tup-m 1-17 (math)

21ST ELECTRONICS AND COMMUNICATIONS ENGINNERING

IECEP-Manila Form 1 S.2011 TEST QUESTIONS

1. Please Use One Page per Question.

2. Fill-out all needed information.

3. Submissions with incomplete data will not be considered. PROFILE OF CONTRIBUTOR

Name of SchoolTechnological University of the Philippines - Manila

AddressAyala Blvd., Ermita, Manila

Signature over Printed Name , Position

Engr. Edmon O. Fernandez, Instructor-I

Area of SpecializationSignal Processing and Control Systems

Please indicate the subject:

(/) Mathematics () Electronics

QUESTION:

The graphs of the equations of the forms r = asinn and r = acosn where n is a positive integer, greater than 1, are called _____.

Choices:

a. Lemniscatesb. Rose Curvesc. Cardioidsd. Limacons

ANSWER:

b.Rose Curves

SOLUTION ( IF PROBLEM -SOLVING)

Reference: Analytic Geometry Fourth Edition by Gordon Fuller, Page 140

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IECEP Manila












QUESTION:

The graph of an equation of the form r = b + asin or r = b + acos is called a ________.

Choices:

a. Lemniscatesb. Rose Curvesc. Cardioidsd. Limacons

ANSWER:

d.Limacons



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IECEP Manila












QUESTION:

A/n ______ is the set of all points P in a plane such that the sum of the distances of P from two fixed points F and G of the plane is constant.

Choices:

a. Ellipse

b. Circle

c. Conic

d. Parabola

ANSWER:

a. Ellipse



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QUESTION:

Any differential equation of the form y= px + f(p) where f(p) contains neither x nor y explicitly is called a/n _______.

Choices:

a. Bernoullis Equation

b. Clairauts Equation

c. Homogenous Equation

d. Laguerre Polynomials

ANSWER:

d.Laguerre Polynomials


Reference: Elementary Differential Equations by Earl D. Rainville and Phillip E. Bedient, Page 335

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IECEP Manila

IECEP-Manila Form 1 S.2011 TEST QUESTIONS1. Please Use One Page per Question.










QUESTION:

These variables are dimensionless combinations of the physical variable and parameters of the original.

Choices:

a. Canonical Variables

b. Dependent Variables

c. X and Y Variables

d. Controlled Variables

ANSWER:

a. Canonical Variables


Reference: Elementary Differential Equations by Earl D. Rainville and Phillip E. Bedient, Page 532

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IECEP Manila

IECEP-Manila Form 1 S.2011 TEST QUESTIONS1. Please Use One Page per Question.










QUESTION:

This states that every integral rational equation has at least one root.

Choices: a. Fundamental Theorem of Arithmetic

b. Fundamental Theorem of Counting

c. Fundamental Theorem of Algebra

d. Fundamental Theorem of Equations

ANSWER:

c.Fundamental Theorem of Algebra


Reference: College Algebra by Paul R. Rider, Page 209

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IECEP Manila IECEP-Manila Form 1 S.2011 TEST QUESTIONS1. Please Use One Page per Question.










QUESTION:

The logarithm of the reciprocal of a number is called _____.

Choices:

a. Inverse Logarithm

b. Cologarithm

c. Index

d. Briggsian Logarithm

ANSWER:

b.Cologarithm


Reference: College Algebra by Paul R. Rider, Page 253

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IECEP Manila IECEP-Manila Form 1 S.2011 TEST QUESTIONS1. Please Use One Page per Question.










QUESTION:

Given the equation: where L-1 is the inverse Laplace transform of a function f(s). Find x

Choices:

a. e-atb. eatc. a-etd. aet

ANSWER:

a. e-at


Reference: pg 211, Elementary Differential Equation, 7th edition, Earl D. Rainville and Phillip Bedient

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QUESTION:

Solve the initial value problem

Choices:

a. b. c. d.

ANSWER:

a.


Taking the Laplace transform of the DE

Reference: pg 216-217, Elementary Differential Equation, 7th edition, Earl D. Rainville and Phillip Bedient

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QUESTION:

Find the first derivative of uv.

Choices:

a. b. c. d.

ANSWER:

a.


Reference: pg 207, Calculus with Analytic Geometry, Unabridged edition, Thurman S. Peterson

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QUESTION:

If , determine .

Choices:

a. ln 0.5

b. ln 2

c. ln 3

d. ln 1.5

ANSWER:

a. ln 0.5



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QUESTION:

Evaluate:

Choices:

a. b. c. d.

ANSWER:

a.



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QUESTION:

Simplify:

Choices:

a. Tan-1 1/7

b. Tan-1 1/6

c. -Tan-1 1/7

d. -Tan-1 1/6

ANSWER:

a. Tan-1 1/7



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QUESTION:

How many different signals, each consisting of 6 flags hung in a vertical line, can be formed from 4 identical red flags and 2 identical blue flags?

Choices:

a. 15

b. 672

c. 720

d. 34560

ANSWER:

a. 15


This is a case of permutations of indistinguishable objects

Reference: pg 25, Schaums Outline of Theories and Problems in Probability by Seymour Lipschutz

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QUESTION:

Three light bulbs are chosen at random from 15 bulbs from which 5 are defective. Find the probability that one light bulb drawn is defective.

Choices:

a. b. c. d.

ANSWER:

a.


This is a case of hypergeometric probability distribution.


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QUESTION:

A point is selected at random inside a circle. Find the probability that the point is closer to the center than to its circumference.

Choices:

a.

b.

c. 1/3

d. 1

ANSWER:

a.


For the circle given, draw a concentric circle with a radius half of the radius of the given circle. A point that lies on the inner circle is closer to the center of the original circle than to its circumference.

For the probability, we have:


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QUESTION:

Consider the series Sn =1 -1 +1 -1 +1 + - If n is even, the sum is zero and if n is odd, the sum is 1. What do you call this kind of infinite series?

Choices:

a. Oscillating series

b. Geometric series

c. Bilateral Series

d. Di-valued Series

ANSWER:

a. Oscillating series



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tup-m 1-17 (math)

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