1ons: Solve the following problems. A card is drawn at random from a box of 20 cards numbered from 1 to 20. Find the probabilities of the following events happening. a) Getting a number which is multiple of 4 b) Getting an even number

Q: 13.10 Find the minimum of the following function using simulated annealing: f (X) = 6x – 6x1x2+ 2x3 ...

A: f(x)=6x12-6x1x2+2x22-x1-2x2  fx1=12x1-6x2-1  fx2=-6x1+4x2-2

Q: n3" E(-1)"; 22n+1 n=1

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Q: Fourier Series: f(x)= -x/π+ 1  ,  [- π, π]

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Q: Use the annihilator method to find a general solution of y" + 4/ + 4y = 10zr³e 2=

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Q: Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row operati...

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Q: Given the initial conditions x(pi/2)=0 and x'(pi/2)=1 Being the ODE: x''+ x = 0 and its family of so...

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Q: 3x Find the sum of the Fourier series of the function Ax) = e* -1<x 1 at x = -1 OA g3 O B. -3 OC 3-3...

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Q: (a) For what values of x is the following series convergent? Σ 00 n=0 (b) Find the value of x that s...

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Q: t+/t+vE lim t→+∞ Vt+1

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Q: 2. Give the state table for the finite-state machines with the following state diagrams. 0,0 Start S...

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Q: Use Stokes' theorem to evaluate the work done by the force field F = ((f(x, y, z), 5xy, x+ yz), wher...

A: As per the question we have to find the work done, which is basically a line integral of the vector ...

Q: Evaluate the determinant of the matrix by a cofactor expansion along the fırst row. --1 1 4 A = 3 0 ...

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Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

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Q: Suppose the function ) has a domain of all real numbers except x-8. The first derivative of fx) is s...

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Q: Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive...

A: Solution

Q: Find the root of an equation f(x) = x^3 - x - 1 = 0 until estimated error Ea falls below the level o...

A: Here the given equation is f(x)≡x3-x-1=0. At first we find the interval in which the function change...

Q: Kindly solve this without shortcut. Very complete solution. Thank you! (4x3 y – 15x2 – y )dx +(x4 +...

A: we have given the differential equation  4x3y-15x2-ydx+x4+3y2-xdy=0 we have to solve the given diffe...

Q: The price of a certain item is given by the equation p= 240 – 0.05x where x is the number of items b...

A: Solution

Q: Please help with this discrete math question with details on how to do it. Need help with question #...

A: To find- Use polynomial fitting to find a closed formula for the sequence ann∈ℕ0: 1, 3, 11, 31, 69, ...

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations  

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: Slne che Disferential Equateos: =x² -x+\ method of wndetermined Eocffidento. byuaing the

A: The given problem is to solve the given linear non homogeneous differential equation using the metho...

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

A: To find alpha when A^2=B

Q: Assuming a group has one uniform rate, 40% of the group receives a 10% rate increase and 60% of the ...

A: We will consider that the group has total 100 members and each member of the group has a uniform rat...

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: Let S = {0,1}. Let W be the set of finite strings over the set S. Define a function f : W → set of n...

A: (a) since the length of the string 0 is 1. so f(0)=1 (b) take two strings such as 1010 and 0101 then...

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building...

Q: x,0 <x <1 CO.2 a) Show that the function f(x) given by f(x) = }k - x,1 < x< 2 is a probability densi...

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Q: solve the differential equation xe8Ydx + (7xy+8x²e®Y)dy=0

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Q: 3 K find OXA Curd A) at

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Q: 1 3 -4 2 0 0 0 0 0 0 0 0 -1 6. 1 -3 7 1 4 -3 0 0

A: Remark:  We know that the maximum number of linearly independent vectors in a matrix is equal to the...

Q: If z= 1 - 2i

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Q: Kenton and his friend have  of a drawing pad to share equally. Based on the model, what fraction of ...

A: Given that Kenton and his friend share a drawing pad equally.  We have to find the fraction of the w...

Q: 1 find the length of the curve x = 7y* + y2, from y = 1 to 24 y = 2.

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Q: Simplify: i29 + i?1 + i2050 in form a + bi.

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Q: Build a Diff. equation that expresses the phenomenon . Newton's law of cooling and heating, write t...

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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: cosx sec? x + cos x csc csc? x csc? x secx cos? x cos x cos x E f(x)dx _ 2 1. If f(x) 1 , then

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Q: Find the inflection points of the function f(x) = x 2 ln x

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Q: The 25 staff members of an office decide to hold a Kris Kringle to celebrate the holidays and draw n...

A: Number of way r objects can be selected from n objects =nCr=n!r!×n-r! Also  we have to use Derangeme...

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

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Q: Write in the form a + bi the expression i>217 - j427 + j18

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Q: Зх — 8 If 3 3 = 0, then x = ? 3 3 Зх — 8 3 3 Зх — 8 -7 6 -4 1 Find the product: 1 -4 3 1 1 1 1 1 1 I...

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Q: (Give your answer in the form (*, *). Express numbers i

A: Given, the parallelogram is spanned by the vectors 7, 10 and 9, 5.

Q: 1. Three vectors , A , B and C are related as follows: = 2 @ В 180° , A + C = -5 + j 15 , C = conjug...

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Q: The angles of elevation to a weather balloon from two points, A and B, on the ground are 37° and 52°...

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Q: fi(x1, x2) 2x} – x3 – 1 = 0 X1x – x2 – 4 = 0 f2(x1, x2)

A: Given linear system is f1(x1,x2)=2x13-x22-1=0f2(x1,x2)=x1x23-x2-4=0 Newton method's formula is x1n+1...

Q: a) у %3D (-х — 1) + 2 4 3 1 -5 -4 -3 -2 -1 1 4 5 -1 -2 -3 -4 -5 Left: Right: 3. 2. 2.

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Q: Solve the following linear system by Gauss elimination. -2b + 2c = 8 %3D 4a + 16b – 8c = -4 %3D 8a +...

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Q: Find the volume of a right pyramid that has a square base in the xy-plane. –1 < x < 1, –1 < y < 1, a...

A: Solution is below.