Find the orthogonal complement of the Col(A) which is Null(AT) -2-2 4 1 3 2-4 A) #] B) A = 1 -4 2 [1] D) [1] [:] E)

Q: Given the vectors v=[-1. 2, 4] and w=[0. -3, 1], which vector is perpendicular to both v and w? A…

A:

Q: 4. Find the volume of the solid obtained by rotating the region in the first quadrant enclosed by…

A: The given region is bounded by the curves y=tanx, y=2cosx for 0≤x≤π2. To Find: Volume of the solid…

Q: Solve the initial value problem below for the Cauchy-Euler equation. ty'' (t)- 9ty' (t) + 24y(t) =…

A: We have to solve the initial value problem below for the Cauchy-Euler equation:…

Q: 3. Draw an approximate solution for the first order differential equation whose direction field is…

A: Given direction field with initial conditiony(0) = -1.8

Q: Use the table, which gives the total amounts of sales (in millions of dollars) for aerobic,…

A: The given data is as follows, Year Aerobic Basketball Cross-Training Walking 2005 261 878 1411…

Q: Find the 5 number summary for the data shown X 2 7.5 8.7 9.6 10.1 10.8 10.9 24.4 30 5 number…

A: The question is about 5 no. summary. We have to find the 5 numbers summary .. The procedure is given…

Q: Ques tion No. 02: Show that the area of f egion R encleaseod Ly simple closed cuve č is given by a…

A: Area of closed curve, using Green's Theorem: A=∯Sdxdy   =12∯S2dxdy   =12∯S∂x∂x+∂y∂ydxdy…

Q: dy dx If = 3x2y and y> 0, y(0) = 4, then, what is y?

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Q: Differentiate tan (xt) with respect to x, assuming that t is implicitly a function of x.

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Q: Evaluate the following integral where S is the closed surface bounded by the graphs of x = 4, z = 4…

A: We have to evaluate the given integral where S is the closed surface bounded by the graphs of x = 4,…

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: Triangular region with vertices  (0,0),(2,1),(0,3) here x belongs to [0,2]  and y is bounded by line…

Q: Solve M-440 [z(0)] (0)] where [zu(t)] 1

A: The given system of differential equations can be re-written as      x’ = x + y           . . . . .…

Q: Calculate the general solution of the differential equation d²y dx² dy dx -6- +9y = 3x² 16.

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Q: b. lim, 0+ (x³ sin(2)) = 0

A: limx→0+(x3sin(2x))

Q: Let R be the region bounded by y = x 2 and y = ln x. Set-up and evaluate an integral expression that…

A: The region is bounded by y=x-2 and y=lnx Note: According to the guidelines we are allowed to solve…

Q: The number x of bicycle helmets a retail chain is willing to sell per week at a price of $p is given…

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Q: A psychologist uses two types of boxes with mice and rats. The amount of time (in minutes) that each…

A: Let x be the number of mice and y be the number of rats. The problem can be modeled as follows:…

Q: 2. Find f sin(it) dt.

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Q: Determine if the following functions grow faster, slower, or at the same rate as the function 5x² as…

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Write x as the sum of two vectors, one in Span (U₁1, U2, U3) and one in Span (u4). Assume that…

A: Here we have to write x as sum of span {u1, u2, u3 } and span {u4}.

Q: Cauchy. Prove the sequence (1...), i.e. f(n) = for ne {0,1.2....) is Cauchy,

A:

Q: Use the simplex method to solve the linear programming problem. z = 7x₁ +4x₂ + x3 5x₁ +5x2 + x3 ≤ 15…

A: Let us solve the given problem by simplex method.

Q: The average score of 100 students taking a statistics final was 75 with a standard deviation of 7.…

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Q: Suppose that the number of atoms of a particular isotope at time t (in hours) is given by the…

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Q: Consider the sequence with the following starting values a₁=2 ³₂=7 a3-10 4-10 a=6 a=3 a,=2 a. Graph…

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Q: In Math 30-1 class students were given 2 more pieces of information relating to the following…

A: The period of a function is the length of the interval for which the curve completes one cycle.

Q: G5) Solve the following boundary value problem. 0<x<1 y" - y =o y (0)=0, y(1)=-4

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Q: 3. Find a diagonal matrix similar to A =

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Q: The 1990 census reported that 40% of the households in Middletown were homeowners and the remainder…

A: Given,  The 1990 census reported that 40% of the households in Middletown were homeowners and the…

Q: By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up…

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Q: Show that T is a linear transformation by finding a matrix that implements the mapping. Note that…

A: We find the matrix representation of T with respect to the standard basis of R4.

Q: Let T: R³ R³ be the linear transformation defined by T(#1, #2, #3) = (1-2, 2-3, I3 - #₁). Find a…

A: We see,      T(x1 , x2 , x3) = (x1 - x2 , x2 - x3 , x3 - x1)                             = (u, v, w)…

Q: 1-10 FIND THE PATH and sketch it. 1. z(t) = (1 + i)t (2 ≤ t ≤5)

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Q: Suppose that (a)=1 is a sequence and n Σa converges to 12. Let sn= Σak. n=1 k = 1 Which of the…

A: Sequence  converges to 12 and Let To Find:Which of the following option is correct:a) b) Divergence…

Q: Find the inverse of each function. 2 x+2 f(x)=-- -3 C) ƒ˜¹(x) = 2 x-2 3 -x-1 A) ƒ˜¹(x) = - -2 2 -x-3…

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Q: 11. Consider two functions F(u, v) = (uv.u²-v²+1, u +2v) d(x, y, z) = (xy + 2²,3y²z). Find partial…

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Q: Problem: Let A and B be events. Is it necessarily true that P(A|B) = P(B|A) ? If so, explain why. If…

A: We have, Let A and B be events. Is it necessarily true that P(A|B) = P(B|A)  ?

Q: Determine whether the following individual events are overlapping or non-overlapping. Then find the…

A: Here Given  Evens are  (I) Drawing a card of red four or  Drawing a card of red ten

Q: Let B = {b₁,b₂} and C = {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C…

A: B = &lt; b1 , b2 &gt;  C = &lt; c1 , c2 &gt;  We see,         b1 = (-1, 1)T = 3(1, 3)T - 4(1, 2)T…