Sketch the parabola y = -x² + 7x + 18 and shade the area enclosed by the parabola and the x-axis. Find the area enclosed by this parabola and the x-axis using integration.

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Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -3n-m is Cmn = e

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A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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A: Given:     The curves 2y=2x2-6x+7                       y=x2-3x+72 ...1    Curve 2y=x+4…

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Q: Find an equation of the sphere that passes through the point (3, 1, -3) and has center (1, 6, 5).

A: We use Distance formula between points x1,y1,z1 and x2,y2,z2⇒d=x2-x12+y2-y12+z2-z12

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A: Substitution and calculation is the key for such problems.

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Q: We can use the quotient rule to calculate the derivative of sec(x). O True O False

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