Let H = Span{1 + x²,1+x, 2 + + a", 3+ 2x + x?}. dim H? What is

Q: Use the Laplace transform to solve the given differential equation subject to the indicated initial…

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Q: Determine if the following lines are parallel, skew or intersecting. (X,y,z>=(3,2,2)+(4,5,4)t and…

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Q: 7. m = 2, k = 3, b=1 Underdamped Overdamped Critically damped Undamped; Natural period

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Q: 3. Find the value of ZD 35mm 55mm в A. 121 27mm 60mm 4. Find the Area of the rectangle. 2/3 F 60° IB…

A: 3.The cosine rule of triangle is stated as follows:

Q: (x-8 )

A: The given expression is: (x-8)2 Note that: (x-a)2=x2-2ax+a2

Q: In a family with 10 children the p = probability of a boy = 0.5. Find the binomial exact probability…

A: Given , p= 0.5 And sample size, n= 10 And we know that, q= 1-p= 1-0.5 = 0.5 X~ binomial (10,0.5) So,…

Q: 9-x 0=A

A: Solution

Q: 5. m 1, k-8, b=0 Underdamped Overdamped Critically damped Undamped; Natural period a

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Q: Use the following graphs to estimate f(g(2)). 3 -3 3 f(g(2)) = i f(x) x g(x) -3 Round your answer to…

A: Given: Graphs of fx and gx.To find: Estimated value of fg2.

Q: Q2 (a) Solve the mean, variance and standard deviation of the following data: 1.5 0.2 C 0.2 3.3 1.2…

A: The data set are :-X :- 0.2, 3.3, 1.2, 5.7, 1.5, 0.2, 1.8

Q: The Cholesky decomposition: Select one: а. is faster than the LU decomposition when solving a linear…

A: Solution:- the Cholesky decomposition is roughly twice as efficient as the LU decomposition for…

Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1) 10 Σ k!…

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Q: Given f(x, y) = 2æ - 5æ²y? – 4y*, find fa(x, y) =| 6x² – 10cy? -10x?y – 16y3 fee(2, y) = 12x – 10y2…

A: Find the partial derivative of f(x,y)

Q: 4) 3) 2v2 45 4V2 45° y to search

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Q: F. Evaluate dr, where F = (-6x², 9y², –12z²), and C is the curve: 7() = (t, 12 – 21°, 2³ – 1²), 0 <…

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Q: Find the solution. y' = 5y + e-2x y-2, y(0) = 2 -15x 13e A) y = + 3e 2r1/3 23 139e 15x – 3e -2x \1/3…

A: Given differential equation is in the form of Bernoulli's differential equation.

Q: Let ƒ (2) = Find the Laurent series expansion centered at z = 0 in the domain |2| < 1 What's the…

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Q: Q.1 A mother wants to save $4000 bimonthly in a financial institution, which pays her interest at a…

A: We have given that, P = $4000   ,  r = 9% = 9100 = 0.09  , n = 6 , since compounded bimonthly and t…

Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

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Q: 1. (a) Let f: X → R be a subadditive function defined on a topological vector space. Prove that if f…

A: As you have asked more than one different/unreated to each other questions. We shall solve first…

Q: Approximate the area under the curve f(x) = -0.3x² + 20 between x = 1 and rectangles. 68.95 x Enter…

A: Note: For this problem, method is not mentioned so. I'll provide the solution using left, right and…

Q: Two boats approach a light house in the middle of the sea from opposite directions. The angles of…

A: We have two boats approaching each other from opposite ends and the angle of elevation are α and β.…

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: Extend e logy e* 1 1 flog z dz dx dy.

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Q: 1. Use the ed definition to prove that the function f(x) = = (a) continuous at z = 0. (b) continuous…

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Q: 2. The differential equation for free motion of a spring-mass-damper system is: d?x dx + 2y +kx= 0…

A: Given: Let us consider the given differential equation, d2xdt2+2γdxdt+k2x=0 where…

Q: 3 1 2 42x2у3 1 1 5 83х 3уз

A: Simplify:-