Show that п ()- = 1- 1 and п,

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: 2 (45-x) 开 (2x +30) 于 5

A: Solve for x

Q: f(x, y) = logy(3x) af ala ala дх ду ... --- --- --- 000

A: The given function isRewriting the given function,

Q: Let yk = k", where n is a positive integer; then Ak" = (k + 1)" – k" - (1.112) nk"-+ n kn-2 +...+ 2.…

A: We have to solve given problem:

Q: Expand using the binomial theorem: (x - 5)4 = xª + %3D x3+ x2 + X +

A:

Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

A:

Q: Suppose that X ~ B(30, 0.67). Find q. Submit Question

A: In question, Given that, X~B(30, 0.67). Then we'll find value of q? The solution below,

Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

Q: 7. Find the value of x. (3x-7)° x+15) 289

A: To find: The value of x. Concept used: Exterior angle property: The sum of opposite and non-adjacent…

Q: 2. Recall that n! is the product of all natural numbers from 1 to n. Use induction to prove Ek(k!) =…

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Q: Find the inverse of 13 in Z135.

A:

Q: (- 1)" _ 3 En=0 'n =D0 3" 4 Select one: True O False

A:

Q: Suppose X~N(19, 2.5).  Find P(X = 17)

A: Given X~N(19, 2.5)

Q: 3. Find the constant k that will make f continuous on (-0o, 00). Sx – 4 , (kx2 – 24x + 46, x > 5 x<5…

A:

Q: Prove: If x + 1, then Σ. I - 1 j=0

A: According to the given information, it is required to prove the given statement.

Q: 2. Show that 1 2 = (1 - )( - )(? y)

A:

Q: m < VUT=175, m<vuj = 17x - 3 and m<ijk = 17x + 8. Find x

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Q: Show that the polynomial 1+x+x² +... +xP-1 , where p is a prime number, is irreducible over the…

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Q: What value of x verifies that

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Q: If f is bounded and integrable on [a, b] such that | f(x) | 0).

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Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: Does (Z11 , + , .) have subfields? In this case which subfields.

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Q: (-, 4/30] (5) [-4, c )

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Q: 1. Show for all natural numbers n that (2k – 1) = 1+3+ ...+ (2n – 1) = n². k=1

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Q: * Q1 X1 +x2] 3 X1 4 X2 If 3 [x3 X4] [x3 + X4 1. x1 = -2, x2 = 2, x3 = -2, x4 = -3. 2. x1 = 2, x2…

A: We will perform the addition and scalar multiplication of matrices on both the sides. Then we will…

Q: 7over9 + 3over4 - 2over3 =

A: We have to find the value of ,      7 over 9 +3 over 4-2 over 3

Q: Express in the terms of i

A: Given,

Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: 4. Show that it has a real value!

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Q: Find A*. 8i 1- i A = 16 3+i 2+i x - (; ; ) ? ? ? A* = ? ? ?

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Q: Compute the value of the expression (II",3*+1): (IIH,3').

A: