Question 4: Let T be defined as T (v1, v2, v3) = (vl1-v2+v3, v2-v3, v1+v2) a) Find the image of (1, 1,1) b) Find the pre image of (1,1,1)

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A: r1(t) =9t i + 2t2 j + 6t3 kdr1dt=9 i + 4t j + 18t2 kr2(t)=t4 kdr2dt=4t3 k

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A: Given problem:-

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Q: dy 2 Solve (x2 - 1)+ 2xy x2-1

A: (x2-1)dydx+2xy = 2x2-1dydx+2xx2-1y=2(x2-1)2this Diff eq is Linear Diff Eq.dydx+P(x) y =…

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A: Check the condition of convergence and divergence.

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Q: (c) Find a and b such that the following function is continuous at z= 1: (2² + a, z1.

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Q: help

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Q: Write each symbolic statement as an English sentence. p: Taylor Swift is a singer. q: Taylor Swift…

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Q: Q1 (- Use the comparison test to verify that the following series converges: 1 n =17+n6

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A: Let's find.

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A: Evaluate arctan(sec ).

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A: THE SOLUTION IS GIVEN

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Q: Evaluate: Σ 1°e(2+x)i+2x

A: The given expression is: ∑i=0∞1i!xi1ee2+xi+2x. We will use the fact: 1e=1 to simplify it. So it…

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Q: 1+3" 5. E 00 By the series test: n=1 2.

A: By Ratio test the given series diverges. Now, what the Ratio test is Suppose we have the series ∑an.…

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A: Follow the procedure given below.

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A: Please see the answer below.

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A: Here, the polar curve is r=10 cos 3θ which is as shown:

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A: Solving the problem by finding the derivative of the below function.