In the experiment of tussing a fair coin random variable giving * is the 3 times the number of heads obtained Find @P (0

Q: Evaluate L-1{- [6] S -} + 169) (s - 9) (5².

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Q: Find the exact ५००/२ Solution for y₁= 2-27

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Q: y" - zy' +y = e²+t₂ y(0) = 1 y'(0) = 0, look for y(t) by Laplace Transform?

A: The solution is given as

Q: Using two intervals of Simpson's 1/3 rule, an estimate value of ff(x) dx is 11.51. The estimate of…

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Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*10' part/m³), while the…

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Q: Test the convergence of the power series below: 00 (-2)" 3η – 2 (3x – 5)" ΣΩ n=1

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Q: Determine the value of z in the below equation, giving the answer in the form x + yi. z-8=i (7-2z)

A: Solution

Q: m [tan ¹(log3 x)+7cosh z z]

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Q: Using trigonometric substitution to solve: secx (A) +C 8 csc 2x√3+cos²x sin 2x B 8 cos x√3-cos²x sin…

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Q: 2 – 26s – 47 ( s - 1 ) ( s + 2) ( s + 5) 2ی

A: # As per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: now that Reis Banach f|xl|= | ( 2 | ², 1² ) / 2 j=1 and vector space. 2h is complete.

A: We have given Rn andx=(∑j=1n  ξiq. We have to show that Rn is Banch space, vector space and…

Q: Matrices D, M and X are 5 x 5 invertible matrices. Given det (A) = 7, det (M) = -4, and Hlet (P) = 6…

A: (a).  det3MT As  detMT = detM So det3MT = 35detM = 243(-4)  =  -972 Hence Answer: det(3MT) = -972

Q: Consider the following matrix: 3 4 0 8 0 7 0 4 A=0 2 0 3 0201 3 4 0 10 0 70 6, (a) Find a basis for…

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Q: 5. Use the binomial expansion and Cauchy's Integral Theorem to evaluate ( с 2n dz Z + -/-/-) where C…

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Q: Find the solution of the equation P №²₂ a²z อ + cos y ax² ay ² which tends to zero as x→∞ and has…

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Q: Using 1-node Gaussian integration, we have f f(x) dxw₁f (x₂). What is the value of w₁ ? b+a (a) b +…

A: 1-node gaussian integration formula

Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

A: We need to find the equation of the surface. Please find step by step solution below:

Q: Identify and draw a sketch of the surface [(x-2)] ^2/9+ [(y-3)) ^2/4- 【(z-1)]^2/36=1 O elliptic…

A: We will generalize the equation and then identify the type of surface  Elliptical hyperboloid of…

Q: Solve the following PDE:

A: (a). Given,                 yuxy+u=0                                       ...(1)

Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: Given is information about the function f(x), f'(x) and f''(x) Then, to specify the intervals where…

Q: Consider the unit disk D= {(x, y)|a² + y² ≤1}, and the unit square S = [0,0] x [1,1]. Write a…

A: We are given a unit disc, a unit square and a process . Unit disc: D={(x,y)| x2+y2≤1} Unit square:…

Q: *********** - Integrate the following functions Ver f(x,y) = (x-1) =x the given reg y=x² Vegion

A: Evaluation of double integral of function bounded by xy-plane

Q: 4: 4d³y - 13+6y=0 dx3

A: Given differential equation: 4d3ydx3-13dydx+6y=0To find: General solution of the differential…

Q: dice → In the experiment of throwing two fair let (A) be the event that the is odd, (B) Be the event…

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Q: Given the family C[0, 1] of continuous functions ƒ [0, 1] → R, and the norm ||f|| = sup |f(x)]. x=…

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Q: a. (y + 2)²0-2x log y a²u Əy² b. uxx + xy Uxy + y²u² = 0 c.t²u=√√2+x²u əx² at² + koy - Inu = 2e-x, k…

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Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

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Q: Use a power series to approximate the definite integral, I, to six decimal places. 10⁰d +5 dx 1+x7…

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Q: (3x-3) dx (x²-2x+1)(x²+2x+8)

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Q: Example 8.19. Use Romberg's method to compute dx 1 + x² correct to 4 decimal places.

A: Let y = 11+x2  and let I = ∫01dx1+x2take h = 0.5 =12The tabulated values of y are   x0 x1 x2 x…

Q: Example 10.21. Given y' : x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 by Taylor's series…

A: Here, we need to use Taylor's series method and Milne's method.

Q: Which of the following statements are true about inductive reasoning? * i. All forms of inductive…

A: By definition, inductive reasoning helps up to predict future instances based on available past…

Q: Let f(x) = x³ sin(3x) cos(3x). a. Find the Maclaurin Expansion of f. b. What is f(100) (0)?

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Q: (2x + 3) csc²() dx + f 4 tan () dx = 2(2x + 3) cot (#) f(2x + 3) sec² () dx - 4 tan ) dx = 2(2x + 3)…

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Q: Identify whether the statement is a tautology, a contradiction, or neither of the two. → (PV → (p ^…

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Q: Do as indicated. 1. Let C be the parametric curve defined by Determine if C is concave up or concave…

A: The given curve C is: x(t)=t2-t-2y(t)=t3-12t2+t which is defined parametrically. To check: C is…

Q: Let 1 3 1 3 9 9 1 3 5 (a) Find a basis for the column space of A. Answer: { Enter your answer as a…

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Q: V. Given: el3r-6-2, if x ≤2 13 f(x)=[2x - 5], if 2 3 √x²-9, 1. Determine if f is continuous or…

A: Given function is fx = e3x-6 -2   if  x≤22x-5  if  2<x≤3x2 -9  if  x>3 Domain for f(x) = -∞, ∞…

Q: [MO22] Express as a single power series form: 00 (3n+2)an-1(x + 2)n+3 - Σ(5n - 2) an(x + 2)n-1 n=-1…

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Q: Use Squeeze Theorem to evaluate lim x44x COS X logix

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Q: e point of intersection of the lines [4 0] and

A: As per our guideline we are supposed to answer only one question. Here question 8. answered.

Q: Consider the function f(x) = ₁, x = [0, 2]. Construct the 1+z² Lagrange interpolation polynomial…

A: Given function is fx=x21+x2, x∈0,2. We have to construct the Lagrange's interpolation polynomial of…

Q: Find the Fourier Cosine Series of the following periodic function. f(x) = x² 0 < x < 1

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Q: Number of voters 14 14 11 11 9 I. Head-to-head total score: X: vs. Y: II. Head-to-head total score:…

A: Solution :-

Q: 2. Show that is an eigenvalue of A and find one eigenvector corresponding to this eigenvalue. 1 0 21…

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Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

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Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

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Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: it is known that  line integral F·dr will be positive if both F and dr have same direction. and if…

Q: Write the following English sentences in symbolic form- 1. Birds fly if and only if sky is clear.…

A: We have to write the given sentences in symbolic form.

Q: 1. Given the following matrices: 1 1 0 11 1 1 2 1 2 B = 0 A 2 2 Evaluate 1 0 1 0 1 4 If ies D1 3 01…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…