Which holds more? What is your prediction and why? Then, determine it mathematically. a. A regular hexagonal prism with side lengths of 8 inches and a height of 10 inches. b. A regular octagonal prism with side lengths of 6 inches and a height of 10 inches.

Q: Maitreyi loves playing online video games. The game offers players various digital loot boxes that…

A: Given Information: After spending 150 coins by Maitreyi to buy a loot box, there is a 1 in 3000…

Q: . Find solution of the initial value problem y" + 7y' +12y = 0, y(0) = 3, y'(0) = -1.

A:

Q: 1. A college professor teaches Chemistry 101 each fall to a large class of first-year students. For…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During…

A: We have to find the probability that a child will develop the disease if mutation arises…

Q: 2. Find truth values of following expressions and statements: a) ((T A F) → (F V T)) O (F → T) b)…

A: Two expressions are logically equivalent provided that they have the same truth value for all…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x² +…

A:

Q: 2 Let m = R[x] be a polynomial with deg m≥ 1. Define a relation Sm on R[x] by the rule that (f,g) €…

A: An equivalence relation is a binary relation on a set that satisfies three properties: reflexivity,…

Q: Use one of the methods: direct proof, contraposition, contradiction, or a counterexample to prove or…

A:

Q: 2. Let p1(t) = 1, p2(t) = 2t, p3 (t) = -2+4t² and p4(t) = –12t + 8t3 be polynomials is P3 (these are…

A:

Q: 3. Researchers interested in determining if there is a relationship between death anxiety and…

A: The question is about correlation.Given :To find :A ) Compute a statistic that shows the…

Q: While following a treasure map, you walk 50 m at an angle of 60° north of east, then 50 m at an…

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Q: Perform the indicated operation. 15) 7– 3j – (5 + 3j) + 12

A: Given expression, 7-3j-5+3j+12

Q: 19) Write the complex number in polar form. -12 – 7j

A: Given the complex number, z=-12-7i The objective is to write the complex number in polar form.

Q: Given the matrix m M A. What value of m makes a factorization M = QAQ" possible? Justify your…

A:

Q: Suppose that the matrix A = B = let X Y Z b с e h j f has determinant det B = 2. Find: a + 5x с d +…

A: The following matrix properties:

Q: ess the limit as a definite integral on the given interval. χρ (x)² + 5 lim Π-100 n | = 1 -Δx, [1,…

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Q: The figure below shows a cylinder with two hallow congruent cones removed. If it is 20 inches tall,…

A: To find the volume and surface area of the figure remained Height=20 inches and diameter=14 inches

Q: If f(x) is optimal at x = x*, show that the maximum of first even derivative of f(x) [i.e. f"(x)] at…

A: In mathematical optimization, when a function  is optimal at , the second derivative at that point…

Q: Let f = (4 5 6) and g = (1 9 8 4) (2 7 5) (36) be two permutations in S9. (a) Compute fogo f-¹, and…

A:

Q: 4. Solve the following inequality. Write the answer in interval notation. (x + 5) (x - 3)²(4x +3) >…

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Q: Find the column space of the 10 × 20 matrix A if the system Ax = b is solvable for every b. Justify…

A: Note that : Ax = b has a solution if b lie in column space of A.

Q: 6. SCx) = 2Y-4 A.find the holizontal Asym tote b. fina the ver ticenl asympote . find the y-intereft…

A: Given that: S(x)=2x-4x2+x-2

Q: Construct two nonzero 2 × 2 matrices that are not similar to each other. Explain why they are not…

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Q: Let C be the curve r(t) = (2t, t², ť /3). (a) Compute the Frenet frame for C. (b) Calculate the…

A: Since, you have posted multi parts questions but according to guidelines we will solve first three…

Q: Please balance the following Trip Generation results. Zone Productions Attractions 1 75 750 2 225…

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Q: d*f for the function f(r) 1 +xª + Find dr4 lz=3

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Q: Identify the local maximum and local minimum of the function shown in the graph below. -6-5-4-3-2-1

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Q: Prove lim(3x–10) =-4 using the ɛ, d definition of a limit. 2

A: Recall: ε -δ Definition :Let f be a function defined in a deleted neighbourhood of 'a' . Then a real…

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.