3. What is a counterexample for the statement "If x = 100, then x must be 10"? %3D x must be 50 x must be -10 x must be -100 O x must be 25

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: -|5(-2)+2|+|3(3)+2(-4.2)|

A:

Q: If then A-¹ = A = 0 0 -1 0 1 1 1 2

A:

Q: Q#02: Show that 2リー33+5 -- t, esint 3.

A: Some properties of Laplace inverse of a function  Linearity property :…

Q: Let A = [-2  6]              [2   8] Find 3A.  3A =

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: x - dx x² +1

A: We are required to find∫xx2+1dx

Q: Let A=[-5   -8]            [   7   4]   Find -4A

A: Given the given matrix is A=-5-874

Q: Evaluate the following expression if x = 3 and y = -4: 35 [x² - (²2)

A:

Q: For what value(s) of x is the expression 2x -x-10 3 6x - 13x 2 -undefined? - 5x

A: Consider the expression. 2x2-x-106x3-13x2-5x

Q: c. | 5x6|+7 < −8 –

A: -5x-6+7&lt;-8

Q: If then A= 4 1 ܐܐ -5 -1 0 0 0 0 0 0 0 0 1 1 1 2

A:

Q: Find the formula for 1+2-3+4-5...

A:

Q: *(2 + 16) (a + 8)(x + 4) 16 where z # a + 8 Submit Question

A:

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

A:

Q: what is 1+1

A: If we consider normal addition for "+" operation then,  1 +  1 = 2

Q: For Vx - 3 evaluate y when y = 4. O 4 O 4 O-2 O 2

A:

Q: 1. Evaluate: xydydx

A: The given integral

Q: Which of the following would result in the same value as -20 + - 4? Select all that apply. A. 20 4…

A: To find  Which of the given values would result in the same value as -20/-4

Q: 4. Simplify the following. State any restrictions on the variables 4x²y° а. x*y? 3 ху b. 9x? -12x

A:

Q: Which of the following represents 28=7times 4

A: Which of the following represents 28=7times 4

Q: Evaluate for: x = -2, y = 4, and z = 16 * |-y-x|

A: Given values are  x=-2y=4z=16 It is asked to find the value of -y-xz

Q: !0x41  equals

A: Supposing that you are asking the value of 0!X41.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: If "C12 = "C₁then n is equal to 14

A:

Q: plify the following expression. -25 + 12-(-1) + 28

A: In this question, concept of simplification of expression is applied. Expression The term…

Q: Which of the following is a true statement? A. V15 = V10 + V5 B. V15 = V18 – V3 The equivalent…

A:

Q: -2 -12 2 -2 수 2 -2 y y 2 2 x x

A:

Q: 2. Which of the following represents the value of when a = 3 and b = 2? 4 (1) (3) 36 (2) 81 (4)

A: Given: a-4b-2, a=3 and b=2    Then substituting a=3 and b=2 in  a-4b-2Then  a-4b-2= (3)-4(2)-2…

Q: In Z7, evaluate the following expressions. 3- (2 x 5) 2 × 3 × 4 5 x 3 3+4+5 3² +4² 1. 1 2. 2 3. 3 4.…

A:

Q: Find 3|X| + 12

A: See the attachment

Q: Evaluate. |-27 = (2-11)

A:

Q: Compute |A| for the following:

A: Given: A=234124431

Q: | y ay 16 - 94 4

A: Given: I=∫y16−9y4dx

Q: Divide the following expressions   1. 3x²y/ xy   2. 6x⁵y⁴/ 2xy³   3. x²-2x-3/ x-1   4. x²+5x+6/ x+2

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If A = 100 0-2 0 004 Then A-1 =

A:

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.