Find the area of the region by subtracting the area of a triangular region from the area of a larger region. The region on or above the x-axis bounded by the curves y² = x + 3 and y = 2x.

In 1902, 44 loaves of bread cost the same amount as 1 loaf of bread in 2006. If a loaf of bread in 2006 costs $1.72 more than in 1902, find the cost of a loaf of bread in 1902.

Find the area of the region. x = 3 sin θ, y = 2 cos θ, -π/2 ≤ θ ≤ π/2

Grammar
The direct object pronouns are

Grammar
The indirect object pronouns are:

Write the explicit formula for each geometric sequence. List the first five terms. $a_{1}=10, r=3$

The quadratic mean (or root mean square, or R.M.S.) is usually used in physical applications. In power distribution systems, for example, voltages and currents are usually referred to in terms of their R.M.S. values. The quadratic mean of a set of values is obtained by squaring each value, adding the results, dividing by the number of values n, and then taking the square root of that result, as indicated below: Quadratic mean$=\sqrt{\frac{\Sigma x^{2}}{n}}$. Find the R.M.S. of these power supplies (in volts) obtained from the author's home generator: 111.2, 108.7, 109.3, 104.8, 112.6.

Find the area enclosed by the graphs of the two curves by integrating with respect to y. y² = x + 3, y = 2x

use the cofunction identities to evaluate the expression without using a calculator. tan^2 63° + cot^2 16° - sec^2 74° - csc^2 27°

Identify the one angle that is not coterminal with all the others. 5π/3, -5π/3, 11π/3, -7π/3 , 365π/3.

Use synthetic substitution to evaluate the polynomial function for the given value of x.

$$f(x) = x^4 + 3x - 20;x = 4$$

Work in groups of two. Compare the functions

$$f(x)=\dfrac{x^2-9}{x-3}$$

and g(x) =x+3 Explain why the graphs appear to be identical.

Select the correct antiderivative. dy/dx = 1 / (x²+1) (a) ln√x²+1+C (b) 2x / (x²+1)² + C (c) arctan x + C (d) ln(x²+1) + C

Find the area of the regions enclosed by the lines and curves. y = x² - 2 and y = 2