find if the points (1, 2,0), (-2, 1, 1), and (0, 3, –1) form a right triangle, Explain vour answer.

Q: Question 81 Can someone cross all the bridges shown in this map exactly once and return to the start...

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Q: (b) la/b비 = |a|/\b|.

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Q: 1. y =  sin 3x, using h=1, xi = 0, until 5th order Taylor’s series.

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Q: A newly-formed business bought a property worth PHP14.5M. It deposited a down payment of PHP3M with ...

A: Given: Cost = 14.5M Replacement = 3M n = 4*10 =40 rate= 12%

Q: Determine the Fourier series of the following a. f(t)=t3 (-<t<a), f{t)=f(t+2.7) f(t)%=f(t+2x) а.

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Q: -4 7 Let A = 0 -1 Find 2A.

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Q: By convention whenever n > 1 and x, y e R", we write |x| = Jx > X;Yi- +...+ x; and (x, y) = i=1 1. C...

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Q: Are the natural numbers closed under subtraction? Choose the correct answer below. No Yes O O

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Q: Determine the rotation matrix for a rotation of the form RxRyRz. Assume that the fixed point is the ...

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Q: Determine the validity of the ff. argument: If this variable is larger than 3, then its square is la...

A: Consider the given statement. We have to determine the validity of the argument. Given first argumen...

Q: -4 -3 -4 A = -3 -3 - 2 -1 -1 -1 Select the correct choice below and, if necessary, fill in the answe...

A: This is the problem of Linear Transformation.

Q: Let W = (0, 1, 3}, X = {1, 3, 5), Y = (3, 4} and Z = {(1, 2), (3, 4), (1, 3),(2, 4). Compute (X x Y)...

A: The given problem is to find the Cartesian product of given sets and verify the Cartesian product id...

Q: Name the property illustrated below. 5(x + 7) = 5•x+5.7 Choose the correct answer below. Associative...

A: Solution

Q: An interest-bearing note for 118 days at 6.4% p.a. simple interest has a face value of $4053. If the...

A: given face value = $4053 interest rate = 6.4%                   =0.064 discounted rate =12.5%       ...

Q: Sketch the region that corresponds to the given inequalities. x+ y 2 2 * $4 ys 14 x 2 0, y 20 y y y ...

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Q: OThe IVP ds (p² – 25) dp4 1 ds p² + 1 dp d s + s = sin(p) | dp s(-2) = 1463 ds = 11 S = 9 dp² l-2 d ...

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Q: (b) Sketch the graph of the cardioids r = 2(1 + sin 0) and r = 1 – sin 0. Find the area of the regio...

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Q: dy ez? = 0 5. x+2xy2 + y- dx (Hint: separable)

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Q: Determine the validity of the ff. proof: Theorem: For every integer k, if k>0 then R+2k+1 is composi...

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Q: 2. y" +y' - 2y = 0, y(0) = -4, y'(0) = -5

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Q: Evaluate , g(x)dx geometrically for g(x) x + 2,x 0° %3D

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). Geometrically...

Q: Find the following matrix product, if it exists. -9 -6 1 0 4 0 1 Select the correct choice below and...

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Q: Question 97 Given the node x in a search tree has children y and z, what is the relationship between...

A: Given: A node x in a search tree has children y and z   To choose the correct relationship between s...

Q: Which of the following is a solution to the equation t’y" + (4t² + 4t) y' + (4t² + 8t – 4) y = 0 ? O...

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Q: Question 91 Does a full m-ary tree with 76 leaves and height 3, where m is a positive integer, exist...

A: Solution

Q: X - iy Discuss the limit Lim I+0 X-1y y-0

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Q: -2 (一T<I<0) f(t) (0<iくT)

A: The given problem is to find the Fourier series expansion of the given periodic function.

Q: Question 1: Determine whether each of the following relations are reflexive, symmetric and transitiv...

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Q: Are the ff. two graphs isomorphic? 一 一 一 1. 1. 1. 1. -

A: To find Are the ff. Two graphs isomorphic. 

Q: x² - 4y – z? = 40 P* + 4y° + z = 40 x² - 4y + z? = 40 x = 4y - 2?

A: Concept: Equation of Hyperboloid of two sheets is: -x2a2-y2b2+z2c2=1 Here axis is parallel to the po...

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 ...

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Q: Paul from Sân Francisco to Miami using Dijkstra's algorithm? Atlanta-Chicago Atlanta - Miami Atlanta...

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Q: f (x) dx=6, f (x) dx=2, and f (x) dx= -3, find f (x) dx. If 2. 2. A -3 B) 4 3.

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Q: dx + 3tx = t4 Int+1, dt 2. t2. %3D

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Q: Question 1 Is the ff. argument valid? ( Note: means "-") ..r O Insufficient information to find the ...

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Q: 2(Lnz)

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Q: 1. Find the length of arc of the curve y = from the point where x = 0 to the point where x = 2.

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Q: Use th properties of linear Space A upon t to prove s a) 0.X - o for all X EX b) a.x=0 =>(a=07v (X=0...

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Q: Find the chromatic number of the ff. graph:

A: This problem can be solved by Greedy Algorithm.

Q: 1. Given interaction between 2 sectors in economy Industry Final Demands Gross Output II Industry 20...

A: Given the interaction between 2 sector of economy   industry 1 industry 2 final demand gross outp...

Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural len...

A: 1st we will make equation of k and natural length by finding work done using integration and then so...

Q: Are the natural numbers closed under subtraction? Choose the correct answer below. O Yes O No

A: The set of natural numbers ℕ starts from 1 and we can write the set in the roster form as ℕ=1, 2, 3,...

Q: How many distinct unlabeled simple graphs on five nodes with equal to or less than five edges? 0 12 ...

A: The given question is related with graph theory. Here we have to find the number of distinct unlabel...

Q: Problem 1. Let || - || be a norm in R". Prove that the function f(x) = ||x|| is convex.

A: Convex function: f:ℝn→ℝ is convex if domain of f is a convex set and f(θx+(1−θ)y)≤θf(x)+(1−θ)f(y)for...

Q: Question 8 Suppose that H is a function of r satisfying H'(0) (1+-). N H" (r) – aH'(r) = 0, H'(0) = ...

A: Given second order homogeneous differential equation : H''r-aH'r=0, where H is a function of r. To s...

Q: roblem 3 Consider R[X]deg 0}.

A: The given question is related with vector space. Given that ℝXdeg≤3 , the set of polynomials of degr...

Q: Find the marginal productivity of the different inputs for each of the following production function...

A: Given the equation Q=0.5K2-2KL+L2. The marginal productivity is given by the partial derivatives of ...

Q: Yational a Nonzero Gatmastnuomber and y a's For all real numbers x canddy if x is inational, zhen is...

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Q: Find the following matrix product, if it exists. -2 -1 4. -4 3 -1 -4 -2 3 Select the correct choice ...

A: Multiplication AB of two matrices A and B of order m×n and p×q respectively is possible if and only ...

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1) C(7,2,2...

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