Mathematics 21 TWHFX9-4/TWHFX10-4
Midyear 2024
Homework 4
DEADLINE: August 5, 2024, 12 PM
DIRECTIONS. Work independently. Provide complete and legible solutions to the
following items below. Do not consult anyone except your instructor. Any form of
cheating will be subject to disciplinary action.
1. Let y = f (x) be a curve
that all points (x, y) on the curve satisfy the equation
such
d2 y
1
= f (−5) = 0, find an equation of the curve.
= 18x + 22. If f
dx2
3
2. Evaluate the integral
Z
36x3 − 10x
dx.
9x4 − 6x2 + 4
′
Z 2
3. Use the First Fundamental Theorem of Calculus to find f (1) given f (x) =
ln x
*END OF HOMEWORK*
cos(πe2t ) dt.