If you know f(t) = L-'{F(s)}, how would you find L-{F(s)/s² }?

Q: Find the compound amount for the deposit. Round to the nearest cent. $20,000 at 6% compounded…

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A: The general solution to the differential equation

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Q: 6. Consider the following linear system of differential equations: dY -1 5 Y. (a) Determine the…

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Q: Use any variable to rewrite the following sentences to mathematical statements Twice the…

A: Introduction: A variable in mathematics is an alphabet or term that represents an unknown number,…

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Q: 5. Determine the largest interval that pλ can lie in to approximate p to at least two significant…

A: To determine: The largest interval that pλ can lie in to approximate p to at least two significant…

Q: the e given by Sup1ゴ=2..る Shaw thet the Show norm can not be pioen by Q scalor prodlcCt. 2.

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Q: Solve the following differential equation y" +2y'+y=x-1 Select one: O a. YG.S= C,e¯+cze¯2X+x-3 O b.…

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Q: Solve the differential equation below using series methods. y'' – xy' – 5y = 0, y(0) = 4, y'(0) = 2…

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = Ā – int A…

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

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Q: Determine whether the equation is exact. If it is then solvė it oy-7 In y 3)dt= 0 Select the cortect…

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Q: 1. Consider the space of absolutely convergent sequences equipped with the following norm 1/2 ||…

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Q: . Convert the following rectangular coordinate to two polar coordinates (all angles need to be…

A: We have to find the corresponding polar coordinate of (-4,-1).

Q: ** Round your answers to the nearest penny. FOR EXAMPLE: $1300 should be typed as 1300.00 and…

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Q: Find the area of the sector of a circle. Use the value 3.14 for t. Radius = 33.84 cm; 0 = 74° %3D…

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Q: A y y = x2 + 1 y = x -1 2

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Q: The area bounded by y=3Vx and 2y=3x is revolved about the y-axis. Using circular ring method, set up…

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Q: Find the present value of the ordinary annuity. Payments of $550 made annually for 13 years at 6%…

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Q: Bolts of Ohmi Akinbak fabric, which are woven in Sacralstan, are sold in Sacralstanian units of 39.9…

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Q: Let S be the quadric with equation 36x² – 4y² – 9z² – 36r = 0. (a) Classify the graph of S. (b)…

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Q: 4. Which of the ff. series is convergent? 2 2 A. 6 – 2 + C. 1+ 2 + 3 + 4 +5 + . | ... 9. 27 Β. Σ 1…

A: A series ∑n=0∞an is said to be convergent if the sequence of partial sum sn=a0+a1+a2+...+an is…

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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: 2. (а) . State whether the divergence of the vector field shown below is on average positive,…

A: consider the two vector fields. At any particular point, the amount flowing in is the same as the…

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A: We use Sorted Edge Algorithm..

Q: For the following matric find [A] =? Acof =? Where [2 3 1] A=4 5 1 12 7 3]

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Q: Solve the problem. On a sunny day, a flag pole and its shadow form the sides of a right triangle. If…

A: Hope this is useful

Q: construct the Fourier series for the function f (x) = (T - x)2 for 0 < x < 2n ?

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Q: 25) pind tue Maclaurin polyueuial of degre 3 for the fuuctian f(x)=e'

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Q: Our aim is to check whether 179 is a prime number or a composite number. Which among the following…

A: A number is set to be prime if the number is divided by 1 and itself Let us consider any number n…

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Q: In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in…

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Q: Crop Circles Project Square Inscribed in a Circle Complete the construction and the list of…

A: We will use the basic knowledge of geometry to fill in the three blanks in the final two steps.

Q: If lim I+- 00 f(x) f(x) also equals -2. 2 with f(x) and g(x) both polynomials then lim g(x) I- 00…

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Q: Formulate Karush-Kuhn-Tucker conditions for the following task: min –3x + x + 2x3 + 2 (x1 + x2 + x3)…

A: Let f(x1,x2,x3)=3x12+x22+2x32+2(x1+x2+x3) Such that x12+x22+x32=1   …………………………………(a)  Let…

Q: A. Caiculate the centroid coordinates of quarter circle (x + y a) in the first quadtant, use double…

A: Formula: The centroid of the region R is x¯, y¯, where x¯=1m∫∫R x dA, y¯=1m∫∫Ry dA and m=∫∫R dA The…

Q: You want to purchase a house in 10 years. You estimate the cost will be $184,500.00. You want to…

A: Cost of house = $184,500.00 Down payment = 20% = 20% of 184500.00 = 20×(1/100)×184500.00 =…

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: For the set A = {are, bot, cab, era)}, define the relation R on A to be: (x,y) eR if and only if…

A: As per the condition, in every order pair there should be only 1 letter in common.

Q: Evaluate the following integral sin y dyde.

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: Express the following set in set-builder notation. B= {12, 13, 14, 15, 16, 17, 18, 19} Choose the…

A: The given set is                          B=12, 13, 14, 15, 16, 17, 18, 19 We have to express the…

Q: 1 25. L-I s + 5s

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

Q: Find all the values of x such that the given series would converge. 00 x" (5)"(\n + 7) n=1 The…

A: ∑n=1∞ xn5nn+7

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: A 13ft ladder rests against a vertical wall. If the bottom of the ladder is sliding away from the…

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Q: Q 3. Let f(x) =1 – x, for all x E] – 7, 7[ Calculate S(f)(x) the Fourier series of f

A: A Fourier series is a means of describing a periodic function as the sum of sine and cosine…

Q: An object ol nass 10 kg is toloased trom rest 4000 m above the ground and allowed to fall under the…

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Q: Find the length of the curve defined by the parametric equations t, y = 5 In((t/6)? – 1) I = from t…

A: Given, x = 56t , y = 5lnt62-1 = 5lnt2-36-5ln(36)and 7≤t≤10