Given: 2a  + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 Solve for the system Ax = b using Gaussian elimination with backward substitution

Q: fCt) = 3e 4t C1- 3t + 2t?)

A: The Laplace transformation formulas are Lekt=1s-k, Ltnft=-1nFns, where Lft=Fs. Simplify the given…

Q: Louis Lane can’t decide whether she wants to buy a car or lease a car. She is looking at a $28,000…

A: From given data we can see here Total Principal amount = P = $28,000 Time = t = 48 months and…

Q: If C = {x: x? + 11x + 30 = 0,x € N), then C is a/an? Finite set None of these Empty set Infinite set

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Q: (a) Compute the flux of the field F = r i+yj-zk across the cylindrical surface a + z = 1, 0 <y53…

A: If E be a  solid region bounded by surface of S with positive orientation then for a vector field…

Q: Evaluate the double integral where D is the region bounded by the circle z² + y? = 4 above the line…

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Q: 2. Prove the following properties of Discrete-time Fourier transform (DTFT). DTFT DTFT DTFT 1 if…

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Q: A mortgage balance of ​$27,000 is to be repaid over a 12​-year term by equal monthly payments at…

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Q: 5. Which of the following conditions is sufficient to conclude that a subset F of a metric space is…

A: We want to find sufficient condition to conclude that F is closed.

Q: 1. If f : [a, b] → R and f(a)f(b) < 0, then f has a root in [a, b]. 2. Every subset of R which is…

A: As per the company rule, we are supposed to solve three sub-parts of a multi-parts problem.…

Q: A = [-2,4,-2,-4,        2,-6,-3,1,        -3,8,2,-3,        0,2,5,3]   Find a non-zero vector…

A: Given matrix is A=-24-2-42-6-31-382-30253

Q: where p Let W be the set of all vectors of the form is a negative integer and q is a positive…

A: Given W be thr set of all vectors of the form pq, where p is a negative integer and q is a positive…

Q: 1. R:y = Vx, y = 4, y – axis axis of revolution: y = 4

A: Given curves are R:y=x, y=4, y−axis and axis of revolution y=4. We have to find the volume of the…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

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Q: Which of the following should replace the question mark to complete the series?* 日日日 O Option 4…

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Q: Find the area of the region outside the cardioid r = 2 – 2 cos 0 and %3D inside the circler = 4.…

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Q: Prove the Bolzano's Theorem for the case f(a) > 0 and f (b) < 0. .

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Q: Problem2:  Find the due date of the following notes: Date of Loan     Time…

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Q: 4х — 6 Let f(x) 1 (2x – 3)3° a. Find the Taylor series representation forf about x = 1.5 that is…

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Q: Problem 3. Which gives the Laplace transforms of the given time-domain function?         4 ln [(s^2…

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Q: 29. Find the adjacency matrix for the graph below. * A (D го 1 1 1 01 го 1 1 1 01 1 1 1 1 1 1 1 1 1…

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Q: b. Use the result in item 2(a) to find the 4th degree Taylor polynomial of ƒ about 1.5. c. Use the…

A: This is a problem of Taylor's theorem.

Q: y= 4x %3D 2 ft y 2r 1 ft-

A: Centroid for areas bounded by two curves is given by x¯=1area between the curves∫abxupper…

Q: - |-- | 3 and Au = | 1 then A(-2ü + 20) = Are the following statements helpful? Proposition 3.19…

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Q: Below is a sketch of the graph of f. Find: lim f(x) lim f(x) lim, 2+ f(x)

A: From the given graph, it is observed that the curve goes to -∞ when x goes to 2 from the left side.…

Q: The price of a new car is $12,000. Assume that an individual makes a down payment honthly. (Round…

A: The price of the car is $12000 Down payment is 25% of $12000 Therefore down payment is…

Q: y'= Y/x -tan Y/x

A: We have to solve the following differential equation :            y' = yx - tanyx

Q: 4. Locate the centroid (x, y)of the following composite areas: -3 ft 3 ft I 1.5 ft 1 ft

A: Consider the given composite area and divide then into four areas as shown in diagram below,

Q: Questión 2 (a) Consider the following initial-value problem dy +3y= 2r +1, 1siS2, y(1)=5. Use…

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Q: Solve the initial value problem below using the method of Laplace transforms. 2t y"-6y' +25y = 68 e…

A: Given differential equation is y'' - 6y' + 25y = 68e2t , y(0) = 4, y'(0) = 12

Q: 1. Solve the following system 221 — 6ӕ2 — аз — — 38 -3x1 – x2 + 7x3 = 34 -8x1 + x2 – 2x3 = 20 using…

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Q: 1) To determine the distance across a river, a surveyor marked three points on one iverbank: H, G,…

A: To find the width of the river, we have to find the length of KH Given that KH⊥HGF and ∠KGH=41°,…

Q: Hyperbolic Half-Plane model: Consider the line l with equation r² + y? = 45?. Describe all the…

A: Given below step by step solution

Q: A certain restaurant allows you to assemble

A: Given that a certain restaurant allows you to assemble your own vegetable salad. If there are 8…

Q: (a) (14)(13)(12) (b) (14)(18)(19) (c) (16)(15)(14)(13)(1

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Q: Consider the transformation of two variables given by u = x + y and v = 2x - y. If J denote Jacobian…

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Q: 2. Locate the centroid (x, y)of the following areas: b) For Problem 2b

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Q: if 0 <t < , if <t<1, Find F(s) = L[f(t)]. Then F(1) equals: Let f(t) -1 %3D f(t + 1) = f(t) for all…

A: The given problem is to find the Laplace transform of the given periodic function. We have to…

Q: How many different rays can be formed from 7 distinct points on a plane, no three of which lie on…

A: The number of rays that can be formed using n non-collinear points is equal to Pn, 2. The formula…

Q: QUESTION 8 Let {u,u1,u3} be an orthonormal basis for R 3. If v= auz + buz + cu3 is so that V = /73,…

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Q: a) that contain no vowels, if letters can be repeated? b) that contain no vowels, if letters cannot…

A: CLEAR STEP BY STEP ANSWERS ARE GIVEN FOR YOU ALL QUESTIONS

Q: 12vt dt (1+t3/2)2

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Q: Suppose ū = (2, 2) and ī = (8, –4) are two vectors that form the sides of a parallelogram. Then the…

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Q: (b) L = (xD – 4+ 2i)(xD – 4 – 2i)(xD – 5)² and L[y) = VT + sin(2 ln(x)) + 7x5 |

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Q: If P(n, 4) = 17 160, then n = 9. 13 14 O O O C

A: Given Pn,4=17160 we know that Pn,r=n!n-r!

Q: Give an example of a function f : R → R that is continuous at x if x is an irrational number, but it…

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Q: Louis Lane can’t decide whether she wants to buy a car or lease a car. She is looking at a $28,000…

A: Given Cost of car = $28,000 time = 4 years = 48 months interest rate = 4.99% ⇒ r = 4.9912×100 =…

Q: Question 5 Write down the quadratic form corresponding to the matrix. [1 2 -31 A =0 3 lo o -21 2

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Q: g statements are helpful- prem 3.59

A: Yes

Q: Handwritten solution is required for this problem. Enter your final answer on the text box before…

A: Given is a square matrice and we have to find determinant of a matrix and find the inverse of the…

Q: Find, i2509 7. :999 8. 5 :10 :15 +i •25 9. i' +i +i0 +i + i30 In each part, find z 10. z = 2+7i 11.…

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