Use the graphs of f(x): = 4 4 119 0 2 4 H f(x)= I i x x-2 4 x-2 20 x² 6 X 4 -00 8 48 to solve the inequality ≤0.

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Q: b) Find constants a and b for which the inverse Laplace transform of s-1 F(s) = ²+2s+5 is f(t) = e¯¹…

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Q: Does the equation 10m= 50n have any non-zero integer solutions? Justify your answer.

A: Given: Equation is  10m= 50n

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Q: Find x such that the matrix is equal to its own inverse. 5 X A-[33] = -3 -5 X =

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Q: Use the graph of f(x). f(x) 5 x² + 5 x+1 to solve the ineq

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A: Answer  We get  t= 6.868192 Now step by step approach is as follows

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Q: +6x=4y-y². Find the area inside the conic x² +

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Q: 5. Let f(x)= 1 1+z² = [¸ ƒ(2) dz. and consider Evaluate f(x) dr. (b) Find the Taylor series of f(x).…

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Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

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Q: Find ||A||₁ and ||A|| for the matrix A = 4 -1 -3 -3 2 0 5 6 1.

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Q: b) y"+y=0.

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Q: Prove that : L²₁ (1-x²) Pm Phd x T 0. 2n (n + 1) 2n + 1 4 mn. m = 11. m, ne N

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Q: are subrings of R, show that SOT is a subring. Is this the case for +tse S, te T}?

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = y² about the line x…

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Q: ∞ Let an be a nonnegative sequence with an <∞. Prove that also Σa <∞. n=1 n=1

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Q: Prove that 21′(2:) _r′(z)_T'(=+!) r (2) T(²) T (²+1) and thus derive Legendre's duplication formula.…

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Q: Prove that: L₁ (1-x²) PPdx 0, 2n(n+1) 2n +1 mn. m = 11. m, ne N

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Q: Evaluate the integral I = f-di around the circle x² + y² + 2x = 0 where . = yi-zj. (Take the path…

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Q: 3 If fix SY compact, then so is f(x). continuous and X is

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Q: 2. Compute lower and upper integrals of the function 3, 2, 4, 1 ≤ x ≤ 2 2<x<3 3≤ x ≤ 8 over [1,8].…

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Q: First derivative of ₂F₁(x): d {2F₁(a,b; c; x)} = a.b C 2F₁ (a +1, b + 1; c + 1; x)

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Q: Which function has an x-intercept of - O a) f(x) = 3x + 2 5x-1

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Q: The graph of which of the following rational functions has a hole? Oa) y= 2x - 6 X-6 b) y = 2x - 6…

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Q: Solve the equation a) x=+√√5 b) x= -5+2-√√5 2 c) x = 0, x = 5 O d) d) no solution X x + 1 5 X+ 5*

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Q: Indicate the partition of the set A={ x integer: 2 ≤ x ≤ 12 } resulting from the equivalence…

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Q: (-1)" n=027 + 1 Using the power series for tan-¹x, tan¯¹x = [-1, 1] a. Find the approximate value of…

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Q: Find A. A = 24 -- [34] 2 (8A)-1

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Q: 2. (Section 17.6) Given that = 2yî - xj+xzk, evaluate J. ds where S is the part of z = 3 + y inside…

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Q: Ət Əx² mperature dependent thermal diffusivity a(T), and a -, Q(x, t). On the left end of the pipe,…

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