² +2 Select the…

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Q: T(n)=2T(n-1)-T(n-2), T(0)=1, T(1)=1.

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Q: Problem 1: Given: -2,3,8, 13, ... Find the following: (a) 6th term of the sequence; (b) an formula…

A: Here we use arithmetic progression.

Q: Compute the following limits using L'Hospital's rule if appropriate. Use INF to denote oo and MINF…

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Q: y'sec*xdx – (1– 2y'tanx)dy = 0

A: We solve the given DE  y3sec2xdx-(1-2y2tanx)dy=0.......(1)

Q: True or False: An inscribed triangle divides the circle into three arcs, 148°, 200° and 12°, then…

A: Given : A triangle divides the circle into three arcs 148°,200° and 12°