MATH 36 H Exercises
CHAPTER 5 Applications of the Derivative
1. Find the rate of change of the circumference of a circle with respect to the area, when area equals 4
square feet.
Ans. ft / sq. ft.
2.
MATH 36 H
Axiomatic Development of the Real Number System
Exercises
I. Prove the following using mathematical induction.
1.
2.
for
and
3.
4.
is divisible by 4
5.
for
and
II. Find the first four elemen
MATH 36 H
Guided Quiz
Applications of the Derivative
1. The base and base angles of an isosceles triangle are increasing at the respective rates of 2 feet
per second and 5 per second. When the base is
MATH 36-H 2nd Semester 2010-2011
Third Long Examination (Sample)
INSTRUCTIONS:
1. Write all answers legibly and according to the order as they appear in this questionnaire in your bluebook.
Avoid eras
MATH 36-H 2nd Semester 2010-2011
Second Long Examination (Sample)
INSTRUCTIONS:
1. Write all answers legibly and according to the order as they appear in this questionnaire in
your bluebook. Avoid era
7.
2
y =8 x 4 p=8 p=2. The focus is at (2,0). Then the center of the circle is at (2, 0)
since the latus rectum of the parabola is a diameter.
2
2
2
2
Its radius is 4. The equation is ( x2) + y =16 x