Fourteen questions every one of which is solvable by hand, aimed at the two no-calculator parts that are more than two thirds of the exam — with the…
14 questions • Zestly
• Evaluate the limit: $\lim_{x \to 3} \frac{x^2 - 9}{x - 3}$.
• A function $f(x)$ is defined as $f(x) = \frac{x^2 - 4}{x - 2}$ for $x \neq 2$ and $f(2) = k$. For $f(x)$ to be continuous at $x=2$, what…
• Find the derivative of $f(x) = x^2 \sin(x)$.
• If $y = \ln(x^3)$, what is $\frac{dy}{dx}$?
• Find $\frac{dy}{dx}$ for $x^2 + y^2 = 25$ at the point $(3, 4)$.
• The number of bacteria in a culture is given by $B(t)$. What does $B'(t)$ represent?
• If $R(t)$ is the rate at which water flows into a tank in gallons per minute, what does $\int_0^{10} R(t) dt$ represent?
• Which of the following functions fails to satisfy the Mean Value Theorem on the interval $[-1, 1]$?
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