Answer: Approximating definite integrals Use a Taylor

Principles of Economics 2
In a country, private savings equals 600, the government budget surplus equals 200, and the trade surplus equals 100. What is the level of private investment in this economy?

Calculus: Early Transcendentals 9
Find a formula for the inverse of the function. \(f(x)=1-x^{2}, \quad x \geqslant 0\)

Biology 2e by Openstax
Which of the following is a biotic factor? a. wind b. disease-causing microbe c. temperature d. soil particle size

Psychology 5
The prisoners dilemma game illustrates a. in-group favoritism. b. the diffusion of responsibility. c. group polarization. d. the benefits and costs of cooperation.

Brief Applied Calculus
First make a substitution and then use integration by parts to evaluate the integral. \(\int t^{3} e^{-t^{2}} d t\)

Differential Equations with Boundary-Value Problems 9
Reread the discussion following Example 5. Construct a linear first-order differential equation for which all solutions are asymptotic to the line y = 3x - 5 as \(x \rightarrow \infty\)

Principles of Economics 9
The demand curve for cookies is downward-sloping. When the price of cookies is $3, the quantity demanded is 100. If the price falls to $2, what happens to consumer surplus? a. It falls by less than $100. b. It falls by more than $100. c. It rises by less than $100. d. It rises by more than $100.

Introductory Chemistry: A Foundation 9
How does equilibrium represent the balancing of opposing processes? Give an example of an equilibrium encountered in everyday life, showing how the processes involved oppose each other.