Identify the error that prevents the class from compiling.

After executing the selection sort, what will be printed by the program?

What will be the output when this program is run?

Evaluate $$\displaystyle\lim\limits_{x \to 0} \frac{\sin(x)}{|x|}$$. Which of the following best describes the limit?

Let $$t$$ be the function defined above. Which of the following statements about $$t$$ is true?

$$\displaystyle \lim_{x \to \infty} \frac{x^3 + 5e^x}{2x^3 - e^x}$$ is

Let $$f$$ be a continuous function on $$[-2, 8]$$ such that $$|f(-2)| = 5$$, $$|f(8)| = 3$$, and it is known that $$|f(x)| \geq 1$$ for all $$x$$ in $$[-2, 8]$$. Which of the following statements must be true about $$f$$?

Evaluate $$\lim_{x \to 0} \frac{(1+x)^{3/2} - (1-x)^{1/2} -1}{x}.$$

Without using a calculator, determine which equation represents a function that is equal to 2 for all x (except at a removable discontinuity at $$x=0$$).

Without using a calculator, determine which equation represents a continuous, linear function that passes through the points $$(0,2)$$ and $$(4,0)$$.

What is the derivative of $$\sin(x)$$?

I. If $$y=f(x)$$, then the derivative $$\frac{d}{dx}[y]$$ is denoted by $$f'(x)$$. II. The notation $$\frac{dy}{dx}$$ represents the instantaneous rate of change of $$y$$ with respect to $$x$$. III. The notation $$f''(x)$$ represents the derivative of $$f'(x)$$, which gives insights into the curvature of $$f(x)$$. Which of these statements concerning derivative notation is/are true?

Which of the following is an example of interpreting the derivative as the instantaneous rate of change in a motion context where the position of an object is given by $$s(t)=4*t^2-2*t+1$$?

Determine the derivative of $$f(x)=\frac{3*x^2-1}{2*x+5}$$ using the Quotient Rule.

The limit $$\lim_{h\to0}\frac{(x+h)^3-x^3}{h}$$ represents the instantaneous rate of change of the function $$f(x)=x^3.$$ Setting this derivative equal to 12 gives the equation $$3x^2=12.$$ Solve for x.

Using the limit definition of the derivative, evaluate the derivative of $$f(x)=x^2$$ at $$x=3$$.

A particle’s position is given by $$x(t)=t^3-6*t^2+9*t+5$$ with velocity $$x'(t)=3*t^2-12*t+9$$. Solve the equation $$3*t^2-12*t+9=3$$ to find the time t (with t > 2) at which the particle’s velocity is $$3\,m/s$$.

For the function $$f(x)= 4*x^2-12*x+7$$, the derivative is $$f'(x)= 8*x-12$$. Solve the equation $$8*x-12=0$$ for x.

Which of the following is an example of removing a discontinuity by algebraic manipulation using cancellation?