Find any points on the hyperboloid x2 − y2 − z2 = 8 where the tangent plane is parallel to the plane z = 7x + 7y. (If an answer does not exist, enter DNE.)

Without multiplying, tell which product is larger and why. 5 × 1/3 or 5 × 2/3 a)5 × 1/3 because 1/3 is less than 2/3 b) 5 × 1/3 because 1/3 is greater than 2/3 c) 5 × 2/3 because 1/3 is less than 23 d) 5 × 23 because 1/3 is greater than 2/3