Fined the abe roo2 07 -2-23i

Q: Let f : R? → R be defined by f((x, y)) = 9x – 7y. Is f a linear transformation? a. f((r1, Y1) + (x2,…

A: It is given that the function f : ℝ2→ℝ is defined by fx, y=9x-7y. We have to check whether f is a…

Q: 6. Use Stoke's Theorem to evaluate fF dr, where F =, C and C is the part of the paraboloid z = 4 –…

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Q: (-4,2+i, 1), and y = (i, 5, 1 + i) be vectors in C. Compute (r, y), Let z = ||x||, ||y||, and ||r+…

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Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s): s? +4s+5 1 -2s…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 2 -31

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Q: 2. In the differential equation 4(3x+ y- 2kdx-(3x+ykdy=0, we let the substitution dw=. 3. In the…

A: 2) We have given a differential equation ,  43x + y - 2dx - 3x + ydy = 0 Here , we need to use…

Q: (1) [4+4 points] Determine whether the following series converge or diverge: k! (a) Σ 2.4.6... (2k)…

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

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Q: 4 10 -8-6 -4 -2 -2 10 -4 -8 -10 Find the slope of the line. Slope = m = %3D Enter your answer as an…

A: We want to find slope of given line

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: 4) 11 yd. 3 yd Volume:

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: 4. In the differential equation (6x-3y+2)dx-(2x- y-1dy=0, we let the substitution dx =

A: According to guidelines we solve one question.thanku

Q: 6 5- 4 y 3- 2- 1 3 4 5 2.

A: Given is a figure showing the region which is to be revolved about the y-axis and then we need to…

Q: 2. For each of the following polynomials find its factor and its roots. (х3 — Зх2 + 5х — 6) b. (x3 +…

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Q: 3. Find the critical points of the following functions, using the skills from section 4.3. 8 a. f(x)…

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

Q: roblem 5: calculate: lim | sin" rdr

A: To calculate: limn→∞∫-11sinnxdx

Q: Let f(x) = x ln(1+x*). For allx € (-1,1), it is known that +oo (-1)" -7n+1 n +1 In(1+x) = > n=0 1.…

A: The given problem is to find the Maclaurin series of given function and also find the 1804th…

Q: 5. XCt) Ct +2)Sin Ct - 4) %D

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Q: 4.1 Consider the three permutations in S6: 1 2 3 4 56 4 56 2 1 1 2 3 4 5 2 4 1 T= 36 5 2345 5 24316,…

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Q: Find the centroid of the region bounded by y? = 14x and y² = 28(x – 7). NOTE: Enter the exact…

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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: The matrix A = -3 -2 -7| has an eigenvalue ) = -4. 1 3 ind an eigenvector for this eigenvalue. ry to…

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Q: 7. co sh?t CO 9.

A: The given problem is to find the Laplace transform of the given function f(t). Given function f (t)…

Q: In this problem you will derive the formula for the Laplace transform of the second derivative of a…

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Q: 6. The sum of three numbers is 16. The largest mumber is equal to the sum of the other two. Three…

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Q: Vx + 4x + 3 dx x + 2

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

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

Q: Verify Green's theorem for F =, where C is the part of the parabola y = x², and the line y = 4 for…

A: If be a positively oriented,  closed curve  enclosing the region D Then for a vector field F→=P,Q…

Q: Let -4 -4 4 A = |-4 -4 -4 4 -4 -4 Find an orthogonal matrix P and a diagonal matrix D such that D =…

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Q: Let r = (2,-i, 1), and y = (-i, 3,1 + i) be vectors in C3. Compute (x, y), ||x||, |ly|l, and…

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Q: Question no. 3 Use the inversion algorithm to find the inverse of the matrix (if the inverse…

A: Q3 asked and answered.

Q: 04: Find the distance between the parllel lines L, and L2 where L1: x = 2 - t, y = 2t, z = 1+t L2: x…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: 35. Prove that the sequence {n!}^, beats the sequence {2"}-1-

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Q: Problem: 5 a. Find the exact value of sin 45° + sin 135° + sin 225° + sin 315° b. Find the length of…

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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: Find all eigenvalues and eigenfunctions of the

A: Given,         X''+λX=0, X0=X'2=0

Q: Production Time(hours) Finishing Inspection and Packaging Profit per Bag 10

A: Let S be the number of standard bags D be the number of deluxe bags Cutting and dyeing time is 630…

Q: (f) Consider the functions y= V7 and y = r² on 0 <I<1. Determine the length of the longest…

A: We will find length of horizontal line between two given curve in terms of a single variable and…

Q: Let f(x) = VT – 2 + k, where k is a constant. Suppose we want to evaluate | f(x) dz. Vā da – 2/ da +…

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Q: Prove that a sequence of positive real numbers {r„}1 tends to 0 if and only if the sequence {},…

A: We have to prove a sequence of positive real numbers xnn=1∞ tends to 0 ⇔ 1xnn=1∞ tends to ∞.

Q: Answer both parts question 5 is only there cuz you need the problem to solve part a and part b…

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Q: Let ƒ be a continuous function. Show that 2022 -f(/¤) dx f(x) dx. 2022

A: It is given that ;  f is a continuous function. And we have to prove that ;    ∫12022-f(x)2xdx =…

Q: 3. f Ct) 2 (3t-5) e 4t

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Q: d) TO e στοτ. OTO tionc of R?

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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: Give an example of a bounded set that has no maximum, but has a minimum

A: We want to find an example of a bounded set that has no maximum, but has a minimum.

Q: 3. Let F(n) = 9F(n − 1) − 24F(n − 2) + 20F(n − 3) with initial conditions F(0) = 1, F(1) = 5 and…

A: To solve this problem first we find the generating / characteristic function and the find roots of…

Q: 50. Calculate lim, sin(). (Proof is not required) n+2 n-+3

A: We have to calculate the limit limn→∞sinn+2n2+3

Q: Set up a double integral that represents the area of the surface given by z = f(x, y) that lies…

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