1. A coin is flipped seven times where each flip comes up either heads or tails. How many possible outcomes contain at least three heads? Explain your answer.

Q: A = 3 2 4 5 -2 4 | -3

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Q: uppose that X is a random the following p.d.f. , Find

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A: Given fx=xx2-x-10-8=0 and initial guess x0=3.75

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Q: dI + 501 = 5; where I(0) = 0. dt

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Q: 2. Solve the following inequalities algebraically. a) -(5x – 9) > 8x – 30 6x+1 b) 9-x c) 10 < 3(2x –...

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A: There are 10 doors to a coliseum . A person can go in in 10 ways.

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Q: The amplitude of the steady-state solution of the DE y" +y+y= 3 cos (t) is Ag = 24. %3D O True False

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Q: H.W Which of the following vectors is normal to the surface x?yz = 1 at (1,1,1)? (a) 4i +j+17k, (b) ...

A: Given the surface is x2yz=1 and (x,y,z)=(1,1,1)

Q: secx - I 10.) sin*x = 11.) 1- CSC X =- 2tan x sec x %3D sec?x I+ CsC X

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Q: Example Evaluate a. 1 dx a² + x² b. 1 dr a² + x² C.

A: Introduction: Suppose, a real-valued function y=fx is given. There exists a function φx such that φ ...

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Q: Find the points in the complex plane (if any) where f is analytic. z2 +1 z # -1 f(2) = z +1' 3 -1

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Q: The auxiliary roots of the following differential equation y" – 2y' + 5y = 0 are 11 = 12 = -2 3-V29 ...

A: The given differential equation is:y''-2y'+5y=0     ...........(1)We have to find its auxiliary root...

Q: Laplace Transform

A: In this question, the concept of Laplace Transform is applied. Laplace Transform Laplace transform c...

Q: e. Write out the standard form a standard convex optimization problem and show that the feasible set...

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Q: aw and ar dw O Find if as

A: In this question, the concept of the derivative is applied. Derivative  A a derivative is used to fi...

Q: Σ a? and (Σ) For the table below, find

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Q: P p' = rP where 0 < a< K and r is a positive constant. Identify all equilibrium populations and dete...

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Q: 2. f(t) = e4"(t² + 3t + 5)u(t) %3D

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Q: en: Hồ a HE, HP is an angle bisector of 20HE H- ve: ΔΟΗΡ ΔΕΗΡ of: Statement Reason но в НЕ Hồ HE | 1...

A: In this question, the various properties are applied to prove the congruency between two triangles. ...

Q: Q1) Compare between Newton Raphson method and Secant method to find approximation root for f(x)=2-e*...

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Q: -2a1+3a2-a3=1 a1+2a2-a3=4 -2a1-a2+a3=-3 1. Express the equations in matrix form (Ax=d forma...

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Q: isfies the differ and the auxi

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Q: Part 1 Mai chooses a letter at random from the word DREAM, then flips a fair coin. 1. Write all the ...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: Apply the differentiation rules of a "quotient": ôn, (n ôn2 n Or a differentiation of a product of t...

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Q: Bobby applied for a landline phone in his new house. He was given the number 7-630- 8380. How many d...

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Q: 7. Consider the second-order homogeneous recurrence relation an = 5an-1 6am-2 with initial condition...

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Q: es, the partial dif - two ordinary difi

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Q: Let F(x , y , z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of s...

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A: Given: Eight basketball teams are competing for the top 4 standings to move up to the semi-finals.  ...

Q: 3. A B 4. 3,2, Modus Ponens 5. BV C 6. BV ~ (~ C) 7.

A: Introduction: Apart from constructing a truth table, an argument can be deduced from its premises th...

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Q: Question Let T : V → V be a linear operator where dim V = n. Let a = (v1,... , Vn) be a basis of V. ...

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Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies the following conditions: y(0) ...

A: The constants C1, C2 can be calculated using the initial conditions. It is known that ddxsin x=cos x...

Q: Ços e cot & 12.) 1 = Csc e sin &

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Q: Minimize F(y, u) = f¿u²(t) dt under ý = -2y + u with y(0) = 1, y(1) = 0. Is your solution unique?

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Q: For the first week of June, Kevin Thomas worked 47 hours. Kevin earns $19.30 an hour. His employer p...

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Q: X-2 +3t 9=1- 5t Ze 4+7t ? ans. d= o

A: The given question is related with the distance between a point and a line. Given a point P12 , 1 , ...

Q: vative of the a a lino diro

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Q: Gauss-Jordan Elimination Method. Solve the following system of linear equations using the Gauss-Jord...

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Q: Which of the following functions are sometimes ill-conditioned? f(x) = sqrt(x), assuming x > 0 f(x) ...

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Q: An airplane files 370 miles from point a to point B with a bearing of N24 E. It then flies 240 miles...

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Q: Reach: If you had to solve the linear equations below using the method of undetermined coefficients,...

A: We find Particular solution by Guess.