DIF & INTEG CALC

Question 1

WHO INVENTED THE SYMBOL "00" FOR INFINITY?

Accepted Answer

JOHN WALLIS

Question 2

IN CALCULUS, ALL FUNC ARE CALSSIFIED AS EITHER ALGEBRAIC OR TRANSCENDENTAL. WHICH OF THE FF IS NOT AN ALGEBRAIC FUNC

Accepted Answer

EXPONENTIAL LOGARITHMIC FUNC

Question 3

THE FIELD OF MATHEMATICS WHICH REST ON UPON THE FUNDAMENTALS CONCEPT OF LIMITS AND WAS CREATED BY NEWTON AND LEIBNIZ.

Accepted Answer

CALCULUS

Question 4

EVALUATE THE INTEG OF Tanh u du

Accepted Answer

In cos h u + c

Question 5

THE INTEG IF sin^m 0 cos^n d0 EASILY BE DETERMINED BY USING WALLIS FORMULA PROVIDED THE LIMITS ARE FORM

Accepted Answer

0 TO PI/2

Question 6

ANY SET OF ORDERED PAIR IS CALLED A

Accepted Answer

RELATION

Question 7

THE F'' (X) IS NEGATIVE OF THE CURVE OF Y=(x) IS CONCAVE_____.

Accepted Answer

DOWNWARD

Question 8

AN INFINITE SERIES IN WHICH SUCCESSIVE TERMS ARE OF THE FORM OF CONSTANT TIMES SUCCESSIVE INTEGRAL POWER OF THE VARIBLE.

Accepted Answer

POWER SERIES

Question 9

ANY PAIR OF ELEMENTS ( X, Y) HAVING A FIRST ELEMENT X AND A SECOND ELEMENT Y IS CALLED

Accepted Answer

ORDERED PAIR

Question 10

WHEN THE ELLIPSE IS ROTATED ABOUT IS SHORTER AXIS, THE ELLIPSOID IS

Accepted Answer

OBLATE

Question 11

THE PT ON THE CURVE WHERE THE 2ND DERI OF A FUNCTION IS EQUAL TO ZERO IS CALLED

Accepted Answer

CRITICAL PT

Question 12

THE VOLUME OF ANY SOLID REVOLUTION IS EQ TO THE GENERATING ARE TIMES CIRCUMFERENCE OF THE CIRCLE DESCRIBED BY THE CENTRO

Accepted Answer

SECOND PROPOSITION OF PAPPUS

Question 13

WHAT IS 1-TAN H^2 X EQUAL TO

Accepted Answer

SEC H^2 X

Question 14

WHEN A CATENARY (Y= cosh x) IS ROTATED ABOUT ITS AXIS OF SYMMETRY, IT GENERATES A SOLID CALLED

Accepted Answer

CATENOID

Question 15

AT PT OF INFLECTION

Accepted Answer

Y''=0

Question 16

IF THE SECOND DERIVATIVE OF THE EQ. OF A CURVE IS EQUAL TO THE NEGATIVE OF THE EQ. OF THAT SAME CURVE, THE CURVE IS

Accepted Answer

A SINUSOID

Question 17

THE ___ OF A RELATION IS THE SET OF 2ND ELEMENTS OF THE PAIR IN THE RELATION

Accepted Answer

RANGE

Question 18

THE L'HOSPITAL RULE WAS FORMULATED BY

Accepted Answer

J. BERNOULLI

Question 19

CATENARY IS THE SHAPE ASSUMED BY PERFECTLY FLEXIBLE UNIFORM CABLE HANGING BETWEEN SUPPORTS. IT IS A GRAPH OF

Accepted Answer

Y= COSH X

Question 20

WHEN THE ELLIPSE IS ROTATED ABOUT IS LONGER AXIS, THE ELLIPSOID IS

Accepted Answer

PROLATE

Question 21

THE DERI. OF CSC 0 IS

Accepted Answer

-CSC0 COT0

Question 22

MANY INTEGRALS MAY BE EVALUATED BY INTRODUCING A NEW VARIABLE OF INTEGRATION IN PLACE OF THE ORIGINAL VARIABLES. THE TWO

Accepted Answer

INTEGRATION BY SUBS

Question 23

VARIGNON'S THEOREM IS USED TO DETERMINE ________.

Accepted Answer

LOCATION OF CENTROID

Question 24

A SOLID OF REVOLUTION OF A PARABOLA IS KNOWN AS

Accepted Answer

PARABOLOID

Question 25

THE CRITICAL PTS OF A GRAPH OCCUR WHEN THE DERI. OF A FUNC. IS

Accepted Answer

ZERO OR APPROACHES INFINITY

Question 26

IF Y=TANHX, FIND DY/DX

Accepted Answer

SECH^2 X

Question 27

THE PT WHERE THE 2ND DERI. OF A FUNCTION IS 0

Accepted Answer

PT OF INFLECTION

Question 28

AT MAX PT

Accepted Answer

ALL OF THE ABOVE

Question 29

THE PT WHERE THE FIRST DERI OF A FUNC IS ZERO AND THE 2ND DERI. IS POSITIVE

Accepted Answer

MINI PT

Question 30

THE INTEG OF ANY QUOTIENT WHOSE NUMERATOR IS THE DIFFERENCE OF THE DENOMINATOR IS THE _______ OF THE DENOMINATOR

Accepted Answer

LOGARITHM

Question 31

AT THE POINT OF INFLECTION WHERE X=A

Accepted Answer

F''(A)=0

Question 32

THE DERI. OF A FUNCTION IS IDENTICAL TO THE _____ OF THE GRAPH OF THE FUNCTION

Accepted Answer

SLOPE

Question 33

A FUNCTION F(X) IS CALLED___ OF F(X) IF F'(X)=F(X)

