Questions from General Calculus

Q: We saw in Example 9 that the equation cos x = x

We saw in Example 9 that the equation cos x = x has exactly one solution. (a) Use a graph to show that the equation cos x = 0.3 x has three solutions and find their values correct to two decimal place...

Q: Use the data in the table to model the population of the

Use the data in the table to model the population of the world in the 20th century by a cubic function. Then use your model to estimate the population in the year 1925.

Q: Use graphs to determine which of the functions f (x)

Use graphs to determine which of the functions f (x) = x4 - 100x3 and g (x) = x3 is eventually larger.

Q: (a). How is the graph of y = f (|

(a). How is the graph of y = f (|x|) related to the graph of f? (b). Sketch the graph of y = sin |x|. (c). Sketch the graph of y = √|x|

Q: Graph the polynomials P (x) = 3x2 – 5x3 +

Graph the polynomials P (x) = 3x2 – 5x3 + 2x and Q (x) = 3x5 on the same screen, first using the viewing rectangle [-2, 2] by [-2, 2] and then changing to [-10, 10] by [-10000, 10000]. What do you obs...

Q: Find (a) f + g, (b) f

Find (a) f + g, (b) f - g, (c) fg, and (d) f/g and state their domains.

Q: Find (a) f + g, (b) f

Find (a) f + g, (b) f - g, (c) fg, and (d) f/g and state their domains.

Q: The manager of a furniture factory finds that it costs $2200

The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day. (a). Express the cost as a function of the number of chair...

Q: Find the functions (a) f0g, (b) g0f

Find the functions (a) f0g, (b) g0f, (c) f0f, and (d)g0g and their domains.

Q: Find the functions (a) f0g, (b) g0f

Find the functions (a) f0g, (b) g0f, (c) f0f, and (d)g0g and their domains.