7. Explain the concept of a random vector ana now it induces a probabity on the sets of the Borel fiei on R2.

Q: -5くxと ニ 02 とLS

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Q: 1. True or false: DE is a tangent segment: 17 13 24 O True O False

A: Solution - False

Q: Shelia and Allison ate lunch at a pizza buffet. Shelia ate three slices of mushroom pizza and seven…

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Q: 2s – 10 -5s

A: We have to solve given problems:

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Q: Let M = {C : )-C : )-C : 26:96: Then M is a basis for M23 the above None of the mentioned M3,2

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Q: 3. Solve for x: O x= 13.5 %3D O x= 2.7 O x = 9 Ox= 6 6.

A: Explanation for the correct choice The Intersecting Chords Theorem states that if two chords…

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Q: Solve the inequality. Graph the solution set. |4x- 10| 23 Select the correct choice below and, if…

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Q: Find * S L-1 s2-4s+13.

A: Let given function is  F(s) = s / (s^2 - 4s + 13)

Q: Let W = {(0,x, y, z): x – 3y + 9z = 0 } be a subspace of R*. Then a basis for W is: {(0,3,1,0),…

A: A basis B for a vector space V is a linearly independent subset of V that generates V.  And the…

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A: We have to find determinants of give matrix.

Q: Let A be an mxn matrix. Then O A. rank(A)+ nullity(A) =n-m B. rank(A)+ nullity(A) =m+n C. rank(A)+…

A: Given that A is a m×n matrix. We have to find the value of rank(A)+nullity(A)

Q: 2. Solve for the missing angle: 100

A: Introduction: When two line segments meet at a single point, an angle is formed. Angles are…

Q: Let M = {a E R: a <-1}. Then M is a vector space under standard addition and scalar multiplication…

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Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

Q: Let M = {x+ 1,x2- 2,3x}. Which of the following statements is true about M? None of the mentioned M…

A: Theorem  :  If   W  be a subspace of V and  dim(W) = dim( V) ,  then  V= W

Q: 1. Use the Euler, methods to solve the following ODES : improved Euler and Runge-kutta dy = x (1+ x)…

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Q: Problem 2 A piece of string whose length is given below is cut into two pieces. One piece is used to…

A: Consider the length of the string which is used to make an equilateral triangle as x cm then the…

Q: Suppose you flip a fair coin 4 times. What is the probability that they are either all head or all…

A: Coin is flip 4 times  that is totel outcomes will be 2^4 = 16

Q: 5. Show that if S = {v1,V2, .. .} is a basic for the space vector V and c is a non-zero ... ... ...…

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Q: ne solution to y" + 6y' + 9y = 0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: = { (" ): a, b eR with the standard operations in M22- EIR Which of the following statements is…

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Q: d'y + 6 + 7y = 0. dt2 dy Consider the following second-order equation: (a) Convert the equation to a…

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Q: Use the above formula to write each of the following limits as an integral (a) (b) m%3D0 nm- lim n2…

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Q: dz Draw a dependency diagram and write a chain rule formula for and given the functions below. du dv…

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Q: dy Find if dx y = (3x2 + 6x – vx)(5x + + 10). DO NOT SIMPLIFY.

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Q: Let W = {a + bx +x2 E P2: a, b ER} with the standard operations in P2. Which of the following…

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Q: 6. Determine the basis for the null space of: -2x +2y + 2z] Зх + 5у + z 2у +z a) х — 2у — z b) —х +…

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Q: (a) Evaluate the integral using integration by parts rule if x' cos' 2x dx (b) Express the…

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Q: Let S be the quadric with equation 36z2 – 4y? – 922 – 36r 0. (a) Classify the graph of S. (b)…

A: The given equation is S:36x2-4y2-9z2-36x=0. (a) To Identify: the graph of S. (b) To Describe: Traces…

Q: the store is approximately given by C (z) = 2z - 30z + 560, where x is the number of videos rented…

A: Given cost function,C(x) = 2x2-30x+560

Q: +00 1 dx xln*(ex) 4 e

A:

Q: Which of the following sets is linearly independent in P, ? {1-x,0,-3x + 1} (-1+2x, 5x², -2 +4x} the…

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Q: 6. On a certain day, the depth of water off a pier at high tide was 6 m. After 6 h, the depth of…

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Q: etermine the intersection of l1 and l2.

A: Given, Two lines are l1:x-12=2-y=z+1l2:1-x2=y-2=z-33 The intersection point of line l1 and l2 are to…

Q: (csc 0)(1+ sin² 0 + sin 0 cot² 0) d0 а.

A: This is a problem of Integral Calculus.

Q: Tind the general or Solutionto the differential equation SPecial y= cx-ソ)

A: Solution

Q: Then dimension of W is equal to:

A: Dimension of W =3

Q: Let V be a vector space with dim (V)=4. Which of the following is true? O A. For v1, v2, V3 E V,…

A: Solution

Q: 1.. The olation to y'tby'494=o is, 0)- The eolution to yl +94=5 G8wt will exhibits d) Jesononce when…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh (;) – ež, find…

A: If the acceleration of the function is a(t) then the velocity of the particle is obtained as…

Q: Determine the Laplace transforms of * 3, 0 12

A: We use the definition of Laplace transforms to answer this question. All that is required is to…

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A: Dimensions of the subspace of a vector space

Q: Determine whether the following subset S of R³ is a subspace or not. a) S= 3|X2||x1x2x3 = X3 S - b)…

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Q: Write a linear trend math problem. Create a description of a scenario involving the spread of an…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…