• The contrapositive of (P → Q) is 1. ~P → NQ A Q → NP 2. ~0 - NP ANQ 3. P→ Q AN Q → P 4. P → QAQ - P 2 O 1 O 3. 4 O

Q: Re-write. the.ethar.five.iterated.nt.eg.ral.s. 2 Fang, z)dydzdx -I x2 d

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Find the interquartile range of the data set. {-4, -6, -9, -3, -2, -4, 0}

A: Introduction: Median is a measurement of central tendency of a given statistical data. When we arran...

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

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Q: (b) For the matrix -2 A= 3 -2 -1 \12 3 -5 1 (1) Determine the characteristic equation and the charac...

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Q: Solve the spherecity of a cone hemisphere.

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Q: Question 2. Let G be a finite group, H 3 G, N4G, and gcd(|H|,|G/N|) = 1. Prove that H 3N.

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Q: Evaluate the area under the parametric curve given by x = 2, y = 4t – 2 and above the x-axis on the ...

A: Area of the parametric curves along x+axis  

Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" (3n)! n = 1 8.

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Q: Dad wants to give ₱5,000 to his four children in the ratio of 1:2:3:4 for their weekly allowance. Ho...

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Q: Find the volume of the solid enclosed by the paraboloids z = 1 (x2 + y²) and z 32 – 1 (x2 + y²).

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Q: A topological space (X, t) is a T1-space iff t contains the cofinite topology on X.

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Q: Find the values of the unknowns using any method applicable. 5a + 2b – 6c + 4d – e = 6 2a – b - c - ...

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Q: Based on the table below, evaluate f(7). f(7) = 1 3 4 f(x) | 7 69 21 31 67 22 19 Submit Question

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Q: A graphing calculator is recommended. Find the Taylor polynomial T,(x) for the functionf centered at...

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Q: 2. Evaluate (-5 – j6)10 in exponential form

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Q: Evaluate, sin(4 – 3i) O 10.04240.68° 10.04Z – 139.32° O 9.71Z – 137.52° 10.04Z139.32°

A: We evaluate sin(4-3i)

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° A – int A (ii) ...

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

Q: Find the area of the surface generated by revolving the curve y=x3/3 from x=0 to x=1 about the x-a...

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Q: Evaluate, write up to 4 decimal places only on the solution but use the whole value for substitution

A: By our guidelines only first question is solved.

Q: roblem 7. Let G be an Abelian group. The torsion subgroup T of G is the set T = {g €G: ord(g) is fin...

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Q: 4- solve the following differential equations (a) x +3x +2x = g(t) = {0 (10st<10 0 t2 10 ,x(0) = 0,x...

A: Applications of Laplace transferom, solve the differential equation by using Laplace transferom

Q: Question 2. Let G be a finite group, H < G, N 4G, and gcd(|H|,|G/N|) = 1. Prove that H < N.

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Q: Given: |-2 -1 |-2 -1 -2 -2 |-2 -1 -2l -2 B = |-1 -2 -1 1 A = | 2 2 2 -2 Find the following: 1.) A +B...

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Q: By applying Rolle's theorem, check whether it is possible that the function roots. Answer: ?

A: The given equation is f(x)=x9+x-6 f'(x)=09x8+1=09x8=-1 If f(x) has two real roots then By Rolle's th...

Q: For a group G and a fixed element a ∈ G, define the subset C(a) to be the set of all elements in G t...

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Q: Ex: 1. Let (an) and (bn) be two diverge sequence show that whether (an + bn) is converge or diverge ...

A: Multiple :    Let , an  ,  bn are two divergent sequence. We need to check that whether an + bn dive...

Q: In Exercises 15-21, use the ratio test to decide whether the series converges or diverges. 15. 16. 2...

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Q: 1- Pind m nx., min. and saddle points for the following fun ctions : * f = 4x* - 6 x y + 5y" - 20x +...

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Q: (d) If instead the Cylons want to maintain a minimum force of 5000 soldiers, how many should they se...

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Q: [(5230°)(1+)][/cos(5 + j3)] log(2-) (1 - 12) Z =

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Q: 2. Please use the Corollary of La Salle's Invariant Set Theorem to prove the asymptotic stability of...

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Q: AUVW AUTX. Complete the proof that AVWX ATXW. W V T. Statement Reason AUVW E AUTX Given TX VW СРСТС ...

A: Solution

Q: 22. Given the function f at the following values, 1.8 2.0 2.2 2.4 2.6 f(x) 3.12014 4.42569 6.04241 8...

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Q: 1. Let B be the solid bounded by y r2, 1-y², and the ry-plane. Calculate the volume of B as a triple...

A: 1st we will draw figure of given region and then find limits of variable in required order   

Q: 4. In the figure below, what is the magnitude and direction of 7xF? 30° 1키3 0.6 |키= 200

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Q: Find the point on the y-axis which is equidistant from (2,5,-3) and (-3,6,1). After getting the valu...

A: Since the point lies on the y-axis therefore the x and z coordinate will be zero. So, let the point ...

Q: 2. Given the graph, determine the end behaviours as indicated [3C] X-3 x -3+ y→ x 4 x4+ :2 X → -00

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Q: Choose the correct ordered pair that makes the inequality true. 1. x + 2y ≥ 8                     ...

A: Given  x+2y ≥8 . Now  4+2×2=8 , therefore (4,2) is correct order pair. -2 + 2×5 =8 , therefore (-2,5...

Q: Romberg integration is used to approximate f(x) dx. If f(2) = 0.51342, f(3) = 0.36788, R31 = 0.43687...

A: Solution 

Q: n a class of 24 students there are twice as many male students as female students. Twelve students h...

A: There are total of 24 students. let the number of female students = x therefore number of male stude...

Q: Other solutions of differential equation. Solve#3

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Q: Question 2 Use the Alternating Series Estimation Theorem to find the minimum number of terms of the ...

A: We have to find the number of minimum terms of alternative Series.

Q: What is L s² –7 s² -3 21

A: The given function is L-1ss2-7+6s2-36 make the partial fraction of ss2-7 ss2-7=As+7+Bs-7=As-7+Bs+7s2...

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 6x2 - 3xy - 8...

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Q: (b) Let X = (a, b]. Construct a continuous function f : X → R (set of real numbers) which is unbound...

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Q: Suppose the line y = 7x − 7 is tangent to the curve y = f(x) when x = 3. If Newton's method is used ...

A: Introduction: A tangent is a straight line that touches the curve at exactly one point. The point is...

Q: Suppose you have a function z = f (x, y) defined on every point (x, y). Choose a correct statement a...

A: Correct option is (A) i.e. It is perpendicular to the level curve through the point.

Q: (c) the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to ...

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Q: Calculate the value of D in detail D3 – 2D2 + D – 2 = 0

A: The given equation is D3-2D2+D-2=0 One root of D is D=2  Use synthetic division  1    -2    1   -2  ...

Q: A solid body of revolution has a radius r = 2x2 + 0.2x, 0 <x < 0.5 Find its volume • 0.5 V = Tr?dx b...

A: Given that a solid of revolution has a radius r=2x2+0.2x, where 0≤x≤0.5. Therefore its volume can be...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.