In class we proved that if n is a multiple of 3, then fn is even. Prove the converse of this statement That is, prove that if n is not a multiple of 3, then fn is odd.

Q: Period: Example Ib: Find the solutions of the quadratic function x2- 14x+49-0. • Step 1: Graph the r...

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Q: Given that y, = In(x) is a particular solution of the non-homogeneous equation x?y" + xy' + y = In(x...

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

Q: In a right spherical triangle ABC (C= 90°), a = 35°, and b = 45°, find c.

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Q: 2. Find the number of distinct permutations that can be formed from all the letters of each word: (a...

A: The number of distinct permutations of n letters of a word where the letters n1, n2 , ... , nk are r...

Q: di x- x(t) defined implicik ly by dt 62XE 19+62VXIn(t) =eAE. Also evaluate dx at (bx)s(1,4).

A: Given the equation is 62+62xlnt=e62xt

Q: Find Zy, Zxy , Z yx Z 3. = ax + cy+ C sin (X y) + d cus(y?) where a,b, c, d are Constant.

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Q: 19. A male worker performs physical labor that has an energy expenditure rate of 8.2 kcal/min for 30...

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Q: 1. Calculate the total area of this swimming pool to the nearest tenth of a square metre. +9.6 m 16....

A: Given: To the nearest tenth of a square meter, calculate the overall area of this swimming pool.

Q: Evaluate the following integral: x cos²(y) dA, R = [-1,2] × [0,r] R ütfen birini seçin: a.0 b. 3m с....

A: Introduction: A double integral is expressed as ∬Rfx,ydA. The region R is the rectangular region R=a...

Q: Draw the graph of the function f (x) = (2) (sen x), for the values ​​of x assigned in the following ...

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. For a function...

Q: 3. Write R(a2 + y² ) ? dA in polar coordinates, where Ris the region in the first quadrant bounded b...

A: It is given that ∬ x2+y232dA. We have to use the polar coordinates to convert the given integral wit...

Q: Question 17 * - 2 17. Find the derivative of y = ln 2x +5 hint : In A = In A – In B В 3x 2 x' -2 2r+...

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Q: Fna the principal vaiие ој of

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Q: 3.Evaluate In (5+12i). A. 2.565+1.176i B. 2.365-0.256i C. 5.625+2.112i D. 3.214-1.254i

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Q: Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true derivati...

A: The given function is fx=sinx and the given node points are x=0,π2,π,3π2,2π. Therefore the given nod...

Q: Solue the equstion ミy Cuぷ-1)、 (aぶ-1)、

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Q: Which of the followings is TRUE for f(x, y) = x² + 2y² on the circle x² + y² = 1. ütfen birini seçin...

A: Given the function fx,y=x2+2y2 on the circle x2+y2=1.

Q: Find the solution of the given initial value problem. ty' + 3y = t2 –t+ 7, y(1) = 3, t > 0

A: We have to find the solution of the given initial value problem                                     ...

Q: dx find for X = X(t) defined implicitly by 62 + 62x In(t) = e62xt Also evaluate dx at (t, x) = (1,1)...

A: We have to find the derivative dxdt of the equation 62+62xlnt=e62xt. Then we have to find the value ...

Q: x² – 16 lim x→4 x – 4

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Q: Which term describes the graph? B. D A. Circuit B. Complete graph Poth

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y + ...

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Q: 13. Differentiate y = e** with respect to x . ,3x+1 C (3x+1)e³x! D 3xe*+1 O A В D A

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Q: compl со e e ampl

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Q: Find the order of: (c) (Z/100Z)*

A: We will use the fact that U(n) is isomorphic to (z/nz)^× to find order .

Q: Identify what law(s) are being used in each step:

A: This is a problem of the Propositional Logic.

Q: Determine one real root of h (x) = In() = -3 x3-8 between -0.9 and -0.2 using the Bisection Method. ...

A: The function given to us is hx=lnxx3-8=-3. This can be simplified as follows: hx=lnxx3-8+3 We are as...

Q: Give the converse, inverse, and contrapositive of the implication: If a picture paints a thousand wo...

A: We want to find converse, inverse and contra-positive of the implication : If a picture paints a tho...

Q: 8. Let B = {z: |2| 0 and a function p which is one-to-one and holomorphic in {z : |2| < d} such tha...

A: Let B=z: z&lt;1 and f∈HB. Given f has a zero of order 2 at z=0. Since the given function is holomorp...

Q: Evaluate [ (3e3.31) (3+3i) ]3

A: 4. Given,           3e3.3i3+3i3

Q: Question 16 * 16. The derivative of the function h(x)=In(1–3x)is 3 = (x).4 1-3х A B h'(x)=-3ln(1–3x)...

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Q: If the old price of a product is PhP100 and the new price is PhP500, what is the percentage increase...

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Q: any remaining debt at a specified time Regular Payment Outstanding Balance Loan O Mortgage SLIDESMAN...

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Q: value of the following statements if the universe of discourse is the integen. Enter T for te A 1. V...

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: rse algebraic

A: Introduction: Once we've determined that a function is one-to-one, we must find its inverse. The x's...

Q: Consider the slope field shown. (a) For the solution that satisfies y(0) = 0, sketch the solution cu...

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Q: 11. Given u= x and v = (2-3x). Find u' and v'. and v'=9(2-3x)* A u' = 3 B u' ==x 3 and v'=-3(2-3x)* ...

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Q: = 1 at the poin

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Q: Solve the given initial value problem. 4x³y + y² 2x4 + 3ху dy y(3) = - 2 dx O x*y? – xy³ = 348 х у? ...

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 – 13x)y², y(0) - y ...

A: The solution is given below. 

Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work...

A: If a is directly proportional to b, then it can be written that ab=k.

Q: Define Fo = 0, F, = 1 and Fk = Fk-1 + Fr-2 for k > 1. Show that (a) Fn-1Fn+1 = F +(-1)" (b) E-o Ft =...

A: Introduction: The Fibonacci sequence is an important sequence in mathematics. If we add the two prev...

Q: SHOW SOLUTIONS Which of the following sequences of logical equivalences is valid that would lead to...

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Q: Which of the following is the induction step in mathematical induction? * Show that the statement is...

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Q: Qoeston1 (@Solve the equation %3D

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Q: It is known that an algebraic structure, (R, *), is associative, commutative and have identity eleme...

A: Associative property: If a*b*c=a*b*c for all a, b, c∈R where R is an algebraic structure and * is a ...

Q: 2. Describe general formulas or algorithms to do the following tasks: (a) Test whether a given matri...

A: We will use basic knowledge of geometry and linear algebra to answer both parts of this question.

Q: 6) a) Let the function f been given by S1, f(x) = {0, when 0 0 there is a partition P, of [0,1] suc...

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Q: What is the area, in square feet, of the rectangle shown below? 4 ft 6. ft 4 (A) 27- 20 11 в) 11 20 ...

A: We have to find the area of given rectangle.

Q: A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. I...

A: Given that AD is a line segment. The line segment AD contains points B and C such that C is between ...