Answer the question.If we are looking for the critical points (a,b) on the surface of  then we study the tangent lines to (a,b) along the slices parallel to the  and  These tangent lines must have which of the following properties?(i) They must be perpendicular.(ii) They must be horizontal.(iii) They must be horizontal, but not perpendicular.(iv) They must be perpendicular, but not horizontal.

A. Only (iii) is correct.
B. Only (iv) is correct.
C. Both (i) and (ii) are correct.
D. Only (ii) is correct.


Answer: C

Mathematics

You might also like to view...

Add.-48 + 56

A. -8 B. 104 C. 8 D. -104

Mathematics

Use a proportion to solve the problem.On a map of the Fox River, 1 centimeter represents 5 kilometers. If a trail by the river is actually 22.00 kilometers long, what is the length of the river on the map?

A. 12 cm B. 4.4 cm C. 17 cm D. 6.4 cm

Mathematics

Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula).(4x + 1)2 = 17

A.
B. {-1 ±  }
C.
D.

Mathematics

If necessary, write the equation in the standard form ax2 + bx + c = 0. Then identify the values of a, b, and c. Do not actually solve the equation.8x2 = 7x

A. a = 8, b = 0, c = 7 B. a = 8, b = -7 C. a = 8, b = -7, c = 0 D. a = 3, b = 7, c = 0

Mathematics