Questions from Calculus

Q: (a) Find an equation of the tangent line to the

(a) Find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a...

Q: Use a graphing utility to graph the given function and the equations

Use a graphing utility to graph the given function and the equations y = ∣x∣ and y = −∣x∣ in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find / f(x) = │x│ sin x...

Q: Use a graphing utility to graph the given function and the equations

Use a graphing utility to graph the given function and the equations y = ∣x∣ and y = −∣x∣ in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find / f(x) = │x│ cos x...

Q: Use a graphing utility to graph the given function and the equations

Use a graphing utility to graph the given function and the equations y = ∣x∣ and y = −∣x∣ in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find / f(x) = x sin 1/x...

Q: Use a graphing utility to graph the given function and the equations

Use a graphing utility to graph the given function and the equations y = ∣x∣ and y = −∣x∣ in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find / f(x) = x cos 1/x...

Q: a. In the context of finding limits, discuss what is

a. In the context of finding limits, discuss what is meant by two functions that agree at all but one point. b. Give an example of two functions that agree at all but one point.

Q: Write a function of each specified type that has a limit of

Write a function of each specified type that has a limit of 4 as x approaches 8. a. Linear b. polynomial of degree 2 c. rational d. radical e. cosine f. sine

Q: Use a graphing utility to graph f(x) =

Use a graphing utility to graph f(x) = x, g(x) = sin x, and h(x) = sin x/x in the same viewing window. Compare the magnitudes of f(x) and g(x) when x is close to 0. Use the comparison to write a short...

Q: Would you use the dividing out technique or the rationalizing technique to

Would you use the dividing out technique or the rationalizing technique to find the limit of the function? Explain your reasoning.

Q: Use the position function s(t) = −16t2 +

Use the position function s(t) = −16t2 + 500, which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a second...