Activity 2: Find Out! Direction: Find the arithmetic mean/s of the following arithmetic sequ 6. 28, 34 7. 12, 48 8. 32, 50 9. 8, 20 10. 23, 51

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Q: Prove that gcd(a + b, a - b) = gcd(2a, a – b) = gcd(a + b, 2b). Show your work! Justify each step.

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Q: 4. n! (read "n factorial") is the product of the first n positive integers, that is 2! = 2 1, 3! = 3...

A: We can solve this by using formula of factorial

Q: n+1 En=1 n/n + Vn\sin(n)|

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Q: Suppose that the demand function for Brand X is P = 360 - 50Qd. Show whether going from 3 to 4 units...

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Q: EXERCISE 1( (ii) 8÷(- 4)

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Q: Ifp is true and q is true, what is the truth value of (p^q) v ~ q? а. true b. false a

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Q: 2. Use the definition of the appropriate limit to show (a) limr→∞(2x² + 4x – 1)/(3r³ + 1) 0. - (b) l...

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Q: Assume that the peanut butter demand function is p = 2,000 - 0.5 %3! calculate the elasticity of dem...

A: Introduction: The formula of elasticity of the demand function is given by, ep=dqdp.pq where p=f(q) ...

Q: How to calculate percentage mark up?

A: Concept: A markup percentage is a number used to determine the selling price of a product in relatio...

Q: A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices...

A: In general the matrix product of two matrix is not commutative. But if they are two diagonal matrix ...

Q: 5. The operation * is defined as a*b=a+b-2ab ii) (2*3)*5 Evaluate i) 2* (3 * 5) Compare your answers...

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Q: Solve the following system of three equations using Gauss-Seidel Method. Assume initial value of unk...

A: To find- Solve the following system of three equations using Gauss-Seidel Method. Assume the initial...

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A: When the interest is compounded, then the formula used is A=P1+rnnt, where, A is the final amount, P...

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A: To determine a second linearly independent solution.

Q: В. С. D. А.

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Q: You plan to save money for a down payment of $36,000 to purchase an apartment. You can only afford t...

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Q: fomulate the LP Model; identify the decision variables used in the model; and determine the optimal ...

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Q: The divergence of the vector F = a? yî + xyzj – a²y?k is

A: Given vector function is  F→=x2yi^+xyzj^-x2y2k^  

Q: (1) f (x, y) = V1+x – y COS

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Q: olve the recurrence relation a, = a,- t a,-2 with initial condition a, = 1, a, = 3. Jse generating f...

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Q: There exists a power series with interval of convergence [1, 2]U [4, 6]. (If true, please n example,...

A: Statement in (3) is False as the given union is Not an interval. Statement in (4) is also False by d...

Q: Let A={1,2,3,4},B={-1,0,1,3} , then B\A is: .a {-1,0,1,2,3,4} .b {-1,0} .C {1.3}

A: Given- Let A = 1, 2, 3, 4, B = -1, 0, 1, 3 To find- What is B \ A?

Q: 9. G(t) = e2-t U(t- 2) 10. Given this period function: Sawtooth function b 2b 3b 4b

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Q: 1. Consider the two-digit positive integers 10, 11, 12, .., 99. Answer the following questions. a. H...

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Q: Seatwor K 7. The velocity N Cin mls) of ball thrown up ward t seconds - 20-9.8 t. the ball was throw...

A: Given function: Vt=20-9.8t

Q: i. formulate the LP Model; ii. identify the decision variables used in the model; and iii. determine...

A: We will construct a linear programming problem according to the given conditions and solve it using ...

Q: show the vertex, foc

A: Given,        y2+2x+y-3=0

Q: pableni Solve the tollowing dittrential equation. - 2 tanin Seci)-ysinke

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Q: Let f(x) = a and g(x) = 5(r- 2), for r E R. The graph of g can be obtained from the graph of f using...

A: given function fx=x3 , gx=5x-23 , x∈ℝ a) give a full geometric description of each of the two tranfo...

Q: (d) Find an appropriate integrating factor for this differential equation and solve it downright, y'...

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Q: 1 0 3 A = 0 1 1 0 6. 5

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Q: B) Use the method of Undetermined Coefficients to find the general solution of the differential equa...

A: Introduction: The method of undetermined coefficient is a way to find the particular solution of a n...

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

A: Introduction: The washer method refers to this application of the slicing method. Because the slice ...

Q: Solve the given initial-value problem. у" + 4y' + 5y %3D35е 4х, у(0) %3D —6, у'(0) %3D 1

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Q: roblem 1. Show that if (x, y, z) is a Pythagorean triple then 60|xyz.

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Q: Among the following mapping diagrams, which do you think represent functions?

A: Given: The mapping diagrams To find: Which of the mapping diagram represent a function.

Q: The Borel o-algebra on Ris generated by any of the following collections of intervals 4. {[a, 0) : a...

A: We will use the basic knowledge of set theory to answer this question. We will solve the first two s...

Q: A rectangular swimming pool 30 ft long, 25 ft wide, and 14 ft deep is filled with water to a depth o...

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Q: Calculate the value of √102-√101 correct to four significant figures.

A: We have to calculate the value of 102-101. Now, by using calculator, we get 102=10.0995 And 101=10.0...

Q: Simslarly Solve x= fi 4

A: System of differential equations

Q: LQ – 9.2 Direction (Slope) Fields • Where are the equilibrium solutions? • Sketch a direction field ...

A: The equilibrium points are the points where f'(x,y) is zero or undefined.  

Q: Problem 3 : Souvenir Key-chain Bins For each of these problems, write down the permutation/combinati...

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Q: Find a one-to-one correspondence between [0, 1] and (0, 1). Find a one-to-one correspondence between...

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