RA, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 25, n(B) = 28, n(C) = 28, n(AN B) = 14, n(ANC) = %3D

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A: From the above details we have,

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Q: For a continuous random variable X, P(30 ≤ x ≤ 79) = 0.26 and P(X>79) = 0.17. Calculate the…

A: We have given in the question: P(30≤X≤79)=0.26P(X>79)=0.17

Q: Prove that Q(√d) (d is a square free integer) is the minimal subfield of C containing both Q and √d.…

A: Given: The field of a complex number C is given. To Prove: Qd is the minimal subfield of C…

Q: 6. List every generator for the subgroup of order 8 in Z32.

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Q: ii) Prove that if f is continuous on [a, b], ƒ(x) > 0 on [a, b], and if f(c) > 0 for some ce (a, b),…

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Q: ADMATH 3. 1. %3D tise pawer senies I+x²

A: The given differential equation is

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A: Given function is Firstly, we will find gradient f at point (4,1,1)

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: dr 3 (t + 1)/2i + ej+ 0S nia S k t + 1 Differential equation: dt 2 Initial condition: r(0) II

A: Given and initial condition

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Q: 3. Prove that if a E Z then the only positive divisor of both a and a + 1 is 1.

A:

Q: -13 -12 -11 -10 -9 -8 -4 -3 -2 - 10 %24

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Q: Consider the vectors u-(1,0,0), v=(2,0,0),w=(0,1,0), z=(0,0,1). Select all true statements below O…

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Q: 26. 1 (₁7) + dy - 2xy) d + cos x - 2xy dx = = y(y + sin x), y(0) = 1

A:

Q: A 95% confidence interval for the weight of a small package of M&Ms is (47.82, 48.16) grams. Based…

A: Given,95% of confident interval,M&Ms = (47.82 , 48.16).

Q: iii) Prove that if f is continuous, f(x) > 0 on [a, b], and f(x)dx = 0, then f is identically 0 on…

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Q: Complex numbers (-16)+ z that satisfy

A: Given: Let z=-1614. To Find: Complex number z

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Q: What is the Mahler series expansion for f(x) = 4x³ - 3x?

A: The given function is fx=4x3-3x. We know that the Mahler series expansion of a function fx is…

Q: Just part a. Thank you!

A:

Q: 3. Show that the sequence an = 1+ is a Cauchy sequence. Hint: Every convergent sequence is a Cauchy…

A: Cauchy sequence and it's convergence

Q: 8. Prove that Zp has no nontrivial subgroups if p is prime. [#26, 4.5]

A: Follow the steps.

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 3 b = 2…

A: