Which of the following is a valid reason for using common logarithms (base 10 logs) when solving an exponential equation algebraically? Taking any log other than the common log of two equal expressions does not maintain their equality O Common logarithms can be easily evaluated using readily available technologies The laws of logarithms apply only to common logs Common logs more closely model the base 10 system than all other logs.

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A: we use Trigonometry table to find out values of y = sin(2x)

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Q: Which graph correctly solves the equation below? -x²+1=x²-4

A: topic - quadratic equations

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A: Pick the odd one out.

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A: To simplify given

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A: Here we have to find the integral value.

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A: By Mean value theorem, if a function f is differentiable on a, b, then there exist c∈a, b such that…

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A: The Laplace transform of a function can be obtained by using the Laplace transform table. The…

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A: This question is based on BODMAS rule-:The brackets have to be solved first followed by powers or…

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A: Given: μ=60x¯=58.6n=43σ=6.55 The test statistic is obtained as below: z=sample statistic-Null…

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A: To determine: 7 to the power of 18

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A: Given; 3 score and 2.

Q: 2. Evaluate dz.

A: I = ∫x31 - x2 dxLet, x = cosθ ⇒ dx = -sinθ dθSo, I = ∫cos3θ1 - cos2θ- sinθ dθ          = - ∫cos3θ…

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A: here the graph passes two times  through the x -axis  so there will be two roots

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Q: III. Find the determinants of the following matrices using Laplace Expansion and Triangular matrices…

A: Given matrix is C = -2    7  0   6-2  1-1  3   2   2  3   4  0   5   3  2   5-4-2   2  0   3-1   1…

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A: Angle subtended by an arc at the center of the circle will be double of the angle subtended by the…

Q: 9⊙10 4 = ?

A: First we multiple 9x4 after that we apply the module 10.

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A: Consider the integral

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