There are 49 fair coins in a bag and one double headed one. You take one coin out of the bag at random and flip it six times. It comes up heads six times. What are the chances it is the double headed one?

Q: Show that v = A = (7) -29 35 eigenvalue. 35850). " -20 26 is an eigenvector of the matrix and find…

A: To Show: v=74 is an eigenvector of the matrix A=-2935-2026, and find the corresponding eigenvalue.

Q: In a quadratic equation(y=ax^2+bx+c) how does the change in values created in the a,b, and c values…

A: Let us solve the given problem in the next step.

Q: Find the laplace transformation of the following function :- f(t) = Sint + i (il 000 1 f(t) = f(t) =…

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Q: Determine the Laplace transform of the differential equation. y² + 4y y (0) = 0 = Cost;

A: Sol:- y' +4y=costTake Laplace transform of both sides of the equationLy'…

Q: Q7. Find the Laplace transform of the periodic function f(t)= sin at for 0<t<¹ 0 for T @ -<t< @ 2π @

A: Sol:-

Q: Q3. Find the Fourier series for the function: f(x)=[x² for π² 1 6+ + + +... 6 1² 2² 3² = 0<x<27]…

A: Introduction: When a function is periodic, it must have an infinite series representation. This…

Q: Apply Optimal Runge-Kutta methed and y for the 3 obtain y, 1₂ and y² = t + 2y year=1 for the problem…

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Q: Find first maclaurin the following: four nonzero for Series each (21) √ 11 12 + S +++3 terms the

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Q: Given below is a complete solution of differential equations. Identify all LINES in the solution…

A: In the given solution of differential equation we have to find out the errors :-

Q: Recall that In ()-[(4-)r. 0²7] T, Then In ()= (-)T + o√TZ Where Z-N(0,1) Now Suppose NCB stock price…

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Q: = 0 4. Solve by hand the problem ut = Uxx in the interval [0, 1] with ux at both ends. Use the…

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Q: Given below is a complete solution of differential equations. Identify all LINES in the solution…

A: Introduction: A equation in arithmetic is Associate in Nursing equation that has one or additional…

Q: 10. Consider the equation u, = ux. Use forward differences for both partial derivatives. (a) Write…

A: Since there are many multiple questions, so here solutions of first three parts.

Q: Apply Euler method and Richardson extrapolation anthe problem ity: Itt y' year=o. and approximate y…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: A customer has cargo inbound from the port of Yantian to the port of Los Angeles . The LCL sell ra $…

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Q: ln p= a + b/t + cln(t) + dt^2 Is this equation linear or non linear

A: To determine whether the below equation is linear or non linear. lnp=a+bt+clnt+dt2

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Prove by induction that 1² +2² +3²+...+ n² n(n + 1)(2n + 1) 6

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Q: Let T: P2P₁ be defined by T (p(x)) = p'(x). Let B = {1+x+x²,1 + x, 1} and C= {1-3x, 1-2x}. Find [7],…

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Q: Given the same universal set, find the negation gation and the truth set of each of the ff:: ¹) Px…

A: To find- Given the set, find the negation and the truth set of each of the following: px ∧ qx : x2…

Q: √x+9 at x = 0. Write your answer in the form a+bx+cnxn n=2 where a, b, and each cn are constants.…

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Q: 1. Obtain the Taylor series solution of the initial value problem y' = 1-2ty, y(0) = 0 with h=0.1…

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Q: The input x(t) and the output y(t) of a nonlinear system are related  through the following…

A: Given Data: Let us consider the given differential equation, yt=x2dxdt+2x Let's demonstrate how the…

Q: (i) Evaluate the integral [useu useu du (ii) Using (i) prove that | x² e√² = ( √T)¹³ eV² — 5x²e√² +…

A: We evaluate this problem by integral by parts .∫fg'=fg-∫f'g In 2nd part we solved with the help of…

Q: Find the sum of the series. Σ (-1) 40x8n n! n = 0

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Q: K Solve the linear programming problem. Maximize and minimize z = 2x + 3y Subject to 2x + y ² 10 x +…

A: I have given the answer in the next step. Hope you understand that

Q: 18. Prove: n ΣΚ k = 0 = n(n + 1)(2n + 1) 6

A: The given problem is to prove the given following identity that sum of squares of first n natural…

Q: Find the eigenvalues of the matrix One eigenvalue of the matrix is 4 (₁ The other eigenvalue of the…

A: For the given matrix  One eigen value is 5  And other eigen value is -7

Q: Assume that P and Q are two positive distinct real roots of the quadratic equation (²₂. - -…

A: given quadratic equation t2-P+Qt+PQ=0 here assume that P and Q are two positive distinct roots of…

Q: 15. Given the graph of f(x) below, determine the equation for f(x) in terms of the parent function…

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Q: 1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows: W' (t)…

A: Given: The differential equation is W't=αWtλ−βWt. The given initial condition is W=100 at t=0. To…

Q: Suppose the solid Win the figure is part of a circular cylinder of diameter 8 and height 4 centered…

A: Here we will use relation between cartesian and cylindrical co ordinate system  z =zx = r cosθy =r…

Q: a) Examine if the following limit exists, If the limit exist, specify the value of the limit value.…

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Q: Q₂i- If show that utt ч (хо) ut (x,0) - a 9/x). Z 3 u (X, Z) 2 Ux(xt) = a as 1x1_-2 ux 9. 2 u XX…

A: Using D'Alembert solution for one dimensional wave equation.

Q: For the following systems of equations: 1. .) Write the system as Ax = b and form the augmented…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Fiona made a score of 76 on her midterm exam. For her to get a B in the course, the average of her…

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Q: (b) [₁³ sin (π(x – 2y)²) dA, where T is the triangle bounded by x – 2y = 1, y = −3x and 5y = -x.

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Q: Let po and p₁ be the polynomials in P2 given below, and let the inner product for P2 be given by…

A: Given: For any polynomials p, q∈ℙ2 the inner product of p, q is given by, p, q=p-2p-2+p0p0+p2p2…

Q: 5 ordinary six-sided dice are rolled. What is the probability that at least one of the dice shows a…

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Q: Apply Euler-Cauchy Runge-Kutta method for the equation: 2y t y (1) = 1 y' = and cbtain У, , Уг and y…

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Q: Let be two vectors, such that a=(3î+2j-2k) cm and b=(2î+2ƒ+k) cm, calculate: (A) C²=3(a¹·b¹)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find points of relative extrema of f on the circle x^2 + y^2 = 2 by using the method of Lagrange…

A: Consider the function f:ℝ2→ℝ given by fx, y=x2 y2 exp-x2+y22.   To Find: The points of relative…

Q: a) 4 [(-X²+1) += |dx

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Q: 14. Solve the differential equation dy dt y = y(0)=1

A: We solve the differential equation  by Euler method  to find the value of y(0.2) . when h=0.1,and…

Q: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not…

Q: Find the integral surface passing through the curve T: z= x³, y = 0 of the partial differential…

A: We have given a partial differential equation ,  xy∂z∂x - 2x4∂z∂y-4yz = 4x8yey2 We need to find…

Q: 4 x + z + t = 1; 4 y + t = 2; x + 4z = 3; Solution of the system x + y + 4t = 4 a) Check if it…

A: Given the system of equations are 4x+z+t=14y+t=2x+4z=3x+y+4t=4

Q: Comment on the statement “The decimal expansion of 3/2 ​is terminating'

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Q: 6. Given the final tableau (after deleting the columns of the artificial variables) for phase 1 of…

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Q: Integrate bath sides of problem y'= f(y) and interpolate f(yrer) ane step method. Hints y'=f(y) aver…

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Q: Following are the temperatures (in F) observed during eight wintry days in a midwestern city…

A: The observed value of temperatures are: 23, 16, 6, -7, -2, 11, 16, 22 To find range, variance, and…