Define the element of the given set using the specified rule: a. R is a set whose members are all the colors of the rainbow. (By semantic description) Answer: b. The set of all y such that y is any number less than 7 but greater than or equal to zero. (By set-builder notation) Answer:

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Q: 12. Prove using both the pick a point method and the algebraic method For each set, A, B, and C, (A^…

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A: The given polynomial is, p(z)=z5-3z4-4z-2. To find: Principal argument of five roots of this…

Q: NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER 1. f(x) = x³, g(x) = |x|³ 2. f(0) = cos(30) 3. f(t) = 4t² +…

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A: Explanation of the answer is as follows

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Q: #9) (modified) A farmer with 800 feet of fencing wants to enclose a rectangular area and then divide…

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A: What is Affine Transformation: A geometric change in Euclidean geometry known as an affine…

Q: kp - t x² + 5x² + 4x = 12+ + 30e + 0) = (0)5 (as op x(0)=1, x'(0)=3 Solve the above Ivp and then…

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A: Given: The masses mi are located at the points Pi. The masses are given as: m1=3, m2=2, m3=1, m4=4…

Q: (b) Consider the following phase line. y=2 y=-2 i. Write down a differential equation that has this…

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Q: Prove lim sup|sn| = 0 if and only if lim sn = 0.

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Q: .00 #fishow that e-x² dx = √n by considering e-(x²+y²) dxdy and a conversion to polar coordinates.

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A: Given system of equations                               dxdt=kx+k2+ky…

Q: Show that W is a subspace of V over R where W = {f(r)|f(3) = 0}.

A: According to guideline we need to solve only one question, rest of the question should be reposted

Q: Prove that every positive integer n can be written as the sum of distinct powers of 2. E.g. 1 = 2º,…

A: we will use  strong induction theory  to prove the statement. statement is-  " Every positive…

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Q: Determine whether or not each of the following form a basis for C3 over C: (a.) (i, 1, 1),(1, 0, i)…

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Q: Solve the given initial-value problem. =y-1 x(t) dt -=-4x+2y dt x(0) = 0, y(0) = 0

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Q: Evaluate the triple integral U= 2x Y "> V = +2 LIK** 2 3 y 2 and w= 72 X f(x, y, z)dxdydz where f(x,…

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Q: 7. Integrate. So So (x-1)² x² + y2 dydx

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Q: ] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we…

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A: The radioactive decay is governed using the equation: N(t)=N012tt12. Here, N0 is the initial amount,…

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