The derivative of ln x is 1/x. Replacing the expression, that gives you 1 / (1-x). By the chain rule, this must then be multiplied by the derivative of (1-x), which is -1. So, the final result is -1 / (1-x).

You use litres to measure the capacity of a car's gas tank.

21.7495

Fresnel's biprism is commonly used in experiments to study interference and diffraction of light. It can be used to produce interference fringes, measure the wavelength of light, and study wavefront properties. Additionally, it is used in optical systems for generating coherent light sources.

Mt. Everest is composed of various types of rocks, such as granite, gneiss, and schist. Common minerals found in the rocks of Mt. Everest include quartz, feldspar, and mica. The mountain also contains deposits of limestone, shale, and sandstone.

of Log, The business of felling trees, cutting them into logs, and transporting the logs to sawmills or to market.

The substance that gives leaves their green color is chlorophyll. Chlorophyll is a pigment found in the chloroplasts of plant cells and is essential for photosynthesis, the process by which plants convert sunlight into energy.

An ordered variable is a type of variable in statistics that has a definite order or ranking. Examples include levels of education (e.g., elementary, high school, college) or income brackets (e.g., low, medium, high). It is different from a categorical variable in that the categories can be arranged in a meaningful sequence.

Square meters measure area, while cubic meters measure volume. To convert square meters to cubic meters, you would need to know the height or depth of the area you are measuring in order to calculate the volume. You would multiply the square meters by the height in meters to get the cubic meters.

Both sides of an equation are equal to each other, meaning that the quantities on the left side of the equal sign are the same as the quantities on the right side of the equal sign. This is the fundamental principle of solving equations in mathematics.

Spherical harmonic functions are a set of functions defined on the surface of a sphere, often used to represent physical properties or solutions to differential equations that exhibit spherical symmetry. They are commonly used in fields such as geophysics, quantum mechanics, and computer graphics for tasks such as analyzing global data, modeling atomic orbitals, or generating realistic lighting effects. Each spherical harmonic function is characterized by two integer indices, and they form a complete orthonormal basis set on the sphere.

Living things are characterized by a set of features, such as the ability to grow, reproduce, respond to stimuli, adapt to their environment, and maintain homeostasis. These essential characteristics differentiate living organisms from non-living entities. Additionally, living things are made up of cells, which are the fundamental units of life and carry out all the necessary functions for the organism to survive.

The angle of refraction for a beam of light striking a diamond at an angle of 45 degrees will depend on the refractive index of the diamond material. The angle of refraction would be less than 45 degrees due to the bending of light as it enters the denser medium of the diamond.

The halogens are the most reactive group of nonmetals. This group includes elements like fluorine, chlorine, bromine, and iodine, which readily react with other elements to form compounds. They have high electronegativity and tend to gain electrons in chemical reactions.

Potash is also known as potassium carbonate, a potassium salt that is commonly used in fertilizers and industrial applications.

Seeing as history shows that Miss Catherine Storer called off their marriage when Newton was 19 (in 1662, by basic math. He was born in January of 1643.), we can only assume that they were dating some time before then... He moved into the apothecary where she lived when he was 12, so that would give them a range of six or seven years to be together. Many sources say they were childhood sweethearts, Newton often making furniture and dollhouses for her dolls.

So, I would put the time the started dating from between 1655 and 1662.

A kilogram is the base unit for mass in the SI system.

There are 126 inches in ten and a half feet. This can be calculated by multiplying 10.5 feet by 12 inches per foot.

A practical application is a specific way in which a concept or theory is put into use to solve a real-world problem or achieve a specific goal. It involves implementing an idea or process in a tangible way that delivers measurable results and benefits.

That depends on what you are doing with the 3s... unfortunately, the numerical symbols are getting erased when you ask a question. Here are some possibilities:

3 + 3 = 6

3 x 3 = 9

3 - 3 = 0

3 divided by 3 = 1

Isaac Newton did not discover viscosity, but he did develop mathematical equations to describe the behavior of fluids in motion, including viscosity. He formulated Newton's law of viscosity, which states that the shear stress between adjacent fluid layers is directly proportional to the velocity gradient between the layers.

One hundred twenty eight fluid ounces is in a gallon. There are two cups (8oz per cup) in a pint. Two pints (16oz per pint) in a quart, and 4 quarts (32 oz per quart) in a gallon (128 fluid ounces).

A calorimeter is a device used to measure the heat energy released or absorbed during a chemical reaction or physical change. It helps in determining the specific heat capacities, heats of reactions, and calorific values of substances.

Desiccators are a type of container that is used to maintain a dry environment for storing moisture-sensitive items. They typically contain a desiccant, such as silica gel, which absorbs moisture to prevent damage to the stored items. Desiccators are commonly used in laboratories for storing chemicals, samples, and other moisture-sensitive materials.