Calculus is the mathematical study of change and rate of change.
Answer
True
False
Question 2
Question
Calculus has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves)
Answer
True
False
Question 3
Question
Derivative in calculus, a quantity indicating how a function changes when the values of its inputs change.
Answer
True
False
Question 4
Question
Modern calculus was developed in 17th century Europe by John Napier and Calculus Maximus, but elements of it have appeared in ancient Africa , columbia and cambodia.
Answer
True
False
Question 5
Question
L'Hospital rule says that If the degree of the numerator is greater than the degree of the denominator the answer is 0.
Answer
True
False
Question 6
Question
log 1000 = 4
Answer
True
False
Question 7
Question
Maxwell's theory of electromagnetism and Einstein's theory of general relativity are also expressed in the language of differential calculus.
Answer
True
False
Question 8
Question
An integral is basically the exact opposite of a derivative.
Answer
True
False
Question 9
Question
The method of logarithms was publicly propounded by John Napier in 1614, in a book titled Mirifici Logarithmorum Canonis Descriptio (Description of the Wonderful Rule of Logarithms).
Answer
True
False
Question 10
Question
Exponents are shorthand for repeated multiplication of the same thing by itself.
Answer
True
False
Question 11
Question
Which of the following is the correct description of N=f(t)?
Answer
'N'is a function, f, of t
f is a function, N, of t
N is a function, t, of f
t is a function, f, of N
Question 12
Question
Which function below best describes the following statement?
The average daily level of carbon monoxide in the air is denoted by c, where c is a function of the population, p, c is measured in parts per million and p is measured in thousands and c is equal to 0.5 times the population plus one.
Answer
p(c)=0.5c+1
p(c)=0.5p+1
c(p)=0.5c+1
c(p)=0.5p+1
Question 13
Question
Which of the following is the derivative of f(x)=3x+2?
Answer
f′(x)=2
f′(x)=3
f′(x)=5
There is not enough information to answer the question.
Question 14
Question
Suppose y=f(x). Which of the following statements is correct?