Find equations for the tangent plane and the normal line to the surface with equation x² + 9y² + 9z² = 22 at the point P(2, 1, 1).


Mathematics

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Find the equilibrium solutions of the equation of change . Round your answer to two decimal places, if necessary. ?

A.  and
B.  and
C.  and
D.  and

Mathematics

Find the prime factorization of the number.80

A. 2 ? 2 ? 2 ? 2? 5 ? 5 B. 2 ? 2 ? 2 ? 5 ? 5 C. 2 ? 2 ? 2 ? 2 ? 5 D. 2 ? 2 ? 2 ? 5

Mathematics

Provide an appropriate response.A company repays a $50,000 loan by paying 10% of the outstanding loan each month. Find the amount the company pays in the fourth and twentieth months.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the quadratic inequality. Write the solution set in interval notation.-3x2 + 2x - 5 ? 0

A. ?
B. (-?, ?)
C.
D.

Mathematics