Questions from General Calculus

Q: Sketch the graph of f by hand and use your sketch to

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Use the graphs and transformations of Sections 1.2 and 1.3.) f (x) = ex

Q: Find the critical numbers of the function. h (t

Find the critical numbers of the function. h (t) = 3t - arcsin t

Q: Suppose f is a continuous function defined on a closed interval [

Suppose f is a continuous function defined on a closed interval [a, b]. (a). What theorem guarantees the existence of an absolute maximum value and an absolute minimum value for f? (b). What steps wou...

Q: (a). Find the critical numbers of f (x)

(a). Find the critical numbers of f (x) = x4(x – 1)3. (b). What does the Second Derivative Test tell you about the behavior of f at these critical numbers? (c). What does the First Derivative Test tel...

Q: Sketch the graph of f by hand and use your sketch to

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Use the graphs and transformations of Sections 1.2 and 1.3.)

Q: f (x) = 2x3 - 3x2 - 12x (

f (x) = 2x3 - 3x2 - 12x (a). Find the intervals of increase or decrease. (b). Find the local maximum and minimum values. (c). Find the intervals of concavity and the inflection points. (d). Use the in...

Q: f (x) = 2 + 3x - x3 (

f (x) = 2 + 3x - x3 (a). Find the intervals of increase or decrease. (b). Find the local maximum and minimum values. (c). Find the intervals of concavity and the inflection points. (d). Use the inform...

Q: (a). Find the vertical and horizontal asymptotes. (

(a). Find the vertical and horizontal asymptotes. (b). Find the intervals of increase or decrease. (c). Find the local maximum and minimum values. (d). Find the intervals of concavity and the inflecti...

Q: Two cars start moving from the same point. One travels south

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?

Q: Find the critical numbers of the function. f (x

Find the critical numbers of the function. f (x) = x-2 ln x