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What calculates the payments for loan based on constant payment at a constant interest rate?
Simple interest.
A hemi-spherical vessel has internal radius 0.5 m It is initially empty Water flows in at a constant rate of 1 liter per second Find an expression for the depth of the water after t seconds?
Since the vessel is hemispherical, its volume can be given by:V=((4/3)(pi)r3)/2V=(2/3)(pi)r3where r is the radius of the vessel.Since water is flowing into the vessel at a constant rate of 1 L/s, the volume of water in the vessel is thereby increasing at a constant rate of 1 L/s.By deriving the volume equation for the vessel with respect to time, we can equate the rate of change of the volume of water to the rate of change of the radius of the surface of water:dV/dt = (2/3)(pi)(3r2)(dr/dt)You must derive implicitly, so r3 derives down to 3r2(dr/dt) since the radius is also in itself a function of time. This equation can be cleaned up:dV/dt = 2(pi)r2(dr/dt)By solving for dr/dt, we get an expression for rate of change of the radius of the surface of water.dr/dt = (dV/dt)/(2(pi)r2)From the problem, we know that dV/dt is 1 L/s, and the radius of the hemisphere is a constant 0.5 m. We can substitute these known values into the equation:dr/dt = 1/(2(pi)(0.5)2)dr/dt = 2/piThis is the rate of change of the radius of the surface of water. The rate of change is a constant, which is important. Since it is constant, you can simply multiply this rate of change by a quantity of time to find the radius of the water level at any specific time. This is analogous to multiplying a constant velocity times a quantity of time to know an object's position at that time (a rate of change times an amount of change). We know that the vessel has an overall radius of 0.5 m, so the radius of the surface of water cannot exceed 0.5m.(dr/dt)= 2/pitherefore, depth at time t, D= 2t/piThis model gives the depth of the water (D) at any given time (t). As t increases, D(t) will return larger and larger values, which is expected since the water depth will increase as more water flows in.
What is the complication rate following a lymphadenectomy?
The rate of complications following lymphadenectomy depends on the specific lymph nodes being removed. For example, following axillary lymphadenectomy, there is a 10% chance of chronic lymphedema
What is a nonzero constant?
Any number that doesn't change is a constant. Some famous ones are the gravitational constant, the speed of light in a vacuum, and Planck's constant.
If the radius of a cylinder is kept constant the derivative of cylinder volume is constant Why?
Volume of cyliner=Pi(r2)h so if r is constant, the ony variable is h so what is dv/dh? Pi(r2) which is constant.
Difference between rate constant and specific rate constant?
There is no difference between them they are same rate constant is another name of specific rate constant
Specific rate constant?
specific rate constant is an experimentally determined proportionality constant which is different for different reactions and changes only with temperature.
How do you differentiate between reaction rate and specific rate constant?
The reaction rate is the rate at which the moles of substance change that varies with both temperature and concentration of the reactants. The specific rate constant is a proportionality constant that will vary only with temperature.
Define capacitive time constant in terms of charging and discharging?
The product of resistance and capacitance is referred to as the time constant. It determines rate of charging and discharging of a capacitor.
What is the rate constant for this first-order reaction?
The rate constant for a first-order reaction is a constant value that determines how quickly the reaction occurs. It is denoted by the symbol "k" and is specific to each reaction. The rate constant can be calculated by using experimental data from the reaction.
In what ways do reaction rate, rate law, and rate constant differ in chemical kinetics?
In chemical kinetics, reaction rate refers to how fast a reaction occurs, rate law is the mathematical expression that relates the reaction rate to the concentrations of reactants, and rate constant is a constant value that represents the speed of the reaction at a specific temperature.
What experimental methods can be used to determine the specific rate constant, k, for a chemical reaction?
Experimental methods that can be used to determine the specific rate constant, k, for a chemical reaction include the method of initial rates, the method of integrated rate laws, and the method of isolation. These methods involve varying the concentrations of reactants, measuring the rate of reaction at different conditions, and analyzing the data to determine the rate constant.
What is the zero order reaction rate law and how does it determine the rate of a chemical reaction?
The zero order reaction rate law states that the rate of a chemical reaction is independent of the concentration of the reactants. This means that the rate of the reaction remains constant over time. The rate of the reaction is determined solely by the rate constant, which is specific to each reaction. This rate law is expressed as: Rate k, where k is the rate constant.
Is the motion down slope occurring at a constant or change rate?
changing. only under specific requirements would the motion be constant.
Define stability factor?
beta is defined as the rate of change of collector current (Ic) with respect to the collector leakage current (Ico) keeping beta and (VBE) constant also (IB) constant.
How do you define constant?
Constant means an ongoing situation or thing.
How do you define a constant in PHP?
You can define a constant using the define() directive.you can use this a number of ways;to define a variable to a constant do:$string = "hello";define("string",$string);to define a string to a constant use:define("hello","there");to define a integer or other numerical value use:define("number",1.0);Summery:to define a string use quotes as you would do a string.Unlike variables in PHP a constant cannot be changed or undefined once it is defined. Constant remains automatically globally throughout the script. It means that it can be accessed from inside a function. e.g.
