Explain why 1 2 x + 2x + 9 ≤ 0 has no solution.

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A: I have explained everything with in the solution. Please go through that.

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Q: Prove that if x² = y² (mod n) and x #±y (mod n) then gcd(x + y, n) is a nontrivial factor of n.

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Q: Find the product xy if 2 + 3y = 5, = 18. 2x+²+3+1

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Q: O Find the solution of the given initial value problem. t³y' + 4t²y = e−¹, y(−1) = 0

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Q: a) Find the general solution to the system of equations 2 1 #-3--0 x + -1 0 dx dt = t " where x(t) =…

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Q: In a normal distribution, what z-scores separate the middle 90% from the extreme 10% in the tails?…

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Q: 7. Write the second-order ODE 2y" - 4y' +6y= cos(t), as a linear system (with forcing) for y(t) =…

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Q: Consider the following differential equation, 5xy" +(1+x) y² + 2y = 0. Note that x = 0 is a regular…

A: 5xy''+1+xy'+2y=0 x0=0 is a regular point.

Q: H(n) = {²₁-1 if n = 0 2n − 1 + H(n − 1) if n>0 1) Find A, B, and C such that f(n) = An² + Bn + C is…

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Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green, blue}. Find the number indicated. HINT…

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Q: 16. Given F = (e²,,x), and G(r,s) = (rs,r+s,r) from 0 ≤r ≤ 1 and 0 ≤ ≤ 1, find oriented by T, x 7₁.…

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Q: (2) Section 7.1 problem 4: Find the ranges of the following functions on Z: (a) g = {(x, 4x + 1)|x €…

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Q: For this Big Problem, we’ll pretend you work for MathWorld Airlines. Your job is to figure out…

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Q: (8) How many integers in the set [1,000] = {1, 2, ..., 1,000} are (a) divisible by 5? divisible by…

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Q: What requirements are necessary for a normal probability distribution to be a standard normal…

A: I have explained everything with in the solution .please go through that.

Q: Use the given information to complete the solution of each partially solved Venn diagram. n(A) = 13,…

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Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

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Q: (d) Now, prove using induction that every tree has chromatic number 2.

A: We have to prove by induction that every tree has chromatic number 2

Q: Instructions: Please show your steps/calculations and understanding steps by steps. 3. Using the…

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Q: 4. Let S be the portion of the plane x+y+z= 1 which lies in the positive octant. (a) Draw a picture…

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Q: - Find the orthogonal projection of y onto Span{₁, ₂} 1 y = 3, U₁ 5 1 5 3, U₂ = 1 -2

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