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Calculus is the mathematical study of change and rate of change.
Question 2
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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)
Question 3
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Derivative in calculus, a quantity indicating how a function changes when the values of its inputs change.
Question 4
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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.
Question 5
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L'Hospital rule says that If the degree of the numerator is greater than the degree of the denominator the answer is 0.
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Maxwell's theory of electromagnetism and Einstein's theory of general relativity are also expressed in the language of differential calculus.
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An integral is basically the exact opposite of a derivative.
Question 9
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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).
Question 10
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Exponents are shorthand for repeated multiplication of the same thing by itself.
Question 11
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Which of the following is the correct description of N=f(t)?
Question 12
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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
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p(c)=0.5c+1
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p(c)=0.5p+1
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c(p)=0.5c+1
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c(p)=0.5p+1
Question 13
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Which of the following is the derivative of f(x)=3x+2?
Question 14
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Suppose y=f(x). Which of the following statements is correct?
Answer
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dy/dx=f(x)
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dy/dt=f′(x)
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dy/dx=f(t)
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dy/dx=f′(x)
Question 15
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For 2x + y = 4, find the slope.
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Question 19
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The limit of 16x as x approaches 0 is:
Question 20
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Find dy/dx
y = -7x + 5
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