What is the Ratio Test inconclusive for summation n=1 to infinite (-3)^n-1/n^1/2 (that is, it fails to give a definite answer)?

Find general solutions of the differential equation. Primes denote derivatives with respect to $x$.

$$4 y ^ { \prime \prime } + 8 y ^ { \prime } + 3 y = 0$$

use the properties of logarithms to expand the expression as a sum, difference, and or constant multiple of logarithms. (Assume all variables are positive.) ln ∛x/y

Acid or subtract. $\frac { 6 r s } { r ^ { 2 } s ^ { 2 } } + \frac { 18 r } { r ^ { 2 } s ^ { 2 } }$

Describe Mao Zedong's guerrilla tactics.

A random number generator on a computer selects two integers from 1 through 40. What is the probability that one number is even and one number is odd.

Of the seventeen students in Angela's class, eight play in the school band. What fraction of the total number of students in Angela's class are in the band?

find the equation of the circle

$$x^2 + y^2 + Dx + Ey + F = 0$$

that passes through the points. To verify your result, use a graphing utility to plot the points and graph the circle. (0, 0), (5, 5), (10, 0)

Evaluate or simplify each expression without using a calculator.

$$\log 10 ^ { 7 }$$

Find the positive radian measure of the angle that the second hand of a clock moves through in the given time.

$$4 \text { minutes and } 25 \text { seconds }$$

What must be the relative speed between source and receiver if the wavelength of an EM wave as measured by the receiver is twice the wavelength as measured by the source? Are source and observer moving closer together or farther apart?

Which of the following statement is a disadvantage of using chemical pesticides? a. Pesticides can pollute waterways. b. Pests evolve resistance to pesticides. c. Pesticides kill beneficial insects. d. all of the above

Make the following conversions:

$$2500 ^ { \circ } \mathrm { F }$$

to K

use a graphing utility to graph the quadratic function. Find the x-intercept(s) of the graph and compare them with the solutions of the corresponding quadratic equation when f(x) = 0. f(x) = x^2 - 4x