Find the inverse of laplace, f(t) if: 10s? + 12 13. F(s) = (s + 2)³(s² + 2s + 5)

Q: Find the mass of the solid with density p(x, y, 2) and the given shape. P(r, y, 2) - 48, solid…

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Q: Let A = (1, –1, 2) and B = (4, –2, 3). Solve for proj,B. %3D

A: As per the guidelines for the multiple questions I had solved the first question.

Q: Which of the following discount rates will produce the smallest present value? Click here to view…

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Q: Suppose Ris the shaded region in the figure, and f(z, y) is a continuous function on R. Find the…

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Q: Compute (n) where o is the Euler's Totient function. Show your work in the space provided. 1. ø(8)…

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) n= 1…

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Q: Consider the series Use the Ratio Test to show that this n2n n=1 series converges when < 1 (so when…

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Q: b) A particle moves in simple harmonic motion according to the equation, s = 0 x Acos(wt)+ 0 ×…

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Q: Find the radius of convergence, R, of the series. (x – 9)^ n=1 R= Find the interval, I, of…

A: Interval of convergence and radius of convergence

Q: 2. Evaluate f(2022)(0).

A: The given problem is to find the 2022th derivative of given function f(x) at x=0. Given function…

Q: 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two matrices in H whose…

A: The given question is related with vector space. Given that V is the vector space of all 2×2…

Q: The table gives the values of a function obtained from an experiment. Use the table to estimate f(x)…

A: We have to find area using Reimann Sum.

Q: Let y' = -(1- y/k) where k > 0. If y(0) > k/2 and y(0) + k then lim,0 y(t) = k A. true B. false

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Q: Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid…

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.…

A: We have to solve by Laplace transform method.

Q: Solve the following maximization/minimization problems (a) max log(x,) + log(x2) subject to x1 + 3x,…

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Q: Suppose p and q are distinct primes such that ordp a = h and ordq a = k Prove that ordpq a= lcm(h,…

A: Here we use basic group theory.

Q: In Exercises 13 and 14, find the best approximation to z by vectors of the form c V + C2V2. 2 4 -2…

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Q: Find the mass of the solid with density p(x, y, 2) and the given shape.

A: Given,        ρ(x, y, z)=48,  z=x2+y2, and   z=64

Q: Prove that for all a, b, and c e Z, if a † (2bc+12), then a † (b – 2) or a ł (c + 3).

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Q: Find the mass of the solid with density p(x, y, z) and the given shape. p(x, y, z) - 48, solid…

A: Mass of the solid bounded by the region

Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: Allen Electronics manufactures two types of computers- desktops and laptops. The production of a…

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Q: Solve the initial value problem (1 +2*)y" + 2y = 0, y(0) = 0, y (0) = 9. If the solution is y = co…

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Q: Approximate the area under the graph of f(x) = 0.02x - 1.69x + 77 over the interval [4,12] by…

A: The given function is fx=0.02x4-1.69x2+77 over the interval 4, 12. The area under the curve of…

Q: 1. Which of the following subgroups of Z27 has order 3? В. (9) А. (3) С. (6) D. (12) 2. Which of the…

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Q: (a) Find dy – Ay, if y = 6–- 7x (b) Find the derivative of f(x) = 2(cos4x – sin4x) Solution.

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Q: Answer the following. 1. Verify if the following numbers form an amicable fair, Support your answer…

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Q: 1. A power series is a series of the form and Cn's are where x is a

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. g" +3-2y1-81y': gro) - 7.4 y'l0)= - 4.L y"C0)=9.91

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Q: QUESTION 6 For all the questions below consider function F mapping from set X to set Y. For each…

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Q: Suppose that {A;};eI and {B;};ej are families of nonempty dasses with the same index dass I. Prove…

A: Given that Aii∈I and Bjj∈J are families of non empty classes with the same index class I.

Q: Consider the following line integral. xy dx + x?y dy, Cis counterclockwise around the triangle with…

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Q: A square matrix A is idempotent if A² = A. Let V be the vector space of all 2 × 2 matrices with real…

A: Given- A square matrix "A" is idempotent if A2 = A. Let V be the vector space of all 2×2 matrices…

Q: The Mega Millions lottery is available in multiple states including New Jersey. A Mega Millions…

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 n=…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3,5) and…

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* – x has a critical number…

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Q: It takes three hours for a pipe to fill a tank of water if the tank does not leak. However, the tank…

A: Introduction: Assume you go to the market to buy six apples. The shopkeeper informs you that he is…

Q: f the function defined by 1 F(x) x2 =. * dt the produat rule ond the FTC II

A: Introduction: The Leibniz rule for differentiation under the sign of integration is given by,…

Q: True or False? 1. Let G be a group and H a nonempty subset of G. If ab-1 is in H whenever a and b…

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Q: 1. A power series is a series of the form and cn's are where x is a 2. The power series can be…

A: Please check the next step for detailed answer, as per company. Guidelines, we shall answer first…

Q: The IVP whose solution is y=2e-Xcos(x)+ 3e¬*sin(x) is given b O d. y"+2y+2y=0, y(0)=2, y(0)=-1. O a.…

A: Introduction: Calculus is a branch of mathematics that focuses on rates of change, differential…

Q: Page 160 #12 only And Page 175 #19 only

A: To find- Test each argument for validity. If it is Valid, provide a formal proof. If it is invalid,…

Q: Let r = xi + yj + zk and r = |r|. Find each of the following. (Give your answers in terms of r.) (a)…

A: (a) The divergence of a vector field is defined as follows: ∇·r=∂r∂x+∂r∂y+∂r∂z

Q: Question 2. The Fourier series representation, FS(t), of a periodic function of period 4 s given by…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find the cubic function that models the data in the table below. - 2 - 1 1 2 3 4 y - 24 -5 - 3 - 8 -…

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Q: Write TRUE if the statement is true, otherwise, write FALSE. 3. For all prime numbers n, 2^n − 1…

A: For all prime numbers n, 2^n − 1 is prime.

Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division…

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Q: Determine an equation for each of the lines described below: • Line of intersection of the planes 2x…

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