Exam 1: Functions,graphs,and Limits

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List all the values of x for which the given function is not continuous. $f ( x ) = \left\{ \begin{array} { c l } x ^ { 3 } & \text { if } x \leq 5 \\125 & \text { if } x > 5\end{array} \right.$

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Question 21

A closed cylindrical can has a surface area of 120 $\pi$ square inches.Express the volume of the can as a function of its radius,r.

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Question 22

Find the slope (if possible) of the line that passes through the given pair of points. (28,7)and (8,3).

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Question 23

Determine the domain of the given function. $f ( x ) = \frac { x ^ { 2 } - 1 } { x + 3 }$

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Question 24

Write an equation for the line through (5,4)and parallel to the x-axis.

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Question 25

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List all the values of x for which the given function is not continuous. $f ( x ) = \left\{ \begin{array} { c l } x ^ { 3 } & \text { if } x \leq 5 \\125 & \text { if } x > 5\end{array} \right.$

A closed cylindrical can has a surface area of 120 $\pi$ square inches.Express the volume of the can as a function of its radius,r.

Find the slope (if possible) of the line that passes through the given pair of points. (28,7)and (8,3).

Determine the domain of the given function. $f ( x ) = \frac { x ^ { 2 } - 1 } { x + 3 }$

Write an equation for the line through (5,4)and parallel to the x-axis.

Differentiation: Basic Concepts

Additional Applications of the Derivative

Exponential and Logarithmic Functions

Itegration

Additional Topics in Integration

Calculus of Several Variables

Differential Equations

Infinite Series and Taylor Series Approximations

Probability and Calculus

Trigonometric Functions

Calculus Practice Questions

Mathematical Problem Set: Calculus, Algebra, and Optimization

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Exam 1: Functions,graphs,and Limits

List all the values of x for which the given function is not continuous. f(x)={x3 if x≤5125 if x>5f ( x ) = \left\{ \begin{array} { c l } x ^ { 3 } & \text { if } x \leq 5 \\125 & \text { if } x > 5\end{array} \right.f(x)={x3125​ if x≤5 if x>5​

A closed cylindrical can has a surface area of 120 π\piπ square inches.Express the volume of the can as a function of its radius,r.

Find the slope (if possible) of the line that passes through the given pair of points. (28,7)and (8,3).

Determine the domain of the given function. f(x)=x2−1x+3f ( x ) = \frac { x ^ { 2 } - 1 } { x + 3 }f(x)=x+3x2−1​

Write an equation for the line through (5,4)and parallel to the x-axis.

Differentiation: Basic Concepts

Additional Applications of the Derivative

Exponential and Logarithmic Functions

Itegration

Additional Topics in Integration

Calculus of Several Variables

Differential Equations

Infinite Series and Taylor Series Approximations

Probability and Calculus

Trigonometric Functions

Calculus Practice Questions

Mathematical Problem Set: Calculus, Algebra, and Optimization

Filters

List all the values of x for which the given function is not continuous. $f ( x ) = \left\{ \begin{array} { c l } x ^ { 3 } & \text { if } x \leq 5 \\125 & \text { if } x > 5\end{array} \right.$

A closed cylindrical can has a surface area of 120 $\pi$ square inches.Express the volume of the can as a function of its radius,r.

Determine the domain of the given function. $f ( x ) = \frac { x ^ { 2 } - 1 } { x + 3 }$