f(x) = [10.5x ] X [x] if x <-4 ≤ x ≤ 5 g(x)=x+1if-4 -lx| if x > 3 X

Q: Problem 1. Let A E Fm,n be such that the associated linear map TEL(F, Fm) has rank r. (We are using…

A: Kindly refer to Step 2 for the solution.

Q: The function f(t) is defined as follows f(t)=2+2t+t²,0 <t<6. Define f(t), an even periodic extension…

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A: We know that, The transpose of a matrix is found by interchanging its rows into columns or columns…

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Q: 2ydx + x(2+x²y)dy = 0

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Q: Find the particular solution to the equation y'' + y = sec (x) You may omit absolute value signs.…

A: we have to find the particular solution of the equation  y''+y=sec(x) since the method is not…

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Q: 3. Complete the square to determine whether the equation represents an ellipse, a parabola, a…

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Q: Proposition 7.6.16 Let G be a self-complementary interval-valued fuzzy graph. Then D(G) = (1, 1).

A: Kindly refer to Step 2 for the solution.

Q: Let P be the like (-1,0,2) . Consider the plane that goes through the points A=(3,4,-1), B=(1,-3,3)…

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Q: The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by nnt…

A: The Fourier series representation, FSt=a02+∑n=1∞ancosnπt4+bnsinnπt4. The Fourier series co.efficient…

Q: Evaluate: ftan a sec z 1 sec¹ z dz =

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Q: Mutation accumulation When a population is subjected to a mutagen, the fraction of the population…

A: The mutation accumulation function is given by , ft=1-e-μt.Here μ is the mutation rate. Population A…

Q: 1. Prove the following: 1 2π T St 1 2π J-T 1 2π -TC sin mx cos nx = 0 sin mx sin nx = Dat TT 2 cos…

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Q: 0 1 2 4 5 Distance (m) ONASHONIST

A: d) 8 meters are traveled in 1.5 minutes.

Q: The graph of y = x²(x + 1) and y= (x > 0) intersect at one point, x = r, as shown to the right. Use…

A: This is a question of Numerical Analysis.

Q: Determine if the set of vectors shown to the right is a basis for R³. If the set of vectors is not a…

A: Given a set of vectors 3-11, 2-42, -963. To determine given set of vectors is basis for ℝ3. Also to…

Q: (a) Find the critical point of f(x, y) = (4x² − y) (x² + y). (x, y) = (0,0) (b) Find the…

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Q: . The survey should always contain at least 5 questions. B. Each survey question should have at…

A: These are the question of finite math.

Q: Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: A committee of 4 students is to be selected from 15 students in a fraternity. a. In how many ways…

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Q: How many different sums of money can we have from a five centavo, a ten centavo, and a twenty-five…

A: Available coins are a 5 centavo, a 10 centavo and a 25 centavo coins.   Total number of coins = 3…

Q: For this exercise, round all regression para O 10 20 30 40 The following table shows national health…

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Q: Question 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 3y"y' 4y= 1,…

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Q: 3. d²x dx dt² +8+ 25x = 10u(t) dt

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Q: tc u. (1) = 1 Apply the definition of step function in the function ƒ(t). √√√⁰ t<1] [Jo +2 121 f(t)=…

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Q: n=1 f) Σ n=1 Determine if series converges absolutely and/or conditionally. sin n + cos n n2n (-1)³n…

A: To determine whether the given series is absolutely convergent or not.  We know that series ∑n=1∞an…

Q: Here is a contour plot of the function f(x, y) = 4 + x³ + y³ − 3xy: (Click the image to enlarge it.)…

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Q: Given that x = log, 5 and y=log, 2, rewrite log, 60 in terms of x and y. supruss 1102 sdt aaw…

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Q: Use permutations to solve. Tim is a huge fan of country music. If Tim has time to listen to only 5…

A: Tim is a huge fan of country music. If Tim has time to listen to only 5 of the 14 songs on an album,…

Q: B. Prove each item (Item 3 & 4) of the following by constructing a proof by element arguments 3.…

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Q: Find the derivative of the following function. x² +a x when a = 9, evaluate it for when x = 4.85.…

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Q: [/-) dz = O The integral is divergent.

A: To Evaluate ∫041x6dx We know ∫xndx=xn+1n+1

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Question Which of the following statements applies to the convergent alternating series (−1)n+1 n+4…

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Q: Define a language of polynomials recursively. Give derivation for 5x²+7x.

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Q: An election ballot asks voters to select four city commissioners from a group of sixteen candidates.…

A: We know the combination formula which gives the number of possible combinations if r items are taken…

Q: 8g (Cn) = [] 3

A: Kindly refer to Step 2 for the solution.

Q: The graph shows r = f(0) (solid) and r = g(0) (dashed), both graphed in polar coordinates. B ㅠ The…

A: A polar coordinate is represented by r, θ where r is the length r=x2+y2 and θ is the angle given by…

Q: THEOREM 4.3.3 Tanh z, coth z. sech z, and each z are analytic func tions of z, except for those…

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Q: Distance (m) B6U2 0864 18 16 14 12 10 2 Distance Vs. Time

A: d) 8 meters are traveled in 1.5 minutes. ans: 1.5 minutes

Q: Letf: R² → R be defined by f((x, y)) = -3x - 7y. Is f a linear transformation? a. f((x₁, y₁) + (x2,…

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Q: Provide your answer below: dx lim n→∞ n WI - sin (6(x; ) − zx; )) . Ax over [2, 6]

A: Given sum is, limn→∞∑i=1n-sin6xi*5-πxi*∆x over 2,6. To Write: the above sum in integral form.

Q: 6. [- (3) SPRECALC7 10.8.011. Use the elimination method to find all solutions of the system of…

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Q: Define an odd periodic extension of f(t)=6+6t, 0<t<2 and hence find its half-range sine series…

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Q: (a) Male honeybees are from single parent families; they are from unfertilized eggs so only have…

A: Let Bn be the number of nth generation ancestors of a male hobeybee. Then we have   B1=B2=1. Now for…

Q: Define a language of polynomials recursively. Give derivation for 5x²+7x.

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Q: Problem 1. Let E be a real vector space, F be a closed subspace of E, and a € E\F. Set d(a, F)…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function.…

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Q: The vector b is in the subspace spanned by the columns of A when __ has a solution. The vector c is…

A: The definition of row space and column space of a matrix is given as follows. A column space of…