Questions from General Calculus

Q: Graph the function y = xn2-x, x > 0

Graph the function y = xn2-x, x > 0, for n = 1, 2 ,3, 4, 5 and 6. How does the graph change as n increases?

Q: The curves with equations y = |x| / √c

The curves with equations y = |x| / √c – x2 are called bullet-nose curves. Graph some of these curves to see why. What happens as c increases?

Q: Find the domain and sketch the graph of the function.

Find the domain and sketch the graph of the function. f (x) = 2 - 0.4x

Q: This exercise explores the effect of the inner function on a composite

This exercise explores the effect of the inner function on a composite function y = f (g (x)). (a). Graph the function y = sin (√x) using the viewing rectangle [0, 400] by [-1.5, 1.5]. How does this g...

Q: Find f0g0h. f (x) = x + 1

Find f0g0h. f (x) = x + 1 g(x) = 2x h (x) = x - 1

Q: Find f0g0h. f (x) = 2x - 1

Find f0g0h. f (x) = 2x - 1 g (x) = x2 h (x) = 1 - x

Q: Find f0g0h. f (x) = √x -

Find f0g0h. f (x) = √x - 3 g (x) = x2 h (x) = x3 + 2

Q: Find f0g0h. f (x) = tan x,

Find f0g0h. f (x) = tan x, g (x) = x/x-1, h (x) = 3√x

Q: At the surface of the ocean, the water pressure is the

At the surface of the ocean, the water pressure is the same as the air pressure above the water, 15 lb/in2. Below the surface, the water pressure increases by 4.34 lb/in2 for every 10 ft of descent. (...

Q: Express the function in the form f0g. F (x

Express the function in the form f0g. F (x) = (2x + x2)4