adv math and others common questions

Question 1

SINE ANGLES AT MAXIMUM RATIO OF SIDES

Answer 1

1:1:1

Question 2

log (3-2i)

Answer 2

0.5570 - j0.2554

Question 3

y = arctan (ln x), x=1/e

Answer 3

e/2

Question 4

DOUBLE INTEGRAL 2y, 3y

Answer 4

ln 4

Question 5

MAX VALUE OF 3^(sin3x)

Answer 5

MAX FENCING 20ft

Question 6

RECTANGLE SIDES PARALLEL, MAX AREA

Answer 6

1250

Question 7

ORTHOGONAL 9i + 9j + 9k

Answer 7

i/√3 + j/√3 + k/√3

Question 8

ORTHOGONAL TRAJECTORIES
y^2 = 2x + C

Answer 8

y = Ce^(-x)

Question 9

GEN SOLUTION y’ = y sec(x)

Answer 9

y = C(sec x + tan x)

Question 10

SOLUTION TO y(k+1) = y(k)+5

Answer 10

y(k) = 20 + 5k

Question 11

FAMILY OF PARABOLAS

Answer 11

2x dy - ydx = 0

Question 12

SECOND QUADRANT AREA
x^2 + y^2 = 36 at y + 10 = 0

Answer 12

2228.83

Question 13

FIRST OCTANT PART OCTANT PART x/a + y/b + z/c = 1

Answer 13

1/2 (√(a^2b^2 + b^2c^2 + a^2c^2)