Find the inverse Laplace transform L¯¹{F(s)} of the function F(s) L-¹{F(s)} = = 6 (s − 1)³ NOTE: The answer should be a function of t.

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Q: If a series circuit has a capacitor of C = 0.4 x 10-6 F and an inductor of L = 0.9 H, find the…

A: Given that, C=0.4×10-6 FL=0.9 H The value of resistance R so that the circuit is critically damped…

Q: У(х) - C (1-х) Find C so that 3a. y(2)=1 = 2

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Q: Differentiate. g(x) = log 29 (5x-4) g'(x) =

A: To differentiate the following function.

Q: lumn A Column B 1. a. -5) | b. -4) used twice 1. x + 7x +6 C. x+6) used twice 2. d. (2x-1) 2. x² -…

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Q: Write the negation of the statement. Start the negation with the word "Some," "No," or "All." All…

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Q: 3. Solve the following system using LU-decomposition: 2x1 +8x=-2 21-22-2

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A: Mean of the exponential distribution is 50, n=100=sample size

Q: 5. Solve the system of equations 3x-y+3z+w=0 X-y+z+w=1 x+ y+z-w=1

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Q: A square matrix A is said to be idempotent if A? = A. Show that if A is idempotent, then so is I –…

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Q: Solve the given differential equation subject to the indicated conditions. y" - y = x + sin x, y(0)…

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Q: It can be shown that the set of all polynomials: p(t) on R is a real vector space. dp Is the set {q|…

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A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: Find the general solution of the following equations (The answer can be given either explicitly or…

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Q: You measure 50 textbooks' weights, and find they have a mean weight of 38 ounces. Assume the…

A: From the provided information,Confidence level = 90%

Q: A tank contains 150 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

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Q: 3) It has been found that 20% of students who enroll in an introductory statistics class withdraw…

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Q: i) L-- (In) L- | s-3 6s+3 ii) L-1 iii) L(tet cos wt) s+1 sª+5s2+4,

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Q: Find all values of A for which det(A) = 0, using the method of this section. 2-6 9 A = - 1 0 A- 5 12…

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Q: form.

A: The given differential equation is not exact .And the solution is:

Q: i – 1 3 Find i= 3

A: It is given that, ∑i=35-32i-1we have to find its value

Q: E(x) = 7 (Type an integer or a decimal. Do not round.) b. Calculate the variance of x. o2 = 5.83…

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Q: - 1 £ 15 s² +64

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Q: rent Attempt in Progress The following information is obtained from a sample data set. = 20. x =…

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Q: Select all the point estimators for ²: Oa² 08²= 02² 02² = 08² 02² = = = n = n Σ (x₂ - π) ² i=1 1²-12…

A: The objective is to identify the point estimator and unbiased point estimator for population…

Q: 1. Let fj = f(r;), where r; are nonuniformly spaced grid points ri < r2 < ...< In. Let the spacing…

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Q: Exercise 4. Decide if the following sentences hold in the structure of natural numbers N, the…

A: (1)  Given statement is  ∀x ∀y  x+y=x → y=0     Answer :      x + y = x  → y = 0 Here the sentence…

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A: To Prove- If tn denotes the nth triangular number, prove that in terms of the binomial coefficients,…

Q: Solve the equation E) de Vy? – x2 dy = 0 - arcsin in implicit form.

A: Solve the following