Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

FIG. 1 6: Cartesian and polar representation of a point. FIG. 1 7: Unit vectors in polar coordinates. Thus, if the Cartesian coordinates are known, the polar coordinates for the same point can be ...

Volumes using cross-sections, the disk method, the washer method and the shell method. Arc length and surface area. Infinite series, power series, Maclaurin and Taylor series. Polar coordinates and ...

The sediment core was retrieved from nearly 1000 meters of water depth in the Amundsen Sea using the seafloor drill rig MARUM ...

STEP 2 - Plot the coordinates (2,3). Remember the x (horizontal) is the first number in the brackets and the y (vertical) is the second number. Each axis is labelled with a scale of numbers ...

But it doesn’t work like that. The custom machine they constructed utilises a polar coordinate system, with a rotating bed (the ‘theta’ axis) and four radial axis gantries arranged at 90 ...

Your heart is full, but your brain is totally empty when it comes to gift ideas this year. Don't worry, we got you. View ...

This clip could be used in the classroom or in an assembly as a way of starting a conversation or as inspiration for artwork, poems or stories. This short film is relevant for teaching science at ...

Polar bears are the planet’s biggest land-based carnivores – although they actually spend most of their lives around water and ice (their Latin name means ‘sea bear’). So they’re at particular risk ...