Suppose R and S are relations from A to B. Must the following statements be true? Justify your answers with proofs or counterexamples. a. R = Dom(R) × Ran(R) b. (R ∩ S)–1 = R–1 ∩ S–1

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Q: 4. Let f(z) = cosh z. (3) Show that f: S→ f(S) is ono-to-one.

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Q: what about part c,d,e?

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Q: 4. (laplace transform) Given F'(t) = 2, if 01 , then L(F' (t)) is..... }

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A: please comment if you need any clarification. if you find my answer useful please put thumbs up.…

Q: 2. Using the midpoint rule, the approximation value for the √√x+4 dx is: C. 2.1213 a 2.5123 b.…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t-4) -…

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Q: : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t-4) - U(t-8)].

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Q: 5. Find the standard matrix for the linear operator T: R³ R³ that first transform by the formula…

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