Consider two functions f(x) = 1 + ecot"* 1- cos 2x and g(x) = 21sin x |-1 + %3D 1+ sin* x TC Statement I The solutions of the equation f(x) = g(x) is given by x = (2n + 1). 2 Vne I. Statement II If f(x) > k and g(x)

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A: Given that, Length of the diagonal of a regular hexagon is 48 in. Thus, length of the side is given ...

Q: Solve for x. Equation is as follows. x=(5x+36)½

A: Introduction :

Q: C. Evaluate the following 4. P(1s, D) 1. P(. 10) 2. P() 5. P(11,7) 3. P(s2)

A: (as per Bartleby guidelines we are supposed to answer only 3 subparts of a question) Introduction   ...

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A: We will be using compound interest formula to find instalment needed. 

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A: Given, the population of a certain country has grown at a rate proportionalto the number of people i...

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Q: - Use the method of undetermined coefficients to find a particular solution to the following differe...

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

Q: 2. Find the solution of the following differential equation. 2y' – y = 2e2", y(0) = 3.

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A: Given that, You have taken some medication which you will lose about 5% in your bloodstream each hou...

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Q: 7. In the field MD(p"), prove that for every positive divisor d of n, xP" – x has an irreducible fac...

A: In the field MDpn,  prove that for every positive divisor d of n , xpn-x has an irreducible factor o...

Q: There are two questions here: (a) Find a general solution of the following homogeneous system: 1 -7 ...

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Q: 2. Construct the TRUTH TABLE for each of the following compound propositions а. р^^р b. pV¬p c. (p V...

A: See solution below. 

Q: D²x – Dy = t x(1) = 1, y(1) = 0, D = 4. %3D (D + 3)x + (D + 3)y = 3 dt

A:   Here, it is understood that :               ; Now , by question , we get :        ................

Q: Find the General Solution of this Differential Equation 2. dy/dx - y/x = y°

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Q: (a) What is the r value for the Eastern Pacific yellowfin tuna? r = per yr (b) What is the carrying ...

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Q: Problem 3 Your sources inside the Volkswagen corporation inform you that the price of their stock ov...

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Q: 2 show that (fof) (x) = x, for all x # 3 (4x + 3) Question 4. If f(x) = (бх — 4)" 3' What is the inv...

A: We will find out the required value.

Q: 1. Use the method of undetermined coefficients to find a particular solution to the following differ...

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Q: (D²-1)y = x-1, solve using Method of Undetermined Coefficient. %3D

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Q: In Fibonacci's rabbit problem, the number of adult rabbit pairs in the fifth month is: 1 4.

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Q: Select correct domain and range: 2 -2 -1 1 -1 -2t OD: {rR} R: {yy 2} OD: {r-2 < a< 4} R: {yly 2 2} ...

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Q: D. Write the permutation notation and evaluate. 1. How many ways you can choose a president, vice- p...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: P = 8x1 + x2 – 9x3 22 + 4x3 < 75 6x2 + 8x3 < 60 + 4æ3 < 60 10z1

A: Let us write the given constraints and  S1,s2,s3 be slack variables....  

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A:   Step-by-step solution Step 1  We have to find the purchase price of the furniture (P=?) G...

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Q: 1. The four children in the Dalton family are Anna, Karen, Michael and James. The ages of the two te...

A: 1) As Anna is older than Karen and Michael is older than Anna , therefore Michael is older than Anna...

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Q: A cylindrical tank holds 22 liters of water. At time t = 0, two taps are opened simultaneously, the ...

A: Please check step 2 for the solution.

Q: Problem 7.2 Assume that an and bn are solutions to the recurrence relation A. an + B. an-1 +C. an-2 ...

A: The solution is given as  

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A: Introduction :

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Q: complete

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Q: Which of the following processes is stationary? Select one: a) ??=0.1+??−1+?? b) ??=−1+0.3??−1−0.5??...

A: For finding the stationary process we need to substitute t=0

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Q: Q#03(a): Use Green's theorem to evaluate the line integral f. (x – 3y) dx (4x + y) dy, where C is th...

A: Green's theorem

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

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Q: The Intermediate Value Theorem can be used to approximate a root. The following is an example of bin...

A: The method discussed is often called as Bisection Method for estimating roots.

Q: Graph the polar equation. r=2+2 sine

A: We need to find several points and join them to form the graph. Also we can check Symmetry  of polar...

Q: d'y dy = 2 + dx 7. dx2 dx²

A: