Deck 11: Fundamentals of Calculus

Question 1

Function f(x) is exist when:

A)LHL = RHL
B)LHL ? RHL
C)LHL > RHL
D)LHL < RHL

Answer 1

LHL = RHL

Question 2

A function expressed directly in terms of the dependent variable is an _________ function, where one variable is dependent on the other.

A)implicit
B)fixed
C)variable
D)explicit

Answer 2

explicit

Question 3

In the equation y = f (x), y is the __________variable and x is the ____________variable.

A)dependent; independent
B)independent; dependent
C)first; second
D)explicit; implicit

Answer 3

dependent; independent

Question 4

The derivative of x3 is

A)3x
B)3
C)3x²
D)x

Question 5

The derivative of (5x - 2)³ is

A)15(5x - 2)²
B)5x - 2
C)15(5x - 2)³
D)15x - 2

Question 6

The derivative of 2x+3 is

A)x
B)3
C)2
D)1

Question 7

A square matrix in which every non-diagonal is zero and all diagonal elements are equal is called

A)Scaler matrix
B)Square matrix
C)Column matrix
D)Row matrix

Question 8

Differential calculus helps to find the

A)Rate of change of a quantity
B)Quantity when the rate of change is known
C)Quantity when the rate of change is unknown
D)None of the above

Question 9

Integral calculus helps to find the

A)Rate of change of a quantity
B)Quantity when the rate of change is known
C)Quantity when the rate o change is unknown
D)None of the above

Question 10

A function expressed directly in terms of the dependent variable is said to be an

A)Explicit function
B)One valued function
C)Two valued function
D)None of the above

Question 11

When the dependent variable increases with an increase in the independent variable, the function is called

A)Algebraic functions
B)Rational functions
C)Monotonically increasing function
D)None of the above

Question 12

The limit of the ratio of the increment in the function corresponding to a small increment in the argument as the latter tends to zero is

A)matrix
B)limit
C)function
D)derivative

Question 13

Integration is also known as

A)Anti-derivative
B)Disintegration
C)Differentiation
D)Integral