Find equations for the tangent plane and the normal line to the surface with equation xy + yz + xz = 38 at the point P(4, 2, 5).

What will be an ideal response?


Mathematics

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Assume that the sequence converges and find its limit.a1 = 6, an + 1 = 

A. -6 B. 1 C. 36 D. 6

Mathematics

Decide whether the following is an expression or an equation. If it is an expression, simplify it. If it is an equation, solve it.x + 7 = 19

A. Equation; -12 B. Equation; 12 C. Expression; 26 - x D. Expression; -26 + x

Mathematics

Solve the problem.Find h as indicated in the figure. Round to the nearest meter.

A. 50 m B. 65 m C. 165 m D. 86 m

Mathematics

Solve the problem.In Country X, teacher pay in 1990 was $20.3 thousand and has increased by approximately $7 thousand per year since then.(i) Complete the table below to help find an expression that stands for the teacher pay (in thousands of dollars) at t years since 1990. Show the arithmetic to help you see a pattern.(ii) Evaluate the expression that you found in part (i) for  What does your result mean in this situation?

A. (i)

(ii) -1.7; Teacher pay will be about -$1.7 thousand in 2019.

B. (i)

(ii) -182.7; Teacher pay will be about -$182.7 thousand in 2019.

C. (i)

(ii) 223.3; Teacher pay will be about $223.3 thousand in 2019.

D. (i)

(ii) 56.3; Teacher pay will be about $56.3 thousand in 2019.

Mathematics