0 ->> T: R2 R² rotates points (about the origin) through -7/4 radians (since the number is negative, the actual rotation is clockwise). [Hint: T(e₁) = (1/√2,-1/√2).1

Q: b~: d bad b d bed d~:: b~ b=d d :: b~ b=d

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A: let , w2=-1-i⇒w=-1-i12          .......in general w=x+iy12 so x=-1 and y=-1  Now polar form of w is…

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Q: In the following linear system, x+2y+ 7z = 5 x+3y+ 9z = 7 x+2y+ (a2+3)z = a+7 determine all…

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Q: Task 3: Let F: R4 → R4 be a linear transformation given by F(x) = Ax where A is any (4 x 4) matrix…

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Q: 2. Let T: M2,2 (R) → R be defined by T(A) = det(A). Show that T is not a linear transformation.

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Q: Note: NOT WRONSKIAN 9 Use variation of parameters. (D²+1) y = sec ² x

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Q: In := n cos(n) n Use the squeeze lemma to show that the sequence {n} converges, and find the limit.

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Q: Find the volume of the bounded by Z = 6-x² - y² and 2 = √√√x² + y² by setting up a triple integral…

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Q: 8-4) Let T:R² R² be a linear transformation such that T(x₁, x₂)=(x₁+x2. 4x+5x₂). Find x such that…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 3. Construct the complex plane of the finite poles and zeroes of the following transfe functions.…

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Q: Let R be a ring and S be set. Denote by RS the collection of all functions f: S→ R. Equipped RS with…

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Q: 2) Work ANY THREE of the following: a. Find an equation for the plane through the following points:…

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Q: If a line segment AM=a moves in the plane XOY remaining parallel to OX so that the left endpoint A…

A: Let the coordinates of A be (x,y) and that of M be (h,k).Since AM is parallel to OX,h=x+a and k=yor…

Q: solve the given system of differential equations. Q. x′ 1 =2x1+x2, x′ 2 =2x1+3x2.

A: The given differential equation is x1'=2x1+x2, x2'=2x1+3x2 We have to solve the system of the…

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Q: (f) y" - 4y' + 5y = 0, y(0) = 1, y'(0) = 0

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Q: Perform the following congruence computations. Make sure that the number you enter is > 0 and < N-1,…

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Q: educe the line 2x-3y+5=0 in slope intercept,intercept,and normal forms.

A: We have             y=2x3+53≡mx+c  ←Genernal Equation of line  tanθ=m=23,c=53

Q: Can you show me how you converted that?

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Q: 12. Use zero through third order Taylor Series Expansion to predict f(3) for f(x) = 25x³-6x² + 7x 88…

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Q: Exercises 22-26: Rewrite the function y(t) in the form y(t) = Reat cos(ßt - 8), where 0 ≤ 8 <2n. Use…

A: Q-22  y=sin t +cos ty=2 (sint 12+cost 12)y=2 (cost cos π4+ sint sinπ4)y=2  cos(t-π4)y=2  e0t…

Q: 37. Asymptote Behavior How close to -3 do we have to take x so that > 10,000 (x + 3)?

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Q: Let f be a function that is defined on the interval [-1,1] so that f(x) = image attachment.  Show…

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Q: Find the general solution of the given second-order differential equation. y" + 25y = 0 y(x):

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Q: Given the following matrices: ---- 5 -2 A = ,B= 1 3 -4 -2 0 (a) Calculate the product AB. (b) Find…

A: Answer