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Q: Joy has a gift to Mail. She finds the volume of the box shown to be sure the gift will fit inside. ...

A: See solution below

Q: Let f (x) = (x+1)a Using the centered 3-point formula for 1 derivatives: %3D f'(0) -2.04061 using h ...

A: Suppose, fx=1x+12; Given  f'0=-2.04061, at h=0.1f'0=-2.01004 at h=0.05

Q: The solution of the system of differential equations dx/dt = x + 2y dy/dt = 4x + 3y

A: a system of differential equations is a finite set of differential equations. Such a system can be e...

Q: 1. Consider the following initial-value problem y (t) = ity' y(1) = 2 1+t 1<t<2 a) Determine the exi...

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Q: Solve the following initial value problem x, = 2x1 – 2+4 – t² -21 +2x2 + 1 with x1(0) = 1 and #2(0) ...

A: Consider the given initial value problem.

Q: A metallurgist purchases car for total cost including tax and license of $37,695.66. If the metallur...

A:

Q: Find a unit vector v = (v1, v2, Vz3) that is orthogonal to both vectors ā = (1, 2, 0) and b = (2, 1,...

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Q: Your school locker has a dial with 50 numbers which required 3 numbers to open.  (It is not a combin...

A: Your school locker has a dial with 50 numbers which required 3 numbers to open. (It is not a combina...

Q: Find x for which det(A)=0 7-x -2 A = 1- x 0. 5- x The sum of the answers is....

A: See the detailed solution below. 

Q: question 20

A: Negation of a statement: If P is a statement, then the negation of the statement P denoted by ~P is ...

Q: linear algebra  Check if the vectors i - 2j + 3k, 2i + j - 5 k and 3i + 2j - k form a basis. (Could ...

A: if three vectors form a basis then they should be linearly independent (L.I.) and they span R3

Q: Suppose v1, v2, ..., Vk are eigenvectors, but no two eigenvalues are the same. Prove that the eigenv...

A: Let k be the smallest positive integer such that v1,v2,v3.....vp are linearly independent .  if p=k ...

Q: Using semantic tableaux, prove the following propositional formula is valid. F(p^q) + (-p V ¬q)

A: To prove, the following propositional formula,⊦¬p∧q↔¬p∨¬q is valid using semantic tableaux. The give...

Q: Do not forget to write the result you found by checking the validity of the statements below with th...

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

Q: Suppose the row echelon form of a system of equations is x−2y−9z == −10 y+2z == −1 Enter the...

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Q: question 10

A: Given that  An automobile company makes a sedan with 8 upgrade options To find Number of different v...

Q: S5 ) just Solve E

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Q: MODELING REAL LIFE The volume of a cube of ice for an ice sculpture is 64,000 cubic inches. a. What ...

A: We are given with volume of cube and we have to find the length of side of cube and surface area of ...

Q: (4) Prove that if A is orthogonal, then A" is orthogonal.

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Q: 3.

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Q: Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the ...

A: According to Simpson's rule, if the interval a , b is divided in to n equal sub intervals then the i...

Q: True or false

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Q: Solve the equation. -600 = -k +750 k% = %3D

A:

Q: How many 4 card hands are possible with a 48-card deck? The number of 4 card hands is

A: Possible number or 4 card hands with a 48-card deck is 

Q: Determine whether the matrix 1 0 0 4 0 0 0 0 0 1. A = 4 1 4 is diagonalizable. If not, explain why n...

A: See the detailed solution below.

Q: A trapezoid JKLM is dilated through the origin by a scale factor of x. How does the area of the imag...

A: Suppose a trapezoid JKLM with coordinates, Jx1,y1, Kx2,y1, Lx4,y2, Mx3,y2 be dilated by a scale fact...

Q: et R be the region bounded by y=x, x= 1, and y = 0. Use the shell method to find the volume of the s...

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Q: 1. (a) Let f(x) be a function which is infinitely differentiable in the neighborhood of a point x = ...

A: The nth degree Taylor Polynomial for the function fx about the point x=a exists only when the functi...

Q: (a) A particle is moving in the vertical plane and the height of the particle is given by y(t)=t^3-1...

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Q: Compute the volume cut out of x2 + y2 + z2 = 64 by the cylinder x2 + y2 = 64.

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Q: Find the determinant of the following matrix [1 2 4 0 2 4 -1 0 0 -3 4 0 0 0 2 -3 -2 1 0 0 0 0 3 1 1 ...

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Q: Arnold has determined that he can afford a monthly payment of $325 for a car. If he can obtain a 4-y...

A: When the interest is simple, the formula used is A=P(1+rt) , where, A is the final amount, P is the ...

Q: 2. Consider the 6 x 8 matrix [1 3 0 0 0 0 1 0 2 0 5 -3 0 0 0 A 0 0 1 4 -7 -9 00 0 0 0 0 0 0 0 0 0 0 ...

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Q: question 6

A: In the three graphs, the vertices represents cities and edges represents road connecting them.

Q: Draw another representation of the graph that looks significantly different B A C E D А В D E А В C ...

A: All the graph are having 5 vertices and all the vertices are connected with at least two vertices. H...

Q: 9.

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Q: 2X-1 f(x) X+3 1. Draw a fraction of the function graph

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Q: 2x – 3 if x >0 | 3x – 1 if x 3], [ƒ 9]. - Q. Given f(x) = %3D

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Q: (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h...

A: for the interval 3≤t≤4 find the equation  find the equation of the line passing through the points (...

Q: Exercises 5-7: Draw and label the vector difference A- B. 7. 6. 5.

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Q: Solve the equation. -600 = 3 + 750 k =

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Q: Prove that if A is a symmetric orthogonal matrix, then 1 and -1 are the only possible eigenvalues.

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Q: Find an invertible matrix P and a diagonal matrix D such that A = P DP ^−1

A: See the detailed solution below. 

Q: Let f(x) = (x-2)2 Using the centered 3-point formula for 1* derivatives: f'(0) 0.251255 using h = 0....

A: Given that  fx=1x-22 . Using the centered three point formula for first derivative  f'0≈0.251255 usi...

Q: The 3 x 3 matrix B is known to to have eigenvalues 0, 1, and 2. Is this information enough to determ...

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Q: The area, A, in square metres, of a circular oil spill after t min is given by A = pt2. P=3.14The in...

A: Given that The are of the circular spill after t minutes, A=pt2 , p =3.14 We have find the rate of c...

Q: 399

A: In maximax strategy, we maximize the maximum payoffs from each of the decision criterias. The maximu...

Q: Marcello's Pizza charges a base price of $14 for a large pizza plus $2.50 for each additional toppin...

A: Given :- Base price of a large pizza = $14 For each additional topping it charges = $2.50 To find (a...

Q: 1. The demand function for a good is shown by the equation P = 20 -Q, while the supply function is P...

A: Consider the provided question, Given, demand function, P = 20-Q and supply function, P = 2+0.5Q    

Q: This is for Differentail Equations. Just classify each DE and state what method you would use to sol...

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!