Basic Calculus

I. We can use the factoring and rationalizing technique to evaluate indeterminate forms of functions of type 0 over 0. To verify if the function is indeterminate, evaluate it at x=c.

II. The value of the asymptote will make the value of the expression’s denominator equal to zero, we can say that the expression is discontinuous.

• A. If only statement I is correct

• B. If only statement II is correct

• C. If both statements are correct

• D. If both statements are incorrect

Which of the following limit laws will not be used to evaluate lim (2x - 8) as x approaches to 3?

• A. Power law

• B. Constant Multiple law

• C. Limit of an identity function

• D. Limit of a Constant function

Estimate the limit of 4x - 3 as x approaches to 10.

• 36

• 37

• 38

• 39

We can say that the expression is discontinuous when the denominator of an expression is __________.

• one

• zero

• negative

• radical number

What will be the highest variable that will be obtained when you derive  f’(x) = 4x⁶ + 5x³ + 2?

• 24x⁶

•  24x⁵     

• 24x⁴

• 24x³

A rectangular garden has a width of x³ - 2x² + 10 m and a length of 3x² – 5x + 7 m. Find the limit of    the width of the rectangular garden as x approaches to 4.

• 42

• 44

• 46

• 48

Find the derivative of the area of a square classroom with a dimension of 2x^2 +3x meters.

• A. 4x +3 m^2

• B. 4x^3 + 5x +3 m^2

• C. 4x^4 + 12x^3 + 9x^2 m^2

• D. 16x^3 + 36x^2 + 18x m^2

Nursing, psychiatric and home-health aides determine schedules and keep records of patient progress. People seeking employment in these areas require a keen mathematical background. What kind of function can help them?

• Polynomial

• Radical

• Rational

• Quantitative

• -119

• -113

• 7

• 40

I.The derivative of a constant function is x.

II. Rational functions are only continuous in their respective domains.

• A. If only statement I is correct

• B. If only statement II is correct

• C. If both statements are correct

• D. If both statements are incorrect