Given the following functions, find each: f(x)=x^2+x−6 g(x)=x-2 (f+g)(x)= (f−g)(x)= (f⋅g)(x)= (f/g)(x)=

Q: Let S be the following relation on C: S = {(x, y) = C²:y-x is real}. Prove that S is an equivalence…

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Q: The doubling period of a bateria population is 1515 minutes. At time t=70 minutes, the baterial…

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Q: A on S is a function from S×S into S.

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Q: line passes through the point (3,-8) and has a slope of -9

A: Given problem:- Equation of a line passes through the point (3,-8) and has a slope of -9

Q: Solve A/B. Use fractions in writing your final answer. Show the step-by-step solution. −1 4 r2 A = &…

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Q: Solve the equation for x. (7x+30)³ = 64x³ ... X = (Simplify your answer. Use a comma to separate…

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Q: 1. Let T be a normal operator on a finite-dimensional complex inner product space V, and let A₁,...…

A: Note : according to our gauidlines i can solve only first 3 subpart, please reroute the remaining…

Q: Simplify the expression. +3 7²-25 2+2/3=

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Q: 5 Let f(x) = 5x + 3x²³² + 1 and g(x)=3x²+2x+1 in 27 [X]. Determine the quotient and upon remainder…

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Q: Determine the value of when y = 2/3 given that = 2-√√2²-5 and 5y=2+√√√2²-5. 0 3 03/2 01 O 1/2

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Q: LEARNING TASK 2: Complete the flow chart. You own a newly-born German shepherd. Suppose the dog…

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Q: Ex1 Let f(x) = 4x + :f(x), g(x) € 75[x] f(x). g(x). Where Compute f(x) + g(x). and 2 g(x) = 3x² +…

A: Given problem:- f(x) =4x3 +2x2 +x+3 g(x) = 3x4+3x3+3x2+x+4  Find:- f(x) +g(x) and f(x) •g(x)

Q: (3) Draw the missing figure on the sequence below and provide solution/explanation: ين

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Q: Evaluate the integral: Sen(+²+2x-7) ox dx A x² + 5x + In|3x-6|+C B +5x+31n|x-2|+C X + +In|3x-6|+C Ⓒ…

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Q: Let (G, ◊) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of the…

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Q: ve the rational 1 2) ec 5

A: Given query is to find the solution of the rational function.

Q: 1. Lucas is planting grass on the shaded portions of the yard. What will be the total area covered…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Solve the equation [15]16 X+ [5]16 = [6]16 X+ [12]16 for XE Z 16. Write your answer as X= [X]16…

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Q: xx9 (6abc)(5a²c2) (6a)-3 NI m 을 (6¹x6) ²2/ 14⁰ 30 - 12

A: 1. x7.x92. x9x73. 6abc5a3c24. 64x6125. 6a-36. 14030-127. 2233

Q: 1. Discuss the convergence and divergence of the series E-1 3 + cos n en

A: We have to find if the given series converges.   According to our guidelines we can solve only one…

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.

Q: he graph of f shown in the figure to sketch the graph of each of the following. A) y=f(x)-3 (B)…

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Q: Solve the following differential equation Select one: a. None O b. Ye.s=C₁te¹ +c₂t²e² O C.…

A: To find the general solution of the given differential equation.

Q: What is the criteria for a relation to be a function?

A: This question is related to relation and function, we will solve it using given information.

Q: Which of the following is an example of a polynomial function? O f(x) = 5x³ + 2x² - 6x + 7 x²+2x-3 O…

A: Polynomial function has a standard form: f(x)=anxn+an-1xn-1+an-2xn-2+...+a2x2+a1x1+a0 From the given…

Q: Let f, g = R[x] be polynomials, with deg g > 0. (a) The division rule for polynomials states that ƒ…

A: The objective is to solve the above question.

Q: e length of a shadow of a building is 91 ft when the sun is 63° above the horizon. Find the height…

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Q: vith the value m₁39 m22 and

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Q: The following equation is already given in the standard form: (x-4)² (y + 3)² + 1 25 49 Sketch a…

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Q: Write this decimal as an infinite series (just the first three terms) , then find the sum, and then…

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Q: 4. Solve. A) 3 ()² − 7 (¹) + 4 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the following indefinite integrals. You do not need to simplify your answers. i. SG +…

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Q: Find the prime factorization of 168 and 270, and then compute their LCM and GCD.

A: To compute LCM and GCD.

Q: For a given geometric sequence, the common ratio, r, is equal to 5, and the 12th term, a₁2, Is equal…

A: The nth term of a geometric sequence is given by  an = a1·rn-1 where a1 is the first term and r is…

Q: Find the eigenvalues and eigenvectors for A The eigenvalue a + bi = The eigenvalue a - bi = - 1 14]…

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Q: (g) 2s²+3 (s + 1)²(s² + 1)²

A: Fs = 2s2+3s+12s2+12                                                     1Fs =…

Q: Let G be the interval (1/3, ∞). Let □ be the operation on G such that, for all x, y € G, xay=6xy -…

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Q: 315 241 42-9

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Q: Let S be the following relation on ℂ: S = {(x, y) ∈ ℂ2 : y − x is real}. Prove that S is an…

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Q: Solve for x in the triangle. Round your answer to the nearest tenth. A 13 =0 61° x=

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Q: Suppose that the function f is defined, for all real numbers, as follows. -x+2 if x≤1 f(x) =1 Graph…

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Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. y O y = 15 x 7x X

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Q: 23. x+y+z=14 2y + 3z=-14 -16y-24z=-112

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Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 5 A 3 sine…

A: A detailed solution is given below.

Q: water level of a river in the city of Melbourne changed by − 4 1/4 feet over a 3-month period. Which…

A: Given query is to find the average rate of chnage per month.

Q: 4. 5. x²-3x-10 3x+6 ÷ 6x3 2x 5x-7 x+3 + x+13 x+3

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Q: Graph the following function over the indicated interval. y=exl; [-5,5] ...

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Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

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Q: 1. Chris was trying to solve the equation √√2x + 1 =- 7 and got x = 24. a. Check Chris' answer. C…

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