Yc = C₁x² + C₂x + c3 cos 2x, g(x) = sin 2x + 4x³|

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A: According to the Leibniz rule, we have: ddx∫u(x)v(x)f(t)dt=f(v(x))·ddx[v(x)]-f(u(x))·ddx[u(x)]

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A: Solve the given equation for ‘w’. This equation can be simplified to form a quadratic equation.

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A: Given expression.  x²+y

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A: From we have : X Y -0.3 0.09 0.3 0.07 2.1 0.47 1.8 0.85 0 0.31 0 0.38 0.3 0.71 0…

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A: Given : x = cos2ty = cost

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A: We have to find the matrix

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Q: For the part circled in red, my question is why is it 3-(y^2 +1)

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A: Our Aim is to identify the focus of (y-3)2=8(x-2)-(i)

Q: 4. Fit a second degree parabola y = a + bx + cx? to the following data 2. 8. 10 y 3.07 12.85 31.47…

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A: Solution: The observed frequency table is    D R I Row Total  West 37 19 10 66 North 15 31 11…

Q: f (2) = (2³ + 8) e², f' (8i) = re®,

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Q: d?y - =6-9x dx 2 Find the equation of the curve for which and which passes through the points (0,…

A: To find the curve satisfying the conditions

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A: