Test the series for convergence.

$$\sum_{k=1}^{\infty} \frac{1}{\sqrt{2 k+3}}$$

(a) Use the intermediate Value theorem to confirm that a zero exists in the given interval (b) Use Newton's Method to find $c_1$ the third approximation to the real zero. $f(x)=2-x+\sin x$ interval $\left(\frac{\pi}{2}, \pi\right)$ Let $c_1=\dfra{\pi}{2}$

Write an activity that goes with each of these characteristics: sociable, estudioso, trabajador

Solve each equation by the square root method. $2 x ^ { 2 } - 1 = 17$

Use what you have learned about the polarity of water molecules and how ionic substances dissolve to make a three-step diagram or computer presentation showing how water molecules attract, surround, and dissolve an ionic substance.

Where are the kidneys located in the abdominopelvic cavity?

How is a tsunami different from an ordinary ocean wave?

Describe how the life of a teen parent differs from the life of a teen without a child.

Two long straight wires are parallel and carry current in the same direction. The currents are 8.0 and 12 A and the wires are separated by 0.40 cm. The magnetic field in tesla at a point midway between the wires is: A. 0 B. $4.0 \times 10^{-4}$ C. $8.0 \times 10^{-4}$ D. $12.0 \times 10^{-4}$ E. $20.0 \times 10^{-4}$

What purposes do you think the author had for writing Colin Powell Military Leader?

Mutations in the CF gene that cause cystic fibrosis are carried by 1 in 20 individuals of Caucasian ancestry. The disease is clearly detrimental, yet the allele is maintained at a relatively high level in the population. What does this paradox suggest about the effect of the mutation?

State a polynomial that has the zeros given below and 1 as the leading coefficient. Roots: 6, -2 and 3

A flow calorimeter is an apparatus used to measure the specific heat of a liquid. The technique is to measure the temperature difference between the input and output points of a flowing stream of the liquid while adding energy at a known rate. In a particular experiment, a liquid of density 0.72 g/cm$^3$ flows through the calorimeter at the rate of 3.5 cm$^3$/s. At steady state, a temperature difference of 5.8$^ { \circ } C$ is established between the input and output points when energy is supplied at the rate of 40 J/s. What is the specific heat of the liquid?

A ball is dropped from a height of 20 feet. Each time it strikes the ground, it bounces up to three-quarters of the previous height. What height will the ball bounce up to after it strikes the ground for the third time?