In the expression -4-10 what is the base and the exponent? (Write your answer as: base,exponent with no spaces) Answer: 5 What is the numerical coefficient of the term -7m? Answer:

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Q: 6. Evaluate the following real integrals by residue theorem 3 •S= B Sin H соz mx (x²+9²)(x²7b²) .dx…

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Q: Express the set using the roster method. the set of natural numbers less than or equal to 6.

A: Given: the set of natural numbers less than or equal to 6. To express: The given set in roster…

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A: Inverse Laplace transform

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Q: Consider the following. C: counterclockwise around the circle  x2 + y2 = 49  from  (7, 0) to (−7, 0)…

A: Given,   C: Counterclockwise around the circle            x2+y2=49       from (-7, 0), and (7, 0).…

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Q: 15. Identify y-intercept for f(x) = 2(x² −5) + 4.

A: We have to find the y-intercept.

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Q: Find y as a function of a if y(0) = 12, y(0) = 21, y"(0) = 18. y(x) = y" 16y" +63y = 144e²,

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Q: Jump to level 1 Given the matrices below and that A = LU, solve Ax = b. A = L = X = 1 4 21 3 50 1 4…

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Q: 1) Find the general solution in terms of real functions. From the roots of the characteristic…

A: Given below clear solution

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Q: -11-10-9-8 17 -6 -2 4 17 16+ b2t 15 13 11 10- 9 8 6 4 3- 2 b + -2 -3 -4 -6- -7- -10- -13- +-16+ Find…

A: Sol:- As we know the graph of f(x) = tan(x) is similar to above :-

Q: a) find the domain and range of the function в Сху) =5 4-x2_ye 4-х

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Q: Consider the following system of linear equations, 3x3 + 2x3 + 2x1 X1 3x1 -2X₁ + X2 + 2x₂ - - X4 2x4…

A: Given system is 2x1+x2-3x3+x4=-1x1+2x2-2x3+2x4=73x1-4x2+3x3-x4=0-2x1-x2-5x3+4x4=-3 We can write…

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Q: Suppose T: M₂,2→R¹ is a linear transformation whose action is defined by a+5b+3c+2d -a-5b-3c-2d…

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Q: QUESTION 5 Suppose lim f(x) and lim f'(x) both exist and are finite. Which of the following must be…

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Q: time and that this population satisfies the differential equation Y (0.3+ sin t) dy dt NOTE: Round…

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Q: 1. Compute the determinant of the matrix. Show all your work including which row operations and…

A: 1 Given matrix is 811280−72−1−3−7211124. We have to compute the determinant of the matrix. Let…

Q: (a) y" +9y = 0; y′(0) = 0, y(π/2) = 6 (b) y" +9y=0; y(0) = 0, y(t) = 6 (c) y" +9y = 0; y(0) = 0, y'…

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Q: (1) Use the definition to prove that if x → 2 then (2x + 1)/x → 5/2.

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A: Given that D subset of R and (xn) be a sequence in R.

Q: A. B. Determine the Fourier transform of the following: f(t) = {te- C. D. F(w) F(w) = F(w) = F(w) =…

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Q: Explain why the function f(x) = 2 ln x − x attains an absolute maximum and absolute minimum on [1,…

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Q: 6. Evaluate the following real integrals by residue theorem 3 211 • 1 = √√ 201₂ do 0+2sing +3 ans o…

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Q: 6. Evaluate the following real integrals by residue theorem 3 I=S -24 2 dx 2x (x²+a²) ² ans ? tr 493…

A: 6. To Evaluate: ∫-∞∞dxx2+a22

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Q: a. 1, 1, 2, 3, 5, 8, 13, b. -2,3, 4, 5, -6, 7,

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Q: O r(t) = -4cost-2 and y(t) = -2tant - 3 Ox(t) = -2cost-3 and y(t) = -4sint - 2 O r(t) = -4sint-2 and…

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Q: Α. Β. Determine the half-range cosine series expansion of the following: f(t) = t2 + t, D. 5 V=+ 6 2…

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Q: a. Find the area of the shaded section. b. Find the centroid of the shaded of the section from the…

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Q: Xn Xn=3-(-1)" Xn=cos () Xn=Vi+² Xnwhere (un) is bounded Xn=n(1 + (-1)") +n¹((-1)"-1) lim inf(x) lim…

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Q: Find the outward flux of the field F = (x + y)î + yĵ + zk across the closed surface: S: z = 16x² -…

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Q: Find the general solution in terms of real functions. From the roots of the characteristic equation,…

A: Below given clear explanation

Q: 5. The sum of thrice a number and two equals 6 less than four times the number. Find the number.

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Q: Consider the following equation: +14+127 +4267 +962y = 926u. (t) NOTE: This is a multi-part…

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Q: 2. Using the Integral Test, determine whether the following series converge. k 00 a) E =1x2+1 1 b)…

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Q: Q2 (a) A cubic function is given, as follow: f(x) = (x+3)²(x - 2) (i) By taking h = 0.1, determine…

A: Given that: fx=x+32x-2 The objective is to determine the final answer for 2a.1 and 2a.2. Using…