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jacqueline beasley

jacqueline b.

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A student said the Domain of this graph is: \[ -2<x<4 \] Is this correct? If not, what was their mistake? They solved for Range They used the wrong symbols This is correct They should have used \( y \), not \( x \)

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What is the comparison operator for "Not Equal To"? <> !== NEQ =NOT

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Find $\frac{d^2y}{dx^2}$ for $y = 6x - 3x^4$

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Which of the following transformations are linear? \begin{align*} A. \begin{cases} y_1 &= 8x_1 - 10x_2 + 7x_3 \\ y_2 &= 5x_2 - 4x_3 \\ y_3 &= -9x_1 - 6x_2 \end{cases} \\ B. \begin{cases} y_1 &= 4x_1 + x_2 \\ y_2 &= -x_1 \end{cases} \\ C. \begin{cases} y_1 &= 2x_1 \\ y_2 &= 8 \end{cases} \\ D. \begin{cases} y_1 &= x_2^2 \\ y_2 &= x_3 \\ y_3 &= x_1 \end{cases} \\ E. \begin{cases} y_1 &= 6x_2 \\ y_2 &= -3x_3 \\ y_3 &= -2x_1 \end{cases} \\ F. \begin{cases} y_1 &= 4 \\ y_2 &= 8 \\ y_3 &= 0 \end{cases} \end{align*}

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1. Consider the following matrix: $\begin{pmatrix} 3 & 1 & 4 \ 1 & 0 & 2 \ 3 & 2 & 7 \end{pmatrix}$ (a) Compute the determinant of A. Show all work. (b) According to your answer above and the Matrix Inverse Theorem, is A invertible?

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Problem 1 Give useful ? estimates for the following functions t(n). (a) t(n) = 5log?(n²) + (log?(n))² + log?(n) + (log?(100))³. (b) t(n) satisfies t(n) = 2t(n/2) + n. (c) t(n) satisfies t(n) = 4t(n/3) + n.

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Splitting due to the spin-orbit coupling between the 6P1/2 and 6P3/2 states leads to a difference of Δλ = 422 Å for the first pair of the prime series. The shorter wavelength is 8521 Å. Calculate the fine structure constant α.(2p) Derive the selection rules for the quantum harmonic oscillator. (2p)

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Q-9) The circuit given below operates with input signal $V_1(t) = 1$ V. The circuit parameters given as $R = 10k\Omega$ and $C = 0.1\mu F$. Calculate output voltage $V_o(t)$ for $t = 3ms$.

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Module B: A.state = rand() % 4; if (A.state == 1 && globaltime == 6) { Module C: private int Cstate; parameters i, j1; // a call without defining parameter j is fine if i % 2 C.state = 7; } else { C.state = 100; return C.state + rand() % 4; } Module D: if (moduleC(rand() % 8) > 10) { pua >> oo >> ano; } 5. Coding with quality request: Provide brief analysis and justification of the time complexities for all questions. a) 8pts: For a sorted array A of n different elements ranging from 1 to n, suppose one element is randomly chosen. Complexity O(log n) to seek out the only repeated element. b) 8pts: Recursive callings. Then C[5]. Your code should handle all possible cases that may arise.

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Question 2: [1.5 point] In a short paragraph (200-300 words), please write about the effect of the heat in the heat affected zon on the grain structure (e.g., recrystallization), and possible effects on the integrity and quality of the welded parts? Please draw some schematics for HAZ to show the effect of heat on the base material.

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