Find a 3 by 3 matrix that scales the point (x,y,z) by 2 in the x direction and 4.5 in the direction, but does not adjust the scaling of the y direction?

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Q: 2. (2x5-x4-3x2-2x+1) + (x-2) x4 x3 x2 x C Quotient: Remainder:

A: To solve: (2x5-x4-3x2-2x+1)÷(x-2).

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Q: If f(x)= x – 4 and g(x)= Vx – 2; | f which of the following is equal to (x)?

A: Rational function value

Q: ) Use Stoke's theorem to evaluate f f.dr in the counterclockwise direction when viewed from the…

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Q: 3 3-x7 X-3 if D < X< | if 1ぐメ4 if X 7 4, IS the function g(x) - Continuous on IH3 On on 0.0)?

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Q: Write a negation for the following statement:

A: Given, the statement    For all x, if x∈A∩B, then x∈B.

Q: 5. Find the absolute error and relative error for values given below: (a) Let x = 2.7182818 and x'=…

A: According to the guidelines I am answering first question which appeared first (question number 5)…

Q: Solve the following differential equations: (DE in 1st Order, 2nd Degree) 10.) 2(y')?tan?x - y'tan³x…

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Q: Find the area of the region inside r = 9 cos 0 and inside the rose curve r= 9 sin 0

A: Area between the polar curves

Q: Evaluating a Limit In Exercises 45-62, (a) describe the type of indeterminate form (if any) that is…

A: (a) Given that, the limit function is limx→∞xsin1x. Rewrite the given function as follows,…

Q: 1 13 Compute: Lk=0 2k Compute: -1 k². %3D1 =D1

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Q: Find a basis for the column space and the rank of the matrix. 2-6 -3 4 7-3 -6 14 2 -2 -2 4 -2 -2 1…

A: We have to reduce the given matrix into echelon form of the given matrix.

Q: Find the Laplace transforms of the given functions 7. g(t) = tỉ %3D 8. f (t) = (10t) 9. f(t) =…

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Q: CS CamScannELAH (b) ven ünat 28 +pv3=(q+2v3, where p and q are integers, find the values of p and of…

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Q: 1) Find the area of the region that lies inside the curve r =1- sin 0 and outside the curve r= 1.…

A: here we use the basic form of integration .

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Q: 1. Consider e" = for all r € R. n! n=0 a. Determine the power series representation of f(x) = xe =…

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Q: Which of the following statements is true: For all integers a, b, and c, a | be if and only if a | b…

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Q: 8. f(x,y) x +y +: R is bounded by the circle x+ Y 9. 4.

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Q: Prove by mathematical induction that Vn E Nwith n 2 4 2 n3

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Q: Given that b = -3î + (4 + m)ĵ – k ,č = -9î + 12j – (3+ m)k , ,Q = (5+ m, 4,0 + m) and P = (-1,4 + m,…

A: Given that b→=-3i^+4+mj^-k^c→=-9i^+12j^-3+mk^Q=5+m, 4, 0+m and P=-1, 4+m, -3

Q: (-1)" n Given: In(1+ x) = if |x| < 1. n + 1 n=0 Find the Maclaurin series for f(x) = x ln (1 +

A: Maclaurain Series for the function

Q: The island of Slashenburn is depleting its rainforests at an alarming rate. In 1960 the forests were…

A: (a) From the given information, the initial amount N0=100 and 94% remained in the year1975. Note…

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Q: Strang 4.3.28) Suppose that the columns of A are not linearly independant. a) Explain why P = A(AT…

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Q: The function y1 = e is a solution to (x- 1)y"- 2ry + (x+1)y = 0, x > 1. Use reduction of order to…

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Q: 1. The set of solutions of the system of linear equations Ax = 0 is a subspace of R". 2. The set of…

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Q: SYSTEMS OF ODES Using the Laplace transform and showing the details of your work, solve the IVP: 2.…

A: Solution of system of differential equations, using Laplace transferoms

Q: 14. Solve: (xux + yu, = 2u lu(x, 1) = cos(x)

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Q: 5. Determine the inverse Laplace trans- form of the given function. s+1 (a) s2 + 2s + 10 7s2 41s +…

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Q: for each of the group Z2,Z3,Z4,Z10 indicate which are cyclic. for those that are cyclic list all the…

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Q: Use the fact that matrices A and B are row-equivalent. 2 1 0 5 1 1 1 A = 3 7 2 2 -2 10 22 8 0 4 1 0…

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Q: Euler methet to ve (۔ک use

A: It is given that y'=x+2y with the initial condition y0=0. Comparing with the initial value problem…

Q: let n be a fixed natural number.Verify that the set  n.Z={n.k l kEZ} is a group of (Z,+).

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Q: 1. Given the function f(x) = () (a) Find a power-series representation for f(x). | f(x) da = n(n +1)…

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Q: We use Moore-Penrose pseudo-inverse to determine the solution of Ax b which also corresponds to the…

A: We have to check whether given statement is true or not.

Q: From the Laplace Equation show that there exist solutions in the form X(x) +Y(y) + Z(z)

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