1 Find the value of the integral 1₂ Determine whether the series ∞ dx 2 9x (ln(3x))² n=2 1 9n (ln(3n))² is convergent. Enter C if the series is convergent, D if the series is divergent.

Q: 3 Find Laplace transform f(t) = cost

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

Q: Prob-3 A company makes electric motors. The probability an electric motor is defective is 4%. What…

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Q: (g). (h) (i) Is f(A) connected? Explain. Is f(A) compact? Explain. with x € R+ = {x € R | x>0}. n…

A: Basic concepts and definition of compactness, connectness and limits of a function will be used in…

Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) r = Without converting…

A: As the bartlwby rule I solve only three sub parts if you want to solve next please repost and…

Q: Given the demand function D(p) = √325 - 2p, Find the Elasticity of Demand at a price of $17

A: We can find elasticity of demand .

Q: Consider the vector function r(t) that has unit tangent vector 1 T(t) VI+$₁² (1,1,21), 0 ≤ t ≤ 2.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Obtain the Z transform of 10 s(s² +s+2)

A: Introduction: When the function is given as function of s, it is important to change the function…

Q: [No calculator or Desmos] Sketch the planar curve given the following parametric equations x(t) =…

A: Consider the given parametric equations, xt=cos2tyt=9+sint2 make the table of values as shown below,…

Q: Find F.T [e-t sin(w t)u(t)]

A: Given function is f(t)=e-tsinw0tu(t) So Fourier transform is…

Q: 1. Let S be the triangular region in R3 with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given that S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

Q: IF TE A (V) and if 9 (1) € Fox) is such that a (T) = 0, is a characteristic root it true that every…

A: The statement is false.

Q: A tailor makes wool tweed sport coats and wool slacks. He is able to get a shipment of 150 square…

A: Let, Number of Coats be x1 and Number of pairs of Slacks be x2. according to question objective…

Q: 2. In parametrizing lines connected by two points in 3-D plane, A. there is only one correct…

A: Introduction: In three dimensional analytical geometry, parametrization is very significant. In…

Q: The Fibonacci Sequence is izo Fi Fn = Fn-1 + Fn-2 23 the defined by Fo = 0 1 for nza. Let Fi izo…

A: Introduction: The infinite terms 0, 1, 1, 2, 3, 5, 8, 13, 21, and 34 make up the Fibonacci sequence.…

Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

A: Solution:

Q: 16. A cube has a surface area of 150 m^2. Find the edge O 5m 09m 07m 3m 2m

A: To find the edge of the cube we will use the formula for surface area of the cube. If a cube has…

Q: Use the Chain Rule to find dz/dt. dz dt || z = √√√ 1 + x² + y², x = 2 In(t), y = cos(t) 1 √1+ (Int)²…

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Q: Find Newton’s polynomial that interpolates f(x) = x1 at x = 1, x=2,x=4,andx=5.…

A: Since, function is not clear so we assume fx=1x. We have to find the Newton's polynomial that…

Q: Consider the following bases B and B' for some subspace of M2x2 (R), the vector space of all 2 by 2…

A: Note: We solve first three sub-parts only. Please re-submit the remaining parts, in case you'd like…

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1300 -0.005x²0.01y2, where…

A: We need to calculate the angle above the horizontal at which the path in that direction begin.

Q: Solve for the power series solution of the given differential equation. (x² − 1)y" + (x + 1)y' - y =…

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Q: Find the next TWO state matrices, X1 and X2, from the given initial-state and transition matrix.…

A: It is provided that the initial-state matrix: X=0.10.60.3 and the transition matrix:…

Q: 1 0 0 0 X2 -2 -2 −1 2 0 1 00 2 −1 2

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Q: The following table gives the value of density of saturated water for various temperatures of…

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Q: The circle below has radius 1, and the longer circular arc joining A and B is twice as long as the…

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

Q: Consider the region inside the cylinder x² + y² = 12 and outside the hyper- boloid x² + y² - 2² = 3.…

A: Consider the region inside the cylinder x2+y2=12 and outside the hyperboloid x2+y2−z2=3. a We have…

Q: 15. If x = t^2 -1 and y = t^4 - 2t^3, then, when t = 1, d^2y/dx^2= O 1/2 O 1/5 0 1 O 3

A: This is a double derivative in parametric form the two functions are x=t2-1y=t4-2t3 Now…

Q: If So F.T ds = 0, then F and T are orthogonal. True O False

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Q: Find the equation of the image when y = -x+2 is reduced with scale factor of 2/3 centered at (1 ,…

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

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Q: The circle below has radius 1, and the longer circular arc joining A and B is twice as long as the…

A: The radius of the circle is 1. The length of arc joining A, B is twice of AB. We need to calculate…

Q: The graph below shows the derivative F'(x) of a function F(x) and the values of some areas. The…

A: 1. Consider the graph given in the problem, We know that, Fx=F0+area under the F'x curve Since, we…

Q: 12) Prove Ñ' (t) are Smooth space for any always orthogonal (*+€ dom Ŕ³). that Curve R(t), 7(t) and

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Q: Solve the following initial value problem to find y(2). dy 2 at =yt ²-l·ly, y(0)=1 using midpoint…

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Q: FT [fit) = jwF(W) F(w) = jw flw) => = JA -T T d+ + S (-A) = ²√³+ - e-just [e-jw + ][ - = # [ 0²…

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Q: H.w1: +2y+y=e', y(0)=1, dy(0)=2, find by Euler's method y(0.75). Use a step dt dt d'y dt² size of h…

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Q: 21 40 JJJ. 7yz cos(10x5) dv, where E = sin (2) X = {(x, y, z) | 0 ≤ x ≤ 1,0 ≤ y ≤ x, x ≤ z ≤ 2x}

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Q: The 'marginal profit' of a good or service is defined as the instantaneous rate of change of the…

A: The profit function is provided as: P(x)=25x+0.0002x3. We need to use the limit definition for the…

Q: The solution of the Ordinary Differential Equation y(3) - 4y" + 5y' = 0 is: a. C₁+e²x (c₂cos(x) +…

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Q: how to calculate the sqare root of a number

A: We will explain how do we find the square root of any positive integer ,then we   explain how to…

Q: Which of the following is a basis for R2? (a) {(1,-1),(-1,1)}  (b) {(1,−1),(1,1),(−1,1)}  (c)…

A: Let V=ℝ2. Identify the basis of ℝ2.

Q: 2π 2/7/710 T71/1xsin 2π xsin nx dx I need to solve the integration in a table or zero method, a…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (5t – 1) 750 4 S…

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Q: 2) Shane graduated from college as a carpenter. He was offered two possible compensation packages.…

A: Introduction: Equations are the base of mathematics. Every real scenario can be modeled through…

Q: Let V be a vector space over F and w₁, W2, W3 € V. Suppose the list w₁, W2, W3 is linearly…

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Q: Use a suitable change of variables to determine the indefinite integral 1 dx Love + 2x +x

A: Substitute1+x2=t.

Q: 3. This question concerns the L metric d and the L¹ metric e on C[0, 1] (Examples 1.1 i)). a)…

A: It is given that,  L∞ denotes the metric d and L1 denotes the metric e on C0, 1. (a) Calculate d(f,…

Q: - By using Bisection Method Find the approximate roots of the following equation, so that If(x) < E…

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

Q: Determine whether the following assertions are true or false. If true, prove and if false, explain…

A: Solution:

Q: 4. Find the general solution of the given system: dx1 dt dx2 dt = = = 7x1 +4x2 -3x1-x2

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