Accepted Answer

ANTIDERIVATIVE

Question 34

THE VALUE OF X IN TRIGONOMETRIC SUBSTITUTION WITH AN INTEGRAND INVOLVING (a^2- x^2) IS

Accepted Answer

a sin 0

Question 35

WHICH OF THE FF. IS NOT DETERMINATE FORM?

Accepted Answer

00/00

Question 36

THE ____ DERI. OF THE FUNC. IS THE RATE OF CHANGE OF THE SLOPE OF THE GRAPH

Accepted Answer

SECOND

Question 37

THE AREA OF THE SURFACE GENERATED BY ROTATING ANY PLACE CURVE ABOUT A CERTAIN AXIS IN ITS PLANE IS EQUAL TO THE PRO

Accepted Answer

FIRST PROPOSITION OF PAPPUS

Question 38

WHICH OF THE FF. IS DETERMINATE?

Accepted Answer

00, 00

Question 39

A COLLECTIVE TERM FOR MAXIMA OR MINIMA, WHETHER ABSOLUTE OF RELATIVE IS CALLED

Accepted Answer

EXTREMA

Question 40

AT A PT WHERE Y'=0, IF Y CHANGES FROM + TO - AS X INCREASES.

Accepted Answer

Y IS MAX

Question 41

AT A PT WHERE Y'=0, IF Y CHANGES FROM + TO - AS X INCREASES

Accepted Answer

Y IS MAX

Question 42

THE VARIABLES INSIDE THE INTEG IS CALLED VARIABLE OF INTEGRATION OR INTEGRATION VARIABLE. IT IS SOMETIMES REFERRED TO AS

Accepted Answer

DUMMY VARIABLE

Question 43

A PT AT WHICH THE CURVE CHANGES FROM CONCAVE UPWARD TO CONCAVE DOWNWARD AND VICE VERSA IS KNOWN AS

Accepted Answer

PT OF INFLECTION

Question 44

______ IS ALSO KNOWN AS THE COMPOSITE FUNCTION RULE

Accepted Answer

CHAIN RULE

Question 45

NEWTON WAS INSPIRED BY AN APPLE. PAPPUS PROPOSITIONS WERE INSPIRED BY WHAT FRUITS?

Accepted Answer

APPLE & LEMON

Question 46

THE PT OF THE CURVE WHERE THE FIRST DERI OF A FUNCTION IS ZERO & THE 2ND DERI. IS + CALLED

Accepted Answer

MINIMA

Question 47

A RELATION IN WHICH THERE IS EXACTLY ONE RANGE ELEMENT ASSOCIATED WITH EACH DOMAIN ELEMENT.

Accepted Answer

FUNCTION

Question 48

A _______ SECTION OF A SURFACE OF REVOLUTION IS THE SECTION CONTAINING THE AXIS OF REVOLUTION

Accepted Answer

MERIDIAN

Question 49

A PT ON THE GRAPH WHERE THHE TANGENT LINE EITHER LINE IS EITHER HORIZONTAL OR VERTICAL IS KNOWN AS

Accepted Answer

CRITICAL PT

Question 50

THE DERI OF a^u WITH RESPECT TO X IS

Accepted Answer

a^u In a du/dx

Question 51

THE OPERATION OF FINDING THE DERIVATIVE OF A FUNCTION

Accepted Answer

DIFFERENTIATION

Question 52

POINTS OF DERIVATIVES WHICH DO NOT EXISTS ( AND SO EQUALS ZERO) ARE CALLED

Accepted Answer

MINIMUM AND MAX

Question 53

WHAT IS THE MINIMUM PT WHERE THE 2ND DERI IS 0

Accepted Answer

INFLECTION PT

Question 54

THE ____ OF A RELATION IS THE SET OF FIRST ELEMENTS OF PAIRS IN THE RELATION

Accepted Answer

DOMAIN

Question 55

THE QUANTITY 2/(e^x- e^-x) IS EQUAL TO

Accepted Answer

CSCH X

Question 56

CALCULUS WAS INVENTED BY

Accepted Answer

NEWTON AND LEIBNIZ

Question 57

AT THE MINIMUM POINT, THE SLOPE OF THE TANGENT LINE IS

Accepted Answer

ZERO

DIF & INTEG CALC

Questions 57

DIF & INTEG CALC

Questions 57