Solve in terms of t, u"""" + u"""' = 0.

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A: solution

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Q: (b) 3s²+55+1 (d) 금 (c) 5s+2

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A: This is a problem of counting. This is a problem of trigonometric calculations.

Q: why is f~ homotopic? the question is asking for f.

A: Please find the answer in next step

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Q: Evaluate: 2) [x² in x dx -

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Q: Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz # (a) Express and as…

A: To evaluate the given partial derivatives.

Q: Let F subseteq K be a Galois extension with Galois group G. Then F = K ^ G

A: Please see in the next step. This will follow from definition.

Q: Wi- Find the where (221) م 270 ل 24 4 2 0 :C للنووزه value of - COSTI Z dz

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Q: f(x) = x²+1, if x < 2 7-x, if x ≥ 2

A: Given: f(x)=x2+1,if x&lt;27-x,if x≥2 To find: Critical numbers of given function.

Q: of K be a finite extension. Then |Emb_F(K, L)| ≤ dim_F(K), wher

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Q: Q3. (a) Find the binomial expansion of (1-x)-1 up to and including the term in x².

A: Given that 1-x-1

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A: We have to find the estimate value of  e-(0.01) Using linear Approximation.

Q: The following data gives an approximation to the integral M= f(x) dx N₁(h) = 1.2341, N₁ ( = 1.0282.…

A: Solution :-

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A: Newton's divided difference interpolation formula can be defined as:…

Q: Find a, b and c so that the quadrature formula has the highest degree of precision [ f(x)dx = af (1)…

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Q: 7. Write the given linear system in matrix form and verify that the vector X is a solution of the…

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Q: Use the short truth table method to determine whether the following argume is valid.

A: Introduction: Consider the shortened truth table technique to be a game with permitted and…

Q: 10. Sketch the graph of the velocity func distance traveled over the given interval. v(t) = t³ – 5t²…

A: Given: v(t)=t3-5t2+6t; 0≤t≤5 To calculate: Displacement and distance traveled over the given…

Q: Question If f: (R, mL) → R and g: (R, mL) → R are measurable then:

A: Given statement:-  If  f  :  ℝ, mL  →ℝ  and   g  :  ℝ, mL  →ℝ  are measurable then:

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Q: The difference equation Yt = 1+0.75yt-1 + Et has yo 10 as starting value at t = 0. (a) Derive the…

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Q: The degree of precision of a quadrature formula whose error term is 2f"() is: 4 2 O This option 3…

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Q: I Question Let X = R and A = {o, R, {1}, R \ {x}}. Then A is a o-algebra over R for all x € R. a. A…

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Q: 3. y = (1 + tan² (12))'

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Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9) (b) 35² +55+1 (d) (c) 333 3/…

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Q: Give an example of a statement in the following logic form by using D = {1,6,8} and identify your…

A: Given: D=1, 6, 8 To given: Example of an statement in the following logic form by using D=1, 6, 8…

Q: Solve for the following ODE problem using Laplace transform y" + 2y' + 5y = 50t - 100 y (2) = -4 and…

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Q: Method of differentiation. 19. Solve (1-x²) dy − xdx + m²y=0 - where x = 0, y=0, x=m dx

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Q: 4-In any elements is the only nilpolent elements a(-b) = (-a)b = = (ab) (-a) (-b) = ab

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Q: Question 1: Given the following system of Initial value Problem (IVP) ==-2-3y, 20 = 2(0) = -1 1…

A: We will use the basic knowledge of differential calculus to answer all the parts of this question…

Q: Find the number(s) b such that the average value of f(x) = 6x² on the interval [0, b] is equal to…

A: Solution:-

Q: Find the number(s) b such that the average value of f(x) = 6x² on the interval [0, b] is equal to…

A: Solution :-

Q: 5. Compute the indicated power of the matrix. -4 61 Gg¹ 5J

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

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A: The question is incomplete, next time please attached the full question and I am providing your…

Q: For 0≤x≤2, solve the following equations: 2 1. sec²x=4 3 2. 2csc²x+3 csc x=2

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Q: Let consider the following table that gives the values of a function f at some specific points: X 0…

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Q: Q) Consider the system X = X -T 3 a) Find a fundamental matrix for this system b) Find the solution…

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Q: For any normal distribution, about 68 % of the data lie within one standard deviation of the mean.…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: Find the number(s) b such that the average value of f(x) = 6x² on the interval [0, b] is equal to…

A: Given :

Q: n the following exercise obtain the derivative of the gi

A: Given,              y=(x3-1)5(x4+3x3)4(7x+5)9

Q: 2h² The degree of precision of a quadrature formula whose error term is 5 2 This option This option…

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Q: H.W. solve the following D.E. 1. (x + √y² + 1) dx - (y-7) dy = 0 2. (ex + Iny+) dx + ( + Inx + siny)…

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Q: For question 3 and 4, consider the following function: f(x)=-cos(x)-1 3. . If the graph of y=f(x) is…

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Q: Sketch the graph of f(x)=x² 50x300 and its derivative, on one set of axes, for 10≤x≤ 10. Set…

A: The scale and the viewing window of the graphing utility must be adjusted to obtain a clear graph.

Q: Show that the polynomial ring Z4 [x] over the ring Z₁ is infinite, but Z₁ [x] is of finite…

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