Identify the following term or individuals and explain their significance. Dolley Madison

according to the fourth amendment, what must the government do before taking a person’s property?

Read the following description of a coastal arctic food web. Phytoplankton are the primary producers. Phytoplankton are eaten by zooplankton. Arctic cod, which eat zooplankton, are eaten by beluga whales, ringed seals, and walrus. Polar bears eat ringed seals. Draw the food web for this ecosystem. Categorize every organism into their trophic level. Explain why there are so few polar bears in arctic ecosystems.

Find the period, and graph the function. y = tan 4x

write the standard form of the complex number. Then represent the complex number graphically. 9/4(cos 3π/4 + i sin 3π/4)

Write a research paper on the Life and work of Joseph Kruskal, who developed Kruskal's algorithm.

Use the given information about f(x) and its derivatives to determine whether the Midpoint Rule would be exact, underestimate or overestimate the integral (or there’s not enough information to tell). $f^{\prime \prime}(x)>0, f^{\prime}(x)<0$

What interest rate (compounded annually) would you need to earn in order to double your investment in 15 years?

Write 5 sin(2t) + 12 cos(2t) in the form $A \sin (\omega t+\psi).$

$$3 - 1 \frac { 1 } { 8 }$$

How was the economy of India transformed by the British?

Find and interpret the value of the expression in practical terms. Let C(t) be the concentration of carbon dioxide in parts per million (ppm) in the air as a function of time, t, in months since December 1, 2005: $C ( t ) = 3.5 \sin \left( \frac { \pi t } { 6 } \right) + 381 + \frac { t } { 6 }.$ C'(30)

You pass Earth in a spaceship that moves at $0.99 c$ relative to Earth. Do you notice a change in your heartbeat rate? Does an observer on Earth think your heart is beating at the normal rate? Do you think the heartbeat of Earth’s observer is normal? Explain all three of your answers.

When monochromatic light shines perpendicularly on a soap film (n=1.33) with air on each side, the second smallest nonzero film thickness for which destructive interference of reflected light is observed is 296 nm. What is the vacuum wavelength of the light in nm